A note on the upper bound for the paired-domination number of a graph with minimum degree at least two
Copyright policy ) Shenwei Huang; Erfang Shan;
A note on the upper bound for the paired-domination number of a graph with minimum degree at least two
Summary: In this note, we give a counter example to show that the proof of a main result obtained by \textit{T. W. Haynes} and \textit{P. J. Slater} [Networks 32, No.3, 199--206 (1998; Zbl 0997.05074), Theorem 12] is inaccurate. Here, we give a complete proof of the result.
- Shanghai University China (People's Republic of)
- Shanghai University China (People's Republic of)
Extremal problems in graph theory, Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.), upper bound, paired-domination number, minimum degree
Extremal problems in graph theory, Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.), upper bound, paired-domination number, minimum degree
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