A Survey on Characterizing Trees Using Domination Number

Yamuna Manimuthu and Karthika Kumarasamy
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Yamuna Manimuthu: Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, India
Karthika Kumarasamy: Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, India

Mathematics, 2022, vol. 10, issue 13, 1-39

Abstract: Ever since the discovery of domination numbers by Claude Berge in the year 1958, graph domination has become an important domain in graph theory that has strengthened itself as a theory and has extended its contributions to various applications. Tree characterization is an important problem in graph domination. This survey focuses on presenting a collection of results on characterizing trees using domination number.

Keywords: dominating set; graph domination; tree characterization (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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