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math.CO2023
The degree threshold for covering with all the connected -graphs with edges
Yue Ma, Xinmin Hou, Zhi Yin
Given two -uniform hypergraphs and , we say that has an -covering if every vertex in is contained in a copy of . Let be the least integer such…
math.CO2023
Graphs without rainbow cliques of orders four and five
Yue Ma, Xinmin Hou
Let be a multiset of graphs on vertex set and let be a fixed graph with edge set and . We sa…
math.CO2023
Spectral extrema of graphs with bounded clique number and matching number
Hongyu Wang, Xinmin Hou, Yue Ma
For a set of graphs , let $\ex(n,\mathcal{F})$ and $\spex(n,\mathcal{F})$ denote the maximum number of edges and the maximum spectral radius of an -vertex $\mathcal…
math.CO2023
Generalized Turán problem with bounded matching number
Yue Ma, Xinmin Hou
For a graph and a set of graphs , let $\mbox{ex}(n,T,\mathcal{H})$ denote the maximum number of copies of in an -vertex -free graph. Recently,…