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Structure and substructure connectivity of alternating group graphs
Applied Mathematics and Computation ( IF 3.472 ) Pub Date : 2020-09-14 , DOI: 10.1016/j.amc.2020.125639
Xiaowang Li; Shuming Zhou; Xiangyu Ren; Xia Guo

The connectivity is an important indicator to evaluate the robustness of a network. Many works have focused on connectivity-based reliability analysis for decades. As a generalization of connectivity, H-structure connectivity and H-substructure connectivity were proposed to evaluate the robustness of networks. In this paper, we investigate the H-structure connectivity and H-substructure connectivity of alternating group graph AGn when H is isomorphic to K1,t, Pl and Ck, which are generalizations of the previous results for H ∈ {K1, K1,1, K1,2}. And we show that κ(AGn;K1,t)=κs(AGn;K1,t)=n2 (1t2n6), κ(AGn;Pl)=κs(AGn;Pl)=2n4ll/3 (1l3n7), κ(AGn;Ck)=n2k/3 and κs(AGn;Ck)=2n4kk/3 (6k3n6).

更新日期:2020-09-15

 

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