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math.CO2018
Matching preclusion number of graphs
Zhao Wang, Yaping Mao, Eddie Cheng +1
The \emph{matching preclusion number} of a graph , denoted by $\mpo(G)$, is the minimum number of edges whose deletion results in a graph that has neither perfect matchings nor…
math.CO2018
Minimum degree and size conditions for the proper connection number of graphs
Xiaxia Guan, Lina Xue, Eddie Cheng +1
An edge-coloured graph is called if every two vertices are connected by a proper path. The of a connected graph , denot…
math.CO2018
Two kinds of generalized connectivity of dual cubes
Shu-Li Zhao, Rong-Xia Hao, Eddie Cheng
Let and denote the maximum number of edge-disjoint trees in such that for any $i, j…