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fukuda1.bib
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% fukuda1.bib
% last modified: January 8, 2022
@techreport{f-pc-20
, author = " K. Fukuda"
, title = "{P}olyhedral {C}omputation"
, institution = "ETH Zurich"
, type = "Research Collection"
, year = 2020
, isbn="978-3-907234-10-5"
, note = "\url{https://doi.org/10.3929/ethz-b-000426218}"
, keywords = "polyhedral computation, textbook"
}
@techreport{f-io-20
, author = " K. Fukuda"
, title = "{I}ntroduction to {O}ptimization"
, institution = "ETH Zurich"
, type = "Research Collection"
, year = 2020
, isbn="978-3-906916-73-6"
, note = "\url{http://hdl.handle.net/20.500.11850/426221}"
, keywords = "optimization, textbook"
}
@article{fgs-crd-16,
author="Fukuda, Komei
and G{\"a}rtner, Bernd
and Szedl{\'a}k, May",
title="Combinatorial redundancy detection",
journal="Annals of Operations Research",
year="2016",
month="Dec",
day="08",
issn="1572-9338",
url="https://doi.org/10.1007/s10479-016-2385-z"
}
@incollection {fgs-crd-15,
AUTHOR = {Fukuda, K. and G{\"a}rtner, B. and Szedl{\'a}k, M.},
TITLE = {Combinatorial redundancy detection},
BOOKTITLE = {31st {I}nternational {S}ymposium on {C}omputational
{G}eometry},
SERIES = {LIPIcs. Leibniz Int. Proc. Inform.},
VOLUME = {34},
PAGES = {315--328},
PUBLISHER = {Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern},
YEAR = {2015},
MRCLASS = {90C05 (68Q25)},
MRNUMBER = {3392788},
}
@article {cfgr-cgmoma-15,
AUTHOR = {Cordovil, Raul and Fukuda, Komei and Gioan, Emeric and
Ram{\'{\i}}rez Alfons{\'{\i}}n, Jorge},
TITLE = {Combinatorial geometries: matroids, oriented matroids and
applications. {S}pecial issue in memory of {M}ichel {L}as
{V}ergnas [{P}reface]},
JOURNAL = {European J. Combin.},
FJOURNAL = {European Journal of Combinatorics},
VOLUME = {50},
YEAR = {2015},
PAGES = {1--3},
ISSN = {0195-6698},
MRCLASS = {05-06 (52-06)},
MRNUMBER = {3361406},
DOI = {10.1016/j.ejc.2015.05.012},
URL = {http://dx.doi.org/10.1016/j.ejc.2015.05.012},
}
@techreport{fkm-eplcp4c-13
, author = "K. Fukuda and L. Klaus and H. Miyata"
, title = "Enumeration of PLCP-orientations of the $4$-cube"
, note = "\url{http://arxiv.org/abs/1309.7225}"
, url = "http://arxiv.org/abs/1309.7225"
, year = 2013
}
@misc{f-lnpc-15,
author = {K. Fukuda},
title = {Lecture Notes: Polyhedral Computation},
year = 2015,
institution = {ETH Zurich, Switzerland},
url = {http://www-oldurls.inf.ethz.ch/personal/fukudak/lect/pclect/notes2015/},
}
@misc{f-lnpc-14,
author = {K. Fukuda},
title = {Lecture Notes: Polyhedral Computation},
year = 2014,
institution = {ETH Zurich, Switzerland},
url = {http://www.vvz.ethz.ch/Vorlesungsverzeichnis/lerneinheitPre.do?lerneinheitId=89196&semkez=2014S&lang=en},
update = {14.11 fukuda}
}
@misc{f-lnpc-13,
author = {K. Fukuda},
title = {Lecture Notes: Polyhedral Computation},
year = 2013,
institution = {ETH Zurich, Switzerland},
url = {http://www.vvz.ethz.ch/Vorlesungsverzeichnis/lerneinheitPre.do?lerneinheitId=82063&semkez=2013S&lang=en},
update = {13.02 fukuda}
}
@misc{f-lnpc-12,
author = {K. Fukuda},
title = {Lecture Notes: Polyhedral Computation},
year = 2012,
howpublished = {ETH, Zurich, Switzerland},
note = {\url{https://people.inf.ethz.ch/fukudak/lect/pc2016/}}
}
@misc{f-lnio-11,
