Research Areas
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Natural Science / Basic mathematics
Graduating School
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The University of Tokyo, Faculty of Liberal Arts
1992.03, Graduated
Graduate School
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The University of Tokyo, Graduate School, Division of General Culture, Systems Science, General Systems Studies, Department of Graphics and Computer Sciences
Master's Course, 1994.03, Completed
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The University of Tokyo, Graduate School, Division of General Culture, Systems Science, General Systems Studies, Department of Graphics and Computer Sciences
Doctor's Course, 1997.03, Completed
External Career
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Department of Advanced Social and International Studies, Graduate School of Arts and Sciences, The University of Tokyo, Research Assistant, 2000.05 - 2005.03
Academic Society Affiliations
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The Operations Research Society of Japan
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The Mathematical Society of Japan
Papers
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Universal graph series, chromatic functions, and their index theory, Journal of the Mathematical Society of Japan, 2025.04
Tsuyoshi Miezaki, Akihiro Munemasa, Yusaku Nishimura, Tadashi Sakuma, Shuhei Tsujie
Multiple Authorship (Only Japanese)
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On the average hitting times of the squares of cycles, Discrete Applied Mathematics, 313 18-28, 2022.05
Yoshiaki Doi, Norio Konno, Tomoki Nakamigawa, Tadashi Sakuma, Etsuo Segawa, Hidehiro Shinohara, Shunya Tamura, Yuuho Tanaka, Kosuke Toyota
Multiple Authorship (Only Japanese)
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Tutte polynomial, complete invariant, and theta series, Graphs and Combinatorics, 37 1545-1558, 2021.10
Misaki Kume, Tsuyoshi Miezaki, Tadashi Sakuma, Hidehiro Shinohara
Multiple Authorship (Only Japanese)
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Pebble exchange group of graphs, European Journal of Combinatorics, 95(103325) , 2021.06
Tatsuoki Kato, Tomoki Nakamigawa, Tadashi Sakuma
Multiple Authorship (Only Japanese)
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Stable structure on safe set problems in vertex-weighted graphs, European Journal of Combinatorics, 91 , 2021.01
Shinya Fujita, Boram Park, Tadashi Sakuma
Multiple Authorship (Including Foreigners)
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Stable Structure on Safe Set Problems in Vertex-weighted Graphs II -- Recognition and Complexity -- (In: Graph-Theoretic Concepts in Computer Science: 46th International Workshop, WG 2020, Leeds, UK, June 24–26, 2020, Revised Selected Papers), Lecture Notes in Computer Science, 12301 364-375, 2020.10
Shinya Fujita, Boram Park and Tadashi Sakuma
Multiple Authorship (Including Foreigners)
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Convex grabbing game of the point set on the plane, Graphs and Combinatorics, 36(1) 51-62, 2020.01
Naoki Matsumoto, Tomoki Nakamigawa, Tadashi Sakuma
Multiple Authorship (Only Japanese)
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A generalization of the Tutte polynomials, Proceedings of the Japan Academy, Ser. A Mathematical Sciences, 95(10) 111-113, 2019.11
Tsuyoshi MIEZAKI, Manabu OURA, Tadashi SAKUMA, Hidehiro SHINOHARA
Multiple Authorship (Only Japanese)
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On the weighted safe set problem on paths and cycles, Journal of Combinatorial Optimization, 37(2) 685-701, 2019.02
Shinya Fujita, Tommy Jensen, Boram Park, Tadashi Sakuma
Multiple Authorship (Including Foreigners)
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On ideal minimally non-packing clutters, Mathematical Programming and Game Theory, edited by S.K. Neogy, R.B. Bapat, Dipti Dubey, Springer Research Monograph (Indian Statistical Institute Series), 67-86, 2018.11
Kenji Kashiwabara and Tadashi Sakuma
Multiple Authorship (Only Japanese)
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Safe sets in graphs: Graph classes and structural parameters, Journal of Combinatorial Optimization, 36(4) 1221-1242, 2018.11
Raquel A´ gueda, Nathann Cohen, Shinya Fujita, Sylvain Legay, Yannis Manoussakis, Yasuko Matsui, Leandro Montero, Reza Naserasr, Hirotaka Ono, Yota Otachi, Tadashi Sakuma, Zsolt Tuza, Renyu Xu
Multiple Authorship (Including Foreigners)
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The Expansion of a Chord Diagram and the Tutte Polynomial, Discrete Mathematics, 341 1573-1581, 2018.06
Tomoki Nakamigawa, Tadashi Sakuma
Multiple Authorship (Only Japanese)
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Safe Sets, Network Majority on Weighted Trees, Networks, 71(1) 81-92, 2018.01
Ravindra B. Bapat, Shinya Fujita, Sylvain Legay, Yannis Manoussakis, Yasuko Matsui, Tadashi Sakuma, Zsolt Tuza
Multiple Authorship (Including Foreigners)
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The Expansion of a Chord Diagram and the Tutte Polynomial (Proceedings of European Conference on Combinatorics, Graph Theory and Applications 2017), Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics, 61C 917-923, 2017.08
