Domination parameters and the removal of matchings

Geoffrey Boyer, Wayne Goddard and Michael A. Henning

Applied Mathematics and Computation, 2024, vol. 476, issue C

Abstract: We consider the effect of the removal of a matching from a graph on the value of domination and domination-related parameters with emphasis on the removal of a maximum matching from a cubic graph or tree. For example, we show that the independent domination number of a nontrivial tree increases on the removal of any maximum matching.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:476:y:2024:i:c:s0096300324002224

DOI: 10.1016/j.amc.2024.128752

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