author = {K. Fukuda},
title = {Lecture Notes: Introduction to Optimization},
year = 2011,
institution = {ETH Zurich, Switzerland},
note = {\url{https://people.inf.ethz.ch/fukudak/lect/opt2011/}}
}
@article{fmm-cesrom-13,
title = {Complete enumeration of small realizable oriented matroids},
author = {K. Fukuda and H. Miyata and S. Moriyama},
year = {2013},
journal = "Discrete Comput. Geom.",
volume = 49,
pages = {359--381},
note = {\url{http://arxiv.org/abs/1204.0645}}
}
@article{fmm-cesrom-12,
title = {Complete enumeration of small realizable oriented matroids},
author = {K. Fukuda and H. Miyata and S. Moriyama},
year = {2012},
journal = "Discrete Comput. Geom., to appear",
note = {\url{http://arxiv.org/abs/1204.0645}}
}
@misc{f-woanfr-11,
author = {K. Fukuda},
title = {Walking on the arrangement, not on the feasible region},
year = 2011,
howpublished = {Efficiency of the Simplex Method: Quo vadis Hirsch conjecture?, IPAM, UCLA},
note = {\url{https://www.ipam.ucla.edu/schedule.aspx?pc=sm2011}}
}
@proceedings{fhjt-icms2010-10,
editor = "K. Fukuda and J. van der Hoeven and M. Joswig and N. Takayama",
title = "Mathematical Software - ICMS 2010",
volume = 6327,
series = "Lecture Notes in Computer Science",
year = 2010,
publisher = "Springer-Verlag"
}
@inproceedings{mmf-cesrom-10,
title = {Complete enumeration of small realizable oriented matroids},
author = {H. Miyata and S. Moriyama and K. Fukuda},
year = {2010},
booktitle = {Proceedings of CCCG (Canadian Conference on Computational Geometry)}
}
@article{ffk-ccokm-11,
Author = {Foniok, J. and Fukuda, K. and Klaus, L.},
Title = {Combinatorial Characterizations of {K}-matrices},
Journal = {Linear Algebra and its Applications},
Volume = {434},
Pages = {68--80},
Url = {http://www.sciencedirect.com/science/article/pii/S0024379510004167},
Year = {2011}}
@unpublished{ffk-ccokm-09,
Author = {Foniok, J. and Fukuda, K. and Klaus, L.},
Note = {\url{http://arxiv.org/abs/0911.2171}},
Title = {Combinatorial Characterizations of {K}-matrices},
Year = {2009}}
@incollection{cfj-osamplc-09
, author = "S. Columbano and K. Fukuda and C. Jones"
, title = "An output-sensitive algorithm for multi-parametric LCPs with sufficient matrices"
, editor = "D. Avis and D. Bremner and A. Deza"
, booktitle = "Polyhedral Computation"
, series = "CRM Proceedings and Lecture Notes"
, publisher = "Amer. Math. Soc."
, address = "Providence, RI"
, note = "\url{http://arxiv.org/abs/0807.2318}"
, volume = "48"
, pages = "73-102"
, year = 2009
}
@techreport{cfj-osampl-08
, author = "S. Columbano and K. Fukuda and C. Jones"
, title = "An output-sensitive algorithm for multi-parametric LCPs with sufficient matrices"
, note = "\url{http://arxiv.org/abs/0807.2318}"
, url = "http://arxiv.org/abs/0807.2318"
, year = 2008
}
@techreport{ffgl-pilctp-08
, author = "J. Foniok and K. Fukuda and B. G{\"a}rtner and H.-J. L{\"u}thi"
, title = "Pivoting in linear complementarity: two polynomial-time cases"
, note = "\url{http://arxiv.org/abs/0807.1249}"
, url = "http://arxiv.org/abs/0807.1249"
, year = 2008
}
@article{ffgl-pilctp-09
, author = "J. Foniok and K. Fukuda and B. G{\"a}rtner and H.-J. L{\"u}thi"
, title = "Pivoting in linear complementarity: two polynomial-time cases"
, journal = "Discrete Comput. Geom."