Tomoki Nakamigawa, Tadashi Sakuma
Multiple Authorship (Only Japanese)
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Safe set problem on graphs, Discrete Applied Mathematics, 215 106-111, 2016.12
Shinya Fujita, Gary MacGillivray, Tadashi Sakuma
Multiple Authorship (Including Foreigners)
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Network Majority on Tree Topological Network, Electronic Notes in Discrete Mathematics, 54 79-84, 2016.10
Ravindra B. Bapat, Shinya Fujita, Sylvain Legay, Yannis Manoussakis, Yasuko Matsui, Tadashi Sakuma, Zsolt Tuza
Multiple Authorship (Including Foreigners)
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Safe Sets in Graphs: Graph Classes and Structural Parameters, Lecture Notes in Computer Science, 10043 241-253, 2016.10
Raquel Águeda, Nathann Cohen, Shinya Fujita, Sylvain Legay, Yannis Manoussakis, Yasuko Matsui, Leandro Montero, Reza Naserasr, Yota Otachi, Tadashi Sakuma, Zsolt Tuza, Renyu Xu
Multiple Authorship (Including Foreigners)
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On the Balanced Decomposition Number, Graphs and Combinatorics, 31(6) 2377-2380, 2015.11
Tadashi SAKUMA
Single Author
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Pebble exchange on graphs, Discrete Applied Mathematics, 184(31) 139-145, 2015.03
Shinya Fujita, Tomoki Nakamigawa, Tadashi Sakuma
Multiple Authorship (Only Japanese)
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On circulant thin Lehman matrices, Journal of Algebraic Combinatorics, 40(4) 939-959, 2014.12
Tadashi Sakuma, Hidehiro Shinohara
Multiple Authorship (Only Japanese)
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Minimum degree conditions for vertex-disjoint even cycles in large graphs, Advances in Applied Mathematics, 54 105-120, 2014.03
Shuya Chiba, Shinya Fujita, Ken-ichi Kawarabayashi, Tadashi Sakuma
Multiple Authorship (Only Japanese)
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Krasner near-factorizations and 1-overlapped factorizations, The Seventh European Conference on Combinatorics, Graph Theory and Applications, EuroComb 2013, edited by Jaroslav Nešetril and Marco Pellegrini (Publications of the Scuola Normale Superiore/CRM Series, Vol.16, Springer Verlag), 391-395, 2013.10
Tadashi SAKUMA, Hidehiro SHINOHARA
Multiple Authorship (Only Japanese)
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Colored Pebble Motion on Graphs, European Journal of Combinatorics, 33(5) 884-892, 2012.07
Shinya Fujita, Tomoki Nakamigawa, Tadashi Sakuma
Multiple Authorship (Only Japanese)
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On circulant thin Lehman matrices (Proceedings of The Sixth European Conference on Combinatorics, Graph Theory and Applications, EuroComb 2011), Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics, 38(1) 783-788, 2011.12
Tadashi Sakuma, Hidehiro Shinohara
Multiple Authorship (Only Japanese)
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N-flips in even triangulations on the torus and Dehn twists preserving monodromies, Discrete Mathematics, 311(13) 1128-1135, 2011.07
Yusuke Higuchi, Atsuhiro Nakamoto, Katsuhiro Ota, Tadashi Sakuma
Multiple Authorship (Only Japanese)
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The positive circuits of oriented matroids with the packing property or idealness (Proceedings of ISCO 2010 - International Symposium on Combinatorial Optimization), Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics, 36(1) 287-294, 2010.08
Kenji Kashiwabara, Tadashi Sakuma
Multiple Authorship (Only Japanese)
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Disjoint Even Cycle Packing (Proceedings of European Conference on Combinatorics, Graph Theory and Applications 2009), Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics, 34(1) 113-119, 2009.08
Shuya Chiba, Shinya Fujita, Ken-ichi Kawarabayashi, Tadashi Sakuma
Multiple Authorship (Only Japanese)
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Colored Pebble Motion on Graphs (Extended Abstract) (Proceedings of European Conference on Combinatorics, Graph Theory and Applications 2009), Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics, 34(1) 185-189, 2009.08
Shinya Fujita, Tomoki Nakamigawa, Tadashi Sakuma
Multiple Authorship (Only Japanese)
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Determining the minimum rank of matroids whose basis graph is common (Proceedings of The International Conference on Topological and Geometric Graph Theory 2008), Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics, 31(1) 137-142, 2008.08
Masahiro HACHIMORI, Hiroshi KURATA, Tadashi SAKUMA
Multiple Authorship (Only Japanese)
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A group majorization ordering for Euclidean distance matrices, Linear Algebra and its Applications, 420(2-3) 586-595, 2007.01
Hiroshi Kurata and Tadashi Sakuma
Multiple Authorship (Only Japanese)
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Grinstead's Conjecture is true for graphs with a small clique number, Discrete Mathmatics, 306(19-20) 2572-2581, 2006.10
Kenji Kashiwabara and Tadashi Sakuma
Multiple Authorship (Only Japanese)
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N-Flip in Even Triangulations on the Sphere, Journal of Graph Theory, 51(3) 260-268, 2006.03
