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A Survey on Characterizing Trees Using Domination Number

Author

Listed:
  • 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)

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.

Suggested Citation

  • Yamuna Manimuthu & Karthika Kumarasamy, 2022. "A Survey on Characterizing Trees Using Domination Number," Mathematics, MDPI, vol. 10(13), pages 1-39, June.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:13:p:2173-:d:844950
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    References listed on IDEAS

    as
    1. Marcin Krzywkowski, 2015. "On trees with equal 2-domination and 2-outer-independent domination numbers," Indian Journal of Pure and Applied Mathematics, Springer, vol. 46(2), pages 191-195, April.
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