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30 papers · 2 filters
Graphs with -rainbow index and
Xueliang Li, Ingo Schiermeyer, Kang Yang +1
Let be a nontrivial connected graph with an edge-coloring , where adjacent edges may be colored the same. A tree in $…
Characterize graphs with rainbow connection number and
Xueliang Li, Yuefang Sun, Yan Zhao
A path in an edge-colored graph, where adjacent edges may be colored the same, is a rainbow path if no two edges of it are colored the same. A nontrivial connected graph is rai…
A Class of Kazhdan-Lusztig R-Polynomials and q-Fibonacci Numbers
William Y. C. Chen, Neil J. Y. Fan, Peter L. Guo +1
Let denote the symmetric group on . For two permutations such that in the Bruhat order, let and denote th…
k-Marked Dyson Symbols and Congruences for Moments of Cranks
William Y. C. Chen, Kathy Q. Ji, Erin Y. Y. Shen
By introducing -marked Durfee symbols, Andrews found a combinatorial interpretation of -th symmetrized moment of ranks of partitions of . Recently, Garvan int…
A Turán-type problem on distance two
Xueliang Li, Jing Ma, Yongtang Shi +1
A new turán-type problem on distances on graphs was introduced by Tyomkyn and Uzzell. In this paper, we focus on the case that the distance is two. We primely show that for any val…
Non-jumping Numbers for 5-Uniform Hypergraphs
Ran Gu, Xueliang Li, Zhongmei Qin +2
Let and be integers. A real number is a jump for if for any and any integer , any -uniform graph with $n > n_0(\varep…