, volume = 42
, year = 2009
, pages = "187--205"
, note = "\url{http://arxiv.org/abs/0807.1249}"
, url = "http://arxiv.org/pdf/0807.1249v1"
}
@incollection {f-easopc-08,
AUTHOR = {K. Fukuda},
TITLE = {Exact algorithms and software in optimization and polyhedral
computation},
BOOKTITLE = {I{SSAC} 2008},
PAGES = {333--334},
PUBLISHER = {ACM},
ADDRESS = {New York},
YEAR = {2008},
MRCLASS = {68M99 (65K10 68U05 90C57)},
MRNUMBER = {MR2500417},
}
@article{af-beals-91
, author = "D. Avis and K. Fukuda"
, title = "A basis enumeration algorithm for linear systems with geometric applications"
, journal = "Applied Mathematics Letters"
, volume = 4
, number = 5
, year = 1991
, sortkey = "0059"
, pages = "39--42"
, keywords = "basis, enumeration, linear programming"
, update = "94.06 fukuda"
}
@techreport{af-ddcme-02
, author = "A. Andrzejak and K. Fukuda"
, title = "Debugging of distributed computations via memory-efficient enumeration of global states"
, type = "{HP} Labs Technical Reports, {HPL-2002-31}"
, institution = "HP Laboratories"
, note = "\url{http://www.hpl.hp.com/techreports/2002/HPL-2002-31.html}"
, year = 2002
, month = "February"
}
@inproceedings{af-ddcrs-02
, author = "A. Andrzejak and K. Fukuda"
, title = "Debugging distributed computations by reverse search"
, booktitle = "Proceedings of the 21st {IASTED} International Conference on Parallel and Distributed Computing and Networks ({PDCN}'2003), February 2003"
, year = "2002"
}
@inproceedings{af-ookpek-99
, author = "A. Andrzejak and K. Fukuda"
, title = "Optimization over k-set polytopes and efficient k-set enumeration"
, series = {LNCS 1663}
, booktitle = {Proc. 6th International Workshop on Algorithms And Data Structures (WADS'99)}
, publisher = {Springer-Verlag}
, year = 1999
, sortkey = "0051"
, pages = "1--12"
, keywords = "k-sets, arrangements, point configuration, enumeration, reverse search"
}
@inproceedings{af-pachv-91
, author = "D. Avis and K. Fukuda"
, title = "A pivoting algorithm for convex hulls and vertex enumeration of arrangements and polyhedra"
, booktitle = "Proc. 7th Annu. ACM Sympos. Comput. Geom."
, year = 1991
, pages = "98--104"
, precedes = "af-pachv-92"
}
@article{af-pachv-92
, author = "D. Avis and K. Fukuda"
, title = "A pivoting algorithm for convex hulls and vertex enumeration of arrangements and polyhedra"
, journal = "Discrete Comput. Geom."
, volume = 8
, year = 1992
, sortkey = "0058"
, pages = "295--313"
, keywords = "polytopes, linear programming"
, succeeds = "af-pachv-91"
, annote = {A new algorithm for convex hull computation in general dimensional space. The main idea is to use a simple but powerful technique
of reverse search. Both the space complexity is optimal, and the time complexity is optimal under the nondegeneracy assumption.}
}
@techreport{af-rse-92
, author = "D. Avis and K. Fukuda"
, title = "Reverse search for enumeration"
, type = "Tech.\ {Report}"
, number = "No. 92-5"
, institution = "Graduate School of Systems Management, University of Tsukuba"
, address = "Tokyo, Japan"
, year = 1992
, annote = {Reverse search is a general exhaustive search technique which came out of the new convex hull algorithm by the authors. This technique can be applied to many enumeration problems in computer science, operations research and geometry. It is highly suitable for parallelization.}
}
@article{af-rse-96
, author = "D. Avis and K. Fukuda"
, title = "Reverse search for enumeration"
, journal = "Discrete Applied Mathematics"
, volume = 65
, year = 1996
, pages = "21--46"
, annote = {Reverse search is a general exhaustive search technique which came out of the new convex hull algorithm by the authors. This technique can be applied to many enumeration problems in computer science, operations research and geometry. It is highly suitable for parallelization.}
}
@techreport{aflp-uqzop-98
, author = "K. Allemand and K. Fukuda and Th. M. Liebling and A. Prodon"
, title = "The Unconstrained Quadratic Zero One Programming"
, type = "{NSF} Project in progress"
, institution = "Swiss Federal Institute of Technology, Lausanne"
, year = "1998"
, keywords = "{NP}-hard, branch-and-bound, heuristics"
}
@techreport{afls-pcuzqo-00
