Combinatorics

[1] Witten-Morse functions and Morse inequalities on digraphs

Yong Lin Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, China Chong Wang School of Mathematics, Renmin University of China, Beijing 100872, China; School of Mathematics and Statistics, Cangzhou Normal University, 061000 China

Combinatorics Algebraic Topology and General Topology mathscidoc:2207.06006

arXiv, 2021.8
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[2] The adjoint braid arrangement as a combinatorial Lie algebra via the Steinmann relations

Zhengwei Liu William Norledge Adrian Ocneanu

Combinatorics mathscidoc:2207.06005

2022.1
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[3] Discrete Morse Theory on Digraphs

Yong Lin Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, China Chong Wang School of Mathematics, Renmin University of China, Beijing 100872, China; School of Mathematics and Statistics, Cangzhou Normal University, 061000 China Shing-Tung Yau Department of Mathematics, Harvard University, Cambridge MA 02138, USA

Combinatorics Algebraic Topology and General Topology mathscidoc:2207.06004

Pure and Applied Mathematics Quarterly
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[4] Calculus of variations on locally finite graphs

Yong Lin Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China Yunyan Yang Department of Mathematics, Renmin University of China, Beijing, 100872, China

Analysis of PDEs Combinatorics mathscidoc:2207.03009

Revista Matemática Complutense, 2021.9
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[5] A heat flow for the mean field equation on a finite graph

Yong Lin Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, People’s Republic of China Yunyan Yang Department of Mathematics, Renmin University of China, Beijing, 100872, People’s Republic of China

Analysis of PDEs Combinatorics mathscidoc:2207.03008

Calculus of Variations and Partial Differential Equations, 60, (206), 2021.8
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[6] Equivalent Properties for CD Inequalities on Graphs with Unbounded Laplacians

Chao Gong School of Information, Renmin University of China, Beijing 100872, China Yong Lin 1School of Information, Renmin University of China, Beijing 100872, China.

Combinatorics Differential Geometry mathscidoc:2207.06003

Chinese Annals of Mathematics, Series B, 38, 1059–1070, 2017.9
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[7] On-diagonal lower estimate of heat kernels on graphs

Yong Lin Department of Mathematics, Renmin University of China, Beijing 100872, PR China Yiting Wu Department of Mathematics, Renmin University of China, Beijing 100872, PR China

Analysis of PDEs Combinatorics mathscidoc:2207.03003

Journal of Mathematical Analysis and Applications, 456, (2), 1040-1048, 2017.12
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[8] Quantum tunneling on graphs

Yong Lin Department of Mathematics, Information School, Renmin University of China, Beijing, People’s Republic of China Gábor Lippner Department of Mathematics, Harvard University, Cambridge, MA, 02138, USA Shing-Tung Yau Department of Mathematics, Harvard University, Cambridge, MA, 02138, USA

Combinatorics Mathematical Physics mathscidoc:2207.06002

Communications in Mathematical Physics, 311, 113–132, 2012.2
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[9] Ricci curvature of graphs

Yong Lin Renmin University, Department of Mathematics, Beijing 100872, China Linyuan Lu University of South Carolina, Department of Mathematics, Columbia, SC 29208, USA Shing-Tung Yau Harvard University, Department of Mathematics, Cambridge, MA 02138, USA

Combinatorics mathscidoc:2207.06001

Tohoku Mathematical Journal, 63, (4), 605-627, 2011.10
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[10] C-sortable words as green mutation sequences

Yu Qiu Institutt for Matematiske Fag, NTNU, 7491 Trondheim, Norway

Combinatorics mathscidoc:2206.06001

Proceedings of the London Mathematical Society, 111, (5), 1052-1070, 2015.11
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[11] Cluster combinatorics of d-cluster categories

Yu Zhou Department of Mathematical Sciences, Tsinghua University, 100084 Beijing, PR China Bin Zhu Department of Mathematical Sciences, Tsinghua University, 100084 Beijing, PR China

Combinatorics Representation Theory mathscidoc:2204.06004

Journal of Algebra, 321, (10), 2898-2915, 2009.5
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[12] Cluster algebras arising from cluster tubes

Yu Zhou Department of Mathematical Sciences, Tsinghua University, 100084, Beijing, China, Current address:, Fakultät für Mathematik, Universität Bielefeld, D-33501, Bielefeld, Germany Bin Zhu Department of Mathematical Sciences, Tsinghua University, 100084, Beijing, China, bzhu@math.tsinghua.edu.cn

Combinatorics Representation Theory Rings and Algebras mathscidoc:2204.06003

Journal of the London Mathematical Society, 89, (3), 703-723, 2014.6
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[13] Mutation of Torsion Pairs in Triangulated Categories and its Geometric Realization

Yu Zhou Department of Mathematical Sciences, Tsinghua University, 100084, Beijing, China Bin Zhu Department of Mathematical Sciences, Tsinghua University, 100084, Beijing, China

Combinatorics Representation Theory Rings and Algebras mathscidoc:2204.06002

Algebra and Representation Theory, 21, 817-832, 2017.10
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[14] Cotorsion pairs in cluster categories of type A^\infty_\infty

