Domination versus independent domination in regular graphs

نویسندگان

چکیده

Abstract A set of vertices in a graph is dominating if every vertex or adjacent to . If, addition, an independent set, then set. The domination number the minimum cardinality , while We prove that for all integers it holds connected ‐regular graph, with equality and only result was previously known This affirmatively answers question Babikir Henning.

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ژورنال

عنوان ژورنال: Journal of Graph Theory

سال: 2021

ISSN: ['0364-9024', '1097-0118']

DOI: https://doi.org/10.1002/jgt.22711