, author = "K. Allemand and K. Fukuda and Th. M. Liebling and E. Steiner"
, title = "A polynomial case of unconstrained zero-one quadratic optimization"
, type = "Tech.\ {Report}"
, institution = "Swiss Federal Institute of Technology, Lausanne"
, year = "2000"
, note = "presented at the 17th International Symposium on Mathematica Programming,
Atlanta, submitted to Mathematical Programming"
, keywords = "{NP}-hard, polynomial case, zonotope"
}
@article{afls-pcuzqo-01
, author = "K. Allemand and K. Fukuda and Th. M. Liebling and E. Steiner"
, title = "A polynomial case of unconstrained zero-one quadratic optimization"
, journal = "Mathematical Programming, Ser. A"
, volume = 91
, year = 2001
, pages = "49--52"
, keywords = "{NP}-hard, polynomial case, zonotope"
}
@inproceedings{afp-ocrcp-02
, author = "D. Avis and K. Fukuda and S. Picozzi"
, title = "On canonical representations of convex polyhedra"
, booktitle = "Mathematical Software, Proceedings of the First International Congress of Mathematical Software "
, publisher = {World Scientific Publishing}
, year = "2002"
, editor = {A. M. Cohen and X.-S. Gao and N. Takayama}
, pages = {350--360},
}
@inproceedings{bef-cevcm-00,
author = {B. B{\"{u}}eler and A. Enge and K. Fukuda},
title = {Exact volume computation for convex polytopes: A practical study},
year = 2000,
booktitle = {Polytopes -- Combinatorics and Computation},
editor = {G. Kalai and G. M. Ziegler},
series = {DMV-Seminar 29},
publisher = {Birkh\"{a}user},
pages = {131--154},
note = "\url{http://www.cs.mcgill.ca/~fukuda/download/paper/volcomp980807.pdf}",
keywords = {volume, convex polytoeps, convex hull, vertex enumeration, triangulation},
annote = {The main goal of this research is to investigate practicality of existing algorithms
for the volume computation of $d$ dimensional convex polytopes. Many of the existing exact algorithms have been programmed.},
precedes = "bef-cevcm-98",
}
@TECHREPORT{bef-cevcm-97,
AUTHOR = {B. Bueeler and A. Enge and K. Fukuda},
TITLE = {Exact volume computation for convex polytopes: A practical study},
YEAR = 1997,
MONTH = {December},
TYPE = {Preprint},
INSTITUTION = {IFOR, ETH Zurich},
keywords = {volume, convex polytoeps, convex hull, vertex enumeration, triangulation},
annote = {The main goal of this research is to investigate practicality of existing algorithms
for the volume computation of $d$ dimensional convex polytopes. Many of the existing exact algorithms have been programmed.}
}
@article{bff-cgeoro-01
, author = "E. Babson and L. Finschi and K. Fukuda"
, title = "Cocircuit graphs and efficient orientation reconstruction in oriented matroids"
, journal = "Europ. J. Combinatorics"
, volume = 22
, number = 5
, pages = "587--600"
, year = 2001
}
@article{bf-cwupc-05
, author = "I. B\'{a}r\'{a}ny and K. Fukuda"
, title = "A case when the union of polytopes is convex"
, journal = "Linear Algebra and its Applications"
, year = "2005"
, volume = 397
, pages = "381--388"
}
@inproceedings{bfm-pdmvf-97
, author = "D. Bremner and K. Fukuda and A. Marzetta"
, title = "Primal-Dual Methods for Vertex and Facet Enumeration"
, booktitle = "Proc. 13th Annu. ACM Sympos. Comput. Geom."
, year = 1997
, pages = "49--56"
, precedes = "bfm-pdmvf-97a"
}
@article{bfm-pdmvf-98
, author = "D. Bremner and K. Fukuda and A. Marzetta"
, title = "Primal-Dual Methods for Vertex and Facet Enumeration"
, journal = "Discrete Comput. Geom."
, year = 1998
, volume = 20
, pages = "333--357"
, keywords = "volume, convex polytopes, convex hull, vertex enumeration, triangulation"
}
@TECHREPORT{bfr-pdadd-04
, author = "D. Bremner and K. Fukuda and V. Rosta"
, title = "Primal-dual algorithms for data depth"
, institution = "ETH Zurich"
, year = "2004"
}
@incollection{bfr-pdadd-06
, author ="D. Bremner and K. Fukuda and V. Rosta"
, title ="Primal-dual algorithms for data depth"
, editor ="Regina Y. Liu"
, booktitle ="Data Depth: Robust Multivariate Analysis, Computational Geometry and Applications"
, series ="DIMACS: Series in Discrete Mathematics and Theoretical Computer Science"
, volume = "72"
, publisher ="AMS"
, year =2006
, pages ="171-194"
}
@TECHREPORT{bft-crcup-00
, author = "A. Bemporad and K. Fukuda and F.D. Torrisi"
, title = "Convexity Recognition and Computation of the Union of Polytopes"