Huimin Chang Department of Applied Mathematics, School of Education, The Open University of China, 100039 Beijing, China Yu Zhou Yau Mathematical Sciences Center, Tsinghua University, 100084 Beijing, China Bin Zhu Department of Mathematical Sciences, Tsinghua University, 100084 Beijing, China

Combinatorics Representation Theory mathscidoc:2204.06001

Journal of Combinatorial Theory, Series A, 156, 119-141, 2018.5
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[15] Spectral radius of {0,1}-tensor with prescribed number of ones

Shuliang Bai University of South Carolina, Columbia, SC 29208, United States of America Liuyuan Lu University of South Carolina, Columbia, SC 29208, United States of America

Combinatorics mathscidoc:2203.06005

Linear Algebra and its Applications, 558, 205-235, 2018.12
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[16] Rigidity of the Bonnet-Myers inequality for graphs with respect to Ollivier Ricci curvature

D. Cushing Department of Mathematical Sciences, Durham University, United Kingdom of Great Britain and Northern Ireland S. Kamtue Department of Mathematical Sciences, Durham University, United Kingdom of Great Britain and Northern Ireland J. Koolen School of Mathematical Sciences, University of Science and Technology of China, and Wu Wen-Tsun Key Laboratory of Mathematics of CAS, Hefei, China S. Liu School of Mathematical Sciences, University of Science and Technology of China, and Wu Wen-Tsun Key Laboratory of Mathematics of CAS, Hefei, China F. Münch nstitute of Mathematics, Universität Potsdam, Germany N. Peyerimhoff Department of Mathematical Sciences, Durham University, United Kingdom of Great Britain and Northern Ireland

Combinatorics Differential Geometry mathscidoc:2203.06004

Advances in Mathematics, 369, 107188, 2020.8
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[17] The set of vertices with positive curvature in a planar graph with nonnegative curvature

Bobo Hua School of Mathematical Sciences, LMNS, Fudan University, Shanghai 200433, China; Shanghai Center for Mathematical Sciences, Fudan University, Shanghai 200433, China Yanhui Su College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350116, China

Combinatorics Differential Geometry mathscidoc:2203.06003

Advances in Mathematics, 343, 789-820, 2019.2
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[18] Equiangular lines with a fixed angle

Zilin Jiang Arizona State University, Tempe AZ 85287 Jonathan Tidor Massachusetts Institute of Technology, Cambridge MA 02141 Yuan Yao Massachusetts Institute of Technology, Cambridge MA 02141 Shengtong Zhang Massachusetts Institute of Technology, Cambridge MA 02141 Yufei Zhao Massachusetts Institute of Technology, Cambridge MA 02141

Combinatorics Metric Geometry mathscidoc:2203.06002

Annals of Mathematics, 194, (3), 729-743, 2021.1
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[19] Small cancellation labellings of some infinite graphs and applications

Damian Osajda Instytut Matematyczny, Uniwersytet Wrocławski, Wrocław, Poland; and Fakultät für Mathematik, Universität Wien, Austria

Combinatorics Functional Analysis Group Theory and Lie Theory mathscidoc:2203.06001

Acta Mathematica, 225, (1), 159-191, 2020.11
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[20] An old problem of Erd\H os: a graph without two cycles of the same length

Lai Chunhui Minnan Normal University

Combinatorics mathscidoc:2110.06001

arXiv:2110.04696, 2021.10
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[21] Some extremal problems on graph theory

Lai Chunhui Minnan Normal University

Combinatorics mathscidoc:2108.06001

The 22nd Conference of the International Federation of Operational Research Societies, 2021.8
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[22] The Kelmans-Seymour conjecture I: Special separations

Dawei He School of Mathematics, Georgia Institute of Technology, Atlanta Yan Wang School of Mathematics, Georgia Institute of Technology, Atlanta Xingxing Yu School of Mathematics, Georgia Institute of Technology, Atlanta

Combinatorics mathscidoc:2105.41004

2019.4
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[23] The Kelmans-Seymour conjecture III: 3-vertices in K− 4

Dawei He School of Mathematics, Georgia Institute of Technology, Atlanta Yan Wang School of Mathematics, Georgia Institute of Technology, Atlanta Xingxing Yu School of Mathematics, Georgia Institute of Technology, Atlanta

Combinatorics mathscidoc:2105.41003

2019.6
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[24] The Kelmans-Seymour conjecture IV: A proof

Dawei He School of Mathematics, Georgia Institute of Technology, Atlanta Yan Wang School of Mathematics, Georgia Institute of Technology, Atlanta Xingxing Yu School of Mathematics, Georgia Institute of Technology, Atlanta

Combinatorics mathscidoc:2105.41002

2019.5
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[25] The Kelmans-Seymour conjecture II: 2-Vertices in K− 4

Dawei He School of Mathematics, Georgia Institute of Technology, Atlanta Yan Wang School of Mathematics, Georgia Institute of Technology, Atlanta Xingxing Yu School of Mathematics, Georgia Institute of Technology, Atlanta

Combinatorics mathscidoc:2105.41001

2019.8
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