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Super edge-connectivity of mixed Cayley graph
Authors:Jinyang Chen  Jixiang Meng
Institution:a College of Mathematics and Econometrics, Hunan University, Changsha, 410082, People’s Republic of China
b College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, People’s Republic of China
Abstract:A graph X is max-λ if λ(X)=δ(X). A graph X is super-λ if X is max-λ and every minimum edge-cut set of X isolates one vertex. In this paper, we proved that for all but a few exceptions, the mixed Cayley graph which is defined as a new kind of semi-regular graph is max-λ and super-λ.
Keywords:Maximal edge-connectivity  Super edge-connectivity  Mixed Cayley graphs
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