, institution = "ETH Zurich"
, type = "Technical Report {AUT}00-13, {ETH} {Z}urich"
, note = "presented at International
Conference on Advances in Convex Analysis and Global Optimization, Samos, Greece (June 2000)"
, year = 2000
}
@article{bft-crup-01
, author = "A. Bemporad and K. Fukuda and F.D. Torrisi"
, title = "Convexity Recognition of the Union of Polyhedra"
, journal = "Computational Geometry"
, volume = 18
, pages = "141--154"
, keywords = "union, convex polytopes, Charatheodory"
, year = 2001
}
@techreport{bmfn-psbza-96
, author = " A. Br{\"{u}}ngger and A. Marzetta and K. Fukuda and J. Nievergelt"
, title = "The parallel search bench ZRAM and its
applications"
, institution = "ETH Zurich"
, month = "May"
, year = 1996
, keywords = "reverse search, parallel, enumeration"
, annote = {This is a part of the project (ZRAM) that is to develop an environment for writing parallel exhaustive search programs. This environment lets the programmer to write a parallel {C}code without worrying about load-balancing or particular machines. Of special interests are reverse search algorithms that can be used for many different purposes.}
}
@article{bmfn-psbza-99
, author = " A. Br{\"{u}}ngger and A. Marzetta and K. Fukuda and J. Nievergelt"
, title = "The parallel search bench ZRAM and its
applications"
, journal = "Annals of Operations Research"
, year = 1999
, volume = "90"
, pages = "45--63"
, keywords = "reverse search, parallel, enumeration"
, annote = {This is a part of the project (ZRAM) that is to develop an environment for writing parallel exhaustive search programs. This environment lets the programmer to write a parallel {C}code without worrying about load-balancing or particular machines. Of special interests are reverse search algorithms that can be used for many different purposes.}
}
@article{cf-omcm-93
, author = "R. Cordovil and K. Fukuda"
, title = "Oriented matroids and combinatorial manifolds"
, journal = "Europ. J. Combinatorics"
, volume = 14
, year = 1993
, pages = "9--15"
, keywords = "oriented matroids, connectivity, topes"
}
@article{cfg-ocgom-00
, author = "R. Cordovil and K. Fukuda and A. Guedes de Oliveira"
, title = "On the cocircuit graph of an oriented matroid"
, journal = "Discrete Comput. Geom."
, volume = 24
, year = 2000
, pages = "257--265"
, keywords = "arrangements, reconstruction, oriented matroid"
}
@unpublished{cfg-ocgom-91
, author = "R. Cordovil and K. Fukuda and A. Guedes de Oliveira"
, title = "On the cocircuit graph of an oriented matroid"
, note = "unpublished report"
, year = 1991
, keywords = "arrangements, reconstruction, oriented matroid"
}
@article{cfm-cm-91
, author = "R. Cordovil and K. Fukuda and M.L. Moreira"
, title = "Clutters and matroids"
, journal = "Discrete Mathematics"
, volume = 89
, year = 1991
, pages = "161--171"
, keywords = "matroids, clutters"
}
@article{cgaf-gstfl-94
, author = "G. Ceder and G.D. Garbulsky and D. Avis and K. Fukuda"
, title = "Ground states of a ternary FCC lattice model with nearest and next-nearest neighbor interactions"
, journal = "Physical Review B"
, volume = 49
, number = 1
, year = 1994
, pages = "1--7"
, keywords = "Ising model, vertex enumeration, alloy"
, annote = {This paper describes a cross-over research that combined two areas of science, material science and geometric computation. The first two authors are experts of mathematical modelling of alloys who sent by e-mail a concrete model to the last two to solve by computer. The key problem was the vertex enumeration of a convex polytope in $7$ dimenstional space.}
}
@inproceedings{ddf-osdvm-96
, author = {A. Deza and M. Deza and K. Fukuda}
, title = {On skeletons, diameters and volumes of metric polyhedra}
, year = 1996
, booktitle = {Combinatorics and Computer Science}
, editor = "M. Deza and R. Euler and I. Manoussakis"
, series = {Lecture Notes in Computer Science}
, publisher = {Springer-Verlag}
, volume = 1120
, pages = {112--128}
}
@inproceedings{df-bmo-86
, author = "M. Deza and K. Fukuda"
, title = "On bouquets of matroids and orientations"
, booktitle = "Kokyuroku"
, publisher = "Research Institute for Mathematical Sciences, Kyoto University"
, volume = 587
, year = 1986
