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

Authors : Betül ATAY ATAKUL

Pages : 7-13

View : 14 | Download : 10

Publication Date : 2022-04-30

Article Type : Research Paper

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}insert ignore into journalissuearticles values(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 \betainsert ignore into journalissuearticles values(P_{n});>\betainsert ignore into journalissuearticles values(G);.
Keywords : domination number, independent transversal domination number, independence number