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

Year 2022, Volume: 7 Issue: 1, 7 - 13, 30.04.2022

Betül 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 gamma_{it}(G). In this paper we investigate the independent transversal domination number of the path graph 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 \beta(P_{n})>\beta(G).

Keywords

domination number, independent transversal domination number, independence number

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