, pages = "110--129"
, keywords = "squashed geometry, oriented matroids, bouquets of matroids"
}
@article{df-iplp-98,
AUTHOR = {Da Silva, I.P.F. and Fukuda, K.},
TITLE = {Isolating points by lines in the plane},
JOURNAL = {J. Geom.},
FJOURNAL = {Journal of Geometry},
VOLUME = {62},
YEAR = {1998},
NUMBER = {1-2},
PAGES = {48--65},
ISSN = {0047-2468},
CODEN = {JGMAY3},
}
@incollection{df-lc-90
, author = "M. Deza and K. Fukuda"
, title = "Loops of clutters"
, editor = "D.K. Ray-Chaudhuri"
, booktitle = "Coding Theory and Design Theory, Part I Coding Theory"
, series = "The IMA Volumes in Mathematics and Its Applications"
, volume = 20
, publisher = "Springer-Verlag"
, year = 1990
, pages = "72--101"
, keywords = "clutters, matroids"
}
@ARTICLE{df-mclbg-94,
AUTHOR = {A. Deza and K. Fukuda},
TITLE = {{M}c{M}ullen's conditions and some lower bounds for general convex polytopes},
JOURNAL = {Geometriae Dedicata},
YEAR = 1994,
VOLUME = 53,
PAGES = {165--173}
}
@article{dfl-ic-93
, author = "M. Deza and K. Fukuda and M. Laurent"
, title = "The inequicut cone"
, journal = "Discrete Mathematics"
, volume = 119
, year = 1993
, pages = "21--48"
, keywords = "cut cone, polyheda, facets"
}
@incollection{dfmv-oflmp-03
, author = "A. Deza and K. Fukuda and T. Mizutani and C. Vo"
, title = "On the face lattice of the metric polytope"
, editor = "J. Akiyama and M. Kano and M. Urabe"
, booktitle = "Lecture Notes in Computer Science"
, volume = ""
, publisher = "Springer-Verlag"
, year = 2003
, pages = ""
}
@inproceedings{dfps-gvws-00
, author = "A. Deza and K. Fukuda and D. Pasechnik and M. Sato"
, title = "Generating vertices with symmetries"
, booktitle = "Proc. 5th Workshop on Algorithms and Computation, Tokyo"
, year = 2000
, pages = "1--8"
}
@techreport{dfps-osmp-00
, author = "A. Deza and K. Fukuda and D. Pasechnik and M. Sato"
, title = "On the skeleton of the metric polytope"
, type = "Technical Report B-367"
, institution = "Dept. of Math. and Comp. Sci., Tokyo Institute of Technology"
, year = 2000
, note = {appeared in {L}ecture {N}otes in {C}omputer {S}cience}
}
@incollection{dfps-osmp-01
, author = "A. Deza and K. Fukuda and D. Pasechnik and M. Sato"
, title = "On the skeleton of the metric polytope"
, editor = "J. Akiyama and M. Kano and M. Urabe"
, booktitle = "Lecture Notes in Computer Science"
, volume = 2098
, publisher = "Springer-Verlag"
, year = 2001
, pages = "125--136"
}
@article{dfr-wtcep-94,
AUTHOR = {Deza, A. and Fukuda, K. and Rosta, V.},
TITLE = {Wagner's theorem and combinatorial enumeration of
$3$-polytopes},
NOTE = {Computational geometry and discrete geometry (Japanese) (Kyoto,
1993)},
JOURNAL = {S\=urikaisekikenky\=usho K\=oky\=uroku},
FJOURNAL = {S\=urikaisekikenky\=usho K\=oky\=uroku},
NUMBER = {872},
YEAR = {1994},
PAGES = {30--34}
}
@mastersthesis{f-aplcp-76
, author = "K. Fukuda"
, title = "Abstract polytopes and the linear complementarity problem"
, type = "M.{Sc}. Thesis"
, school = "Keio Univ."
, address = "Yokohama, Japan"
, year = 1976
, keywords = "master thesis"
}
@misc{f-capgm-00,
author = {K. Fukuda},
title = {Lecture Notes: A Constructive Approach to Polyhedral Geometry and Mathematical Programming},
year = 2000,
howpublished = {Institute for Mathematical Research, ETH, Zurich, Switzerland},
note = {\url{https://people.inf.ethz.ch/fukudak/Doc_pub/}}
}
@misc{f-capgm-95,
AUTHOR = {K. Fukuda},
TITLE = {Lecture Notes: A Constructive Approach to Polyhedral Geometry and Mathematical Programming},
YEAR = 1995,
HOWPUBLISHED = {Institute for Operations Research, ETH, Zurich, Switzerland},
annote = {\url{https://people.inf.ethz.ch/fukudak/Doc_pub/}}
}
@article{f-ccp-00,
AUTHOR = {Fukuda, K.},
TITLE = {Combinatorics of Convex Polytopes (in {J}apanese)},
SERIES = {Open Problems in Mathematics for the $21$st Century},
JOURNAL = {S\=urikagaku},
NUMBER = {442},
PAGES = {46--55},
YEAR = {April 2000}
}
@manual{f-cdd-93
, author = "K. Fukuda"
, title = "cdd.c : C-implementation of the double description method for computing all vertices and extremal rays of a convex polyhedron given by a system of linear inequalities"
, organization = "Department of Mathematics, Swiss Federal Institute
of Technology"
, address = "Lausanne, Switzerland"
