Turkish Journal of Science

Journal

Turkish Journal of Science


Volume
& Issue

Volume 7, Issue 1


Published
on

January 20, 2022


Pages

7-13


DOI

Article

Independent Transversal Domination Number of Corona and Join Operation in Path Graphs


Authors

Betul ATAY ATAKUL


Abstract

A dominating set of a graph G which intersects every independent set of a maximum cardinality in G is called an independent transversal dominating set. The minimum cardinality of an independent transversal dominating set is called the independent transversal domination number of G and is denoted by γ (G). In this paper we investigate the independent transversal domination number of the path graph it P n with the star graph S 1,m , the wheel graph W 1,m and the complete graph K n under neihgbourhood corona, edge corona and join operation providing β(P ) > β(G).


Citation