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- W4327905061 abstract "A dominating set X in a graph G is secure if for each u∈V(G)−X, there exists a neighbor x of u in X such that (X−{x})∪{u} is a dominating set. The secure domination number of G is the order of a smallest secure dominating set and denoted by γs(G). Let β(G) be the independence number of G. In this note, we remark that every C5-free G satisfies γs(G)≤β(G). This inequality unifies and extends several known results." @default.
- W4327905061 created "2023-03-21" @default.
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- W4327905061 date "2023-07-01" @default.
- W4327905061 modified "2023-09-25" @default.
- W4327905061 title "A note on secure domination in <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline id=d1e23 altimg=si16.svg><mml:msub><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>5</mml:mn></mml:mrow></mml:msub></mml:math>-free graphs" @default.
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- W4327905061 doi "https://doi.org/10.1016/j.dam.2023.03.016" @default.
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