, year = 1993
, annote = {{C}-implementation of a classical algorithm due to Motzkin et. al that is particularly powerful for generating all vertices of a combinatorial polyhedron. This program was first created while the author was invited by {D}epartment of {M}athematics, EPFL, Switzerland. The program is known to be one of the most efficient codes for vertex enumeration and convex hull computation, and publicly available.}
}
@manual{f-cddhome-04
, author = "K. Fukuda"
, title = "cdd, cddplus and cddlib homepage"
, organization = "Swiss Federal Institute of Technology, Lausanne and Zurich"
, year = 2004
}
@manual{f-cddhome
, author = "K. Fukuda"
, title = "cdd, cddplus and cddlib homepage"
, organization = "Swiss Federal Institute of Technology, Zurich"
, note = " \url{http://www.inf.ethz.ch/personal/fukudak/cdd_home/index.html}"
}
@manual{f-cddlib-00
, author = "K. Fukuda"
, title = "cddlib reference manual, cddlib Version 091"
, organization = "Swiss Federal Institute of Technology"
, address = "Lausanne and Zurich, Switzerland"
, year = 2000
, note = "\url{http://www.inf.ethz.ch/personal/fukudak/cdd\_home/cdd.html}"
}
@manual{f-cddlib-01
, author = "K. Fukuda"
, title = "cddlib reference manual, cddlib Version 092a"
, organization = "McGill University"
, address = "Montreal, Canada"
, year = 2001
, note = "\url{http://www.cs.mcgill.ca/~fukuda/soft/cdd_home/cdd.html}"
}
@manual{f-cddlib-03
, author = "K. Fukuda"
, title = "cddlib reference manual, cddlib Version 093"
, organization = "McGill University"
, address = "Montreal, Canada"
, year = 2003
, note = "\url{http://www.cs.mcgill.ca/~fukuda/soft/cdd_home/cdd.html}"
}
@manual{f-cddlib-99
, author = "K. Fukuda"
, title = "cddlib reference manual, cddlib Version 085"
, organization = "Swiss Federal Institute of Technology"
, address = "Lausanne and Zurich, Switzerland"
, year = 1999
, note = "\url{https://people.inf.ethz.ch/fukudak/cdd_home/Cddtarfiles_pub/}"
}
@manual{f-cddp-95
, author = "K. Fukuda"
, title = "cdd+ reference manual"
, organization = "Institute for Operations Research, Swiss Federal Institute of Technology"
, address = "Zurich, Switzerland"
, year = 1995
, note = "\url{https://people.inf.ethz.ch/fukudak/cdd_home/Cddtarfiles_pub/}"
}
@manual{f-cddp-97
, author = "K. Fukuda"
, title = "cdd/cdd+ reference manual, Version 061/Version 0.75"
, organization = "Institute for Operations Research, Swiss Federal Institute of Technology"
, address = "Lausanne and Zurich, Switzerland"
, month = "December"
, year = 1997
, note = "\url{https://people.inf.ethz.ch/fukudak/cdd_home/Cddtarfiles_pub/}"
}
@manual{f-cddp-98
, author = "K. Fukuda"
, title = "cdd/cdd+ reference manual, Version 061a/Version 0.75a"
, organization = "Institute for Operations Research, Swiss Federal Institute of Technology"
, address = "Lausanne and Zurich, Switzerland"
, year = 1998
, note = "\url{https://people.inf.ethz.ch/fukudak/cdd_home/Cddtarfiles_pub/}"
}
@manual{f-cddp-99
, author = "K. Fukuda"
, title = "cdd/cdd+ reference manual, Version 061a/Version 0.76a"
, organization = "Institute for Operations Research, Swiss Federal Institute of Technology"
, address = "Lausanne and Zurich, Switzerland"
, note = "\url{https://people.inf.ethz.ch/fukudak/cdd_home/Cddtarfiles_pub/}"
}
@misc{f-ceehl-96,
AUTHOR = {K. Fukuda},
TITLE = {Complexity of enumeration - Evaluating the hardness of listing objects},
YEAR = 1996,
HOWPUBLISHED = {presented at ETH Zurich, May 1996, also at International Symposium on Math. Programming 1997},
note = "\url{https://people.inf.ethz.ch/fukudak/Doc_pub/ENP_note.pdf}"
}
@techreport{f-epafa-83
, author = "K. Fukuda"
, title = "An efficient pivot algorithm for finding all edges and vertices of convex polytopes: 3-dimensional case"
, type = "Research Report"
, number = "B-131"
, institution = "Dept. of Information Sciences, Tokyo Institute of Technology"
, address = "Tokyo, Japan"
, year = 1983
}
@techreport{f-epafa-84
, author = "K. Fukuda"
, title = "An efficient pivot algorithm for finding all edges and vertices of convex polytopes: Shelling Algorithm"
, type = "Research Report"
, number = "B-146"
, institution = "Dept. of Information Sciences, Tokyo Institute of Technology"
, address = "Tokyo, Japan"