A. Nakamoto, T. Sakuma, Y. Suzuki.
Multiple Authorship (Only Japanese)
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On the Kernel-less Clique-Acyclic Orientations of Minimally Imperfect Graphs, Descrate Applied Mathematics, 115(1-3) 209-219, 2001.11
Tadashi Sakuma
Single Author
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Note on Acyclic Orientations and the Shelling Lemma, Theoretical Computer Science, 263(1-2) 9-16, 2001.07
K. Fukuda, A. Prodon and T. Sakuma.
Multiple Authorship (Including Foreigners)
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Forced Color Classes, Intersection Graphs and the Strong Perfect Graph Conjecture, Theoretical Computer Science, 235(2) 309-324, 2000.03
Tadashi Sakuma
Single Author
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On the Flip Operations of Clique-Acyclic Orientations of Graphs, Yokohama Mathematical Journal, 47 143-163, 1999.10
Y. Hiraishi, T. Sakuma
Multiple Authorship (Only Japanese)
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A counterexample to the bold conjecture, Journal of Graph Theory, 25(2) 165-168, 1997.06
Tadashi Sakuma
Single Author
Grant-in-Aid for Scientific Research
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Grant-in-Aid for Scientific Research(C),2022.04 - 2026.03
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Grant-in-Aid for Scientific Research(C),2018.04 - 2022.03
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Grant-in-Aid for Scientific Research(C),2018.04 - 2019.03
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Grant-in-Aid for Scientific Research(C),2014.04 - 2018.03,Research on similarity between blocking-type and anti-blocking-type polyhedra
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Grant-in-Aid for Scientific Research(C),2007.04 - 2011.03
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Grant-in-Aid for Young Scientists(B),2004.04 - 2007.03
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Grant-in-Aid for Young Scientists(B),2001.03 - 2003.04
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Grant-in-Aid for JSPS Fellows,1998.04 - 2000.03
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Grant-in-Aid for JSPS Fellows,1994.04 - 1997.03
Presentations
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International conference on Computational Operations Research and Algorithmic Game Theory, International presentation, 2025.01, Pebble Motion Problems, Oral presentation (invited, special)
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International Symposium on Computational Operations Research and Algorithmic Game Theory , International presentation, 2021.03, Network majority and the connected safe set problem, Oral presentation (invited, special)
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2017 Symposium on Mathematical Programming and Game Theory (2017 SMPGT), International presentation, 2017.01, Similarities and dissimilarities between the blocking and anti-blocking polyhedra, Oral presentation (invited, special)
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Mathematical Society of Japan 2016 Annual Meeting Talk Invited by Applied Mathematics Section, Domestic presentation, 2016.03, Similarities and dissimilarities between the blocking and anti-blocking polyhedra, Oral presentation (invited, special)
Recommended URL
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PERFECT PAPERS
http://users.encs.concordia.ca/~chvatal/perfect/papers.html
Here is a bibliography of selected papers on perfect graphs.
Science and Technology in General
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PERFECT PROBLEMS
http://users.encs.concordia.ca/~chvatal/perfect/problems.html
Science and Technology in General
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Perfect Graphs
http://www.aimath.org/WWN/perfectgraph/
This web page highlights some of the conjectures and open problems concerning Perfect Graphs.
Science and Technology in General
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Bold Conjecture (Wolfram MathWorld)
http://mathworld.wolfram.com/BoldConjecture.html
Bold Conjecture
A pair of vertices (x,y) of a graph G is called an omega-critical pair if omega(G+xy)>omega(G), where G+xy denotes the graph obtained by adding the edge xy to G and omega(H) is the clique number of H. The omega-critical pairs are never edges in G. A maximal stable set S of G is called a forced color class of G if S meets every omega-clique of G, and omega-critical pairs within S form a connected graph.
In 1993, G. Bacsó conjectured that if G is a uniquely omega-colorable perfect graph, then G has at least one forced color class. This conjecture is called the bold conjecture, and implies the strong perfect graph theorem. However, a counterexample of the conjecture was subsequently found by Sakuma (1997).Science and Technology in General