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- W3155147072 abstract "A set D of vertices in G is a disjunctive dominating set in G if every vertex not in D is adjacent to a vertex of D or has at least two vertices in D at distance 2 from it in G. The disjunctive domination number, γ2d(G), of G is the minimum cardinality of a disjunctive dominating set in G. In this paper, we show that if G be a graph of order at least 3, δ(G)≥2 and with no component isomorphic to any of eight forbidden graphs, then γ2d(G)≤|G|3. Moreover, we provide an infinite family of graphs attaining this bound. In addition, we also study the case that G is a claw-free graph with minimum degree at least two." @default.
- W3155147072 created "2021-04-26" @default.
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- W3155147072 date "2023-07-01" @default.
- W3155147072 modified "2023-09-23" @default.
- W3155147072 title "Disjunctive domination in graphs with minimum degree at least two" @default.
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- W3155147072 doi "https://doi.org/10.1016/j.disc.2023.113438" @default.
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