, year = 1984
}
@techreport{f-fzctmacp-03
, author = "K. Fukuda"
, title = "From the zonotope construction to the {M}inkowski addition of convex polytopes"
, type = "Preprint"
, institution = "School of Computer Science, McGill University"
, year = "2003"
, keywords = "Minkowski sum, zonotopes, polytopes, Groebner basis"
}
@article{f-fzctmacp-04
, author = "K. Fukuda"
, title = "From the zonotope construction to the {M}inkowski addition of convex polytopes"
, journal = "Journal of Symbolic Computation"
, year = 2004
, volume = 38
, number = 4
, pages = "1261--1272"
, note = "\url{http://www.cs.mcgill.ca/~fukuda/download/paper/minksum031007jsc.pdf}"
, keywords = "Minkowski sum, zonotopes, polytopes, Groebner basis"
}
@misc{f-kfhome
, author = "K. Fukuda"
, title = "{Komei Fukuda's Homepage}, {ETH Zurich}, {Switzerland}"
, type = "on line document"
, institution = "Department of Mathematics and Institute of Theoretical Computer Science"
, note = " \url{https://people.inf.ethz.ch/fukudak/}"
}
@techreport{f-lncc-99
, author = "K. Fukuda"
, title = "Lecture notes: Computational Combinatorics"
, institution = "Department of Mathematics, Swiss Federal Institute of Technology"
, address = "Zurich"
, year = 1999
}
@techreport{f-lncmp-93
, author = "K. Fukuda"
, title = "Lecture notes: combinatorics of mathematical programming and polyhedral geometry"
, institution = "Department of Mathematics, Swiss Federal Institute of Technology"
, address = "Lausanne"
, year = 1983
}
@techreport{f-lnomgc-04
, author = "K. Fukuda"
, title = "Lecture notes on oriented matroids and geometric computation"
, institution = "Swiss Federal Institute of Technology"
, address = "Lausanne and Zurich"
, year = 2004
}
@inproceedings{f-omlp-86
, author = "K. Fukuda"
, title = "Oriented matroids and linear programming (in {J}apanese)"
, booktitle = "Proceedings of the 15th Symposium of the Operations Research Society of Japan"
, year = 1986
, pages = "8--14"
, keywords = "oriented matroids, linear programming, survey"
}
@article{f-omlp-87
, author = "K. Fukuda"
, title = "Oriented matroids and linear programming (in {J}apanese)"
, journal = "Communications of the Operations Research Society of Japan"
, number = 1
, year = 1987
, pages = "5--13"
, keywords = "linear programming, oriented matroid"
}
@phdthesis{f-omp-82
, author = "K. Fukuda"
, title = "Oriented matroid programming"
, type = "Ph.{D}. Thesis"
, school = "Univ. of Waterloo"
, address = "Waterloo, Canada"
, year = 1982
, keywords = "doctoral thesis"
, note = "\url{https://people.inf.ethz.ch/fukudak/publ/publ.html}"
}
@misc{f-pcfaq
, author = "K. Fukuda"
, title = "Polyhedral computation {FAQ}"
, type = "on line document"
, institution = "ETHZ"
, date = "June 18"
, year = "2004"
, keywords = "polytopes, voronoi diagrams, delaunay triangulation, computation"
, note = "\url{http://www.inf.ethz.ch/personal/fukudak/fukuda.html}"
}
@techreport{f-pdmbwm-04
, author = "K. Fukuda"
, title = "Polytope drawing and model building with Mathematica and external tools (poly\_cddml.nb and poly\_cddmlgmp.nb)"
, type = "Mathematica notebook"
, institution = "Swiss Federal Institute of Technology, Lausanne and Zurich"
, date = "June "
, year = "2004"
, note = "\url{http://www.cs.mcgill.ca/~fukuda/download/mathematica/Polyhedra/}"
}
@techreport{f-dabp-04
, author = "K. Fukuda"
, title = "Drawing and Building Polytopes"
, type = "Technical Notes"
, institution = "Swiss Federal Institute of Technology, Lausanne and Zurich"
, date = "July"
, year = "2004"
, note = "\url{http://www.cs.mcgill.ca/~fukuda/download/mathematica/Polyhedra/}"
}
@techreport{f-pocofaq
, author = "K. Fukuda"
, title = "Polyhedral computation {FAQ}"
, type = "on line document"
, institution = "Swiss Federal Institute of Technology, Zurich, Switzerland"
, year = "June 2004"
, note = "\url{http://www.inf.ethz.ch/personal/fukudak/polyfaq/polyfaq.html}"
}
@incollection{f-rsa-93
, author = "K. Fukuda"
, title = "Reverse search with applications (in {J}apanese)"
, editor = "S. Fujishige"
, booktitle = "Discrete Structures and Algorithms II"
, publisher = "Kindaikagaku-sha"
, year = 1993
, sortkey = "0057"
, pages = "47--78"
, keywords = "enumeration, exhaustive search"
}