数学
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Spectral extremal results for triangle-free graphs with chromatic number at least four
作者Yinfen Zhu; Huiqiu Lin
作者单位School of Mathematics, East China University of Science and Technology, Shanghai 200237, China; School of Mathematics and Physics, Xinjiang Institute of Engineering, Urumqi, Xinjiang 830023, China
A closure for 2-hamiltonicity in claw-free graphs
作者Zdeněk Ryjáček; Petr Vrána; Liming Xiong
作者单位Department of Mathematics; European Centre of Excellence NTIS - New Technologies for the Information Society, University of West Bohemia, Univerzitní 8, 301 00 Pilsen, Czech Republic; School of Mathematics and Statistics, Beijing Key Laboratory on MCAACI, Beijing Institute of Technology, Beijing 100081, PR China; School of Education, Lanzhou University of Arts and Science, Lanzhou, Gansu, 730000, PR China
Bijections and congruences involving lattice paths and integer compositions
作者Manosij Ghosh Dastidar; Michael Wallner
作者单位TU Wien, Institute of Discrete Mathematics and Geometry, Wiedner Hauptstr. 8–10, 1040 Vienna, Austria; TU Graz, Institute of Discrete Mathematics, Steyrergasse 30, 8010 Graz, Austria
Feedback vertex sets of digraphs with bounded maximum degree
作者Jiangdong Ai; Gregory Gutin; Xiangzhou Liu; Anders Yeo; Yacong Zhou
作者单位School of Mathematical Sciences and LPMC, Nankai University, China; Department of Computer Science, Royal Holloway University of London, United Kingdom; Department of Mathematics and Computer Science, University of Southern Denmark, Denmark; Department of Mathematics, University of Johannesburg, South Africa; Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences, China
Some bounds for the vertex chromatic number and harmonic index of a graph
作者S. Akbari; A. Beikmohammadi; L. Goddyn
作者单位Department of Mathematical Science, Sharif University of Technology, Iran; Department of Computer Science, Simon Fraser University, Canada; Department of Mathematics, Simon Fraser University, Canada
On the spectral radius, size and rainbow Hamiltonicity of split graphs
作者Shujing Miao; Shuchao Li
作者单位School of Mathematics and Statistics, and Hunan First Normal University, Changsha 410205, China; School of Mathematics and Statistics, and Hubei Key Lab–Math. Sci., Central China Normal University, Wuhan 430079, China; Key Laboratory of Nonlinear Analysis & Applications (Ministry of Education), Central China Normal University, Wuhan 430079, China
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