Structure and substructure connectivity of alternating group graphs

Xiaowang Li, Shuming Zhou, Xiangyu Ren and Xia Guo

Applied Mathematics and Computation, 2021, vol. 391, issue C

Abstract: 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)=n−2 (1≤t≤2n−6),κ(AGn;Pl)=κs(AGn;Pl)=⌈2n−4l−⌊l/3⌋⌉ (1≤l≤3n−7), κ(AGn;Ck)=⌈n−2⌊k/3⌋⌉ and κs(AGn;Ck)=⌈2n−4k−⌊k/3⌋⌉ (6≤k≤3n−6).

Keywords: Interconnection networks; Structure connectivity; Substructure connectivity; Alternating group graph (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:391:y:2021:i:c:s0096300320305932

DOI: 10.1016/j.amc.2020.125639

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