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- W2187265864 abstract "For a 2-edge-connected graph G ,t hegroup connectivity number of G is defined as Λg(G )=m in{k : G is A-connected for every abelian group with |A |≥ k} .L etGH denote the semistrong product of two graphs G and H. In this paper, we extend the result of Yan et al. (Int. J. Algebra 4 (2010), 1185-1200) on group connectivity in Cartesian product of graphs to semistrong products and make a slightly stronger conclusion: Λg(GH) ≤ 5 for two nontrivial connected simple graphs G and H, where equality holds if and only if either GH ∼ TK2, where T is a tree, or GH ∼ K2 • K1,m, where m ≥ 2." @default.
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- W2187265864 date "2013-01-01" @default.
- W2187265864 modified "2023-09-23" @default.
- W2187265864 title "Group connectivity of semistrong product of graphs" @default.
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