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Fractional matching preclusion number of graphs
Jinyu Zou, Yaping Mao, Zhao Wang +1
The \emph{fractional matching preclusion number} of a graph , denoted by , is the minimum number of edges whose deletion results in a graph that has no fractional perfec…
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…
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…
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…
The Steiner (n-3)-diameter of a graph
Yaping Mao, Christopher Melekian, Eddie Cheng
The Steiner distance of a graph, introduced by Chartrand, Oellermann, Tian and Zou in 1989, is a natural generalization of the concept of classical graph distance. For a connected…