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- W1974725983 abstract "A graph G is called (H; k)-vertex stable if G contains a subgraph isomorphic to H ever after removing any of its k vertices. Q(H; k) denotes the minimum size among the sizes of all (H; k)-vertex stable graphs. In this paper we complete the characterization of (Km;n; 1)vertex stable graphs with minimum size. Namely, we prove that for m 2 and n m + 2, Q(Km;n; 1) = mn+m+n and Km;n K1 as well as Km+1;n+1 e are the only (Km;n; 1)-vertex stable graphs with minimum size, conrming the conjecture of Dudek and Zwonek." @default.
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- W1974725983 date "2010-01-01" @default.
- W1974725983 modified "2023-09-25" @default.
- W1974725983 title "On vertex stability with regard to complete bipartite subgraphs" @default.
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- W1974725983 doi "https://doi.org/10.7151/dmgt.1521" @default.
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