TY - JOUR T1 - Independent Transversal Domination Number of Corona and Join Operation in Path Graphs AU - Atay Atakul, Betül PY - 2022 DA - April JF - Turkish Journal of Science JO - TJOS PB - Ahmet Ocak AKDEMİR WT - DergiPark SN - 2587-0971 SP - 7 EP - 13 VL - 7 IS - 1 LA - en AB - 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). KW - domination number KW - independent transversal domination number KW - independence number CR - 1)Ahangar H.A., Samodivkin V. and Yero I.G., Independent Transversal Dominating Sets in Graphs. Complexity and Structural Properties. Filomat. 30(2), 2016, 293--303. CR - 2)Alon N., Fellows M.R. and Hare D.R., Vertex Transversals that Dominate. Journal of Graph Theory. 21(1), 1996, 21--31. CR - 3)Brause C., Henning M., Ozeki K., Schiermeyer I. and Vumar E., On Upper Bounds For The Independent Transversal Domination Number. Discrete Applied Mathematics. Vol. 236, 2018, 66--72. CR - 4)Chartrand G. and Lesniak L., Graphs and Digraphs, Fourth Edition, 2005. CR - 5)Gopalapillai I., The spectrum of Neigbourhood Corona of Graphs. Kragujevac Journal of Mathematics. 35(3), 2011, 493--500. CR - 6)Hamid I.S., Independent Transversal Domination ın Graphs. Discussiones Mathematicae Graph Theory. Vol.32, 2012, 5--7. CR - 7)Harary F., Graph Theory, Addition-Wesley Publishing Co., Reading, MA/Menlo Park, CA/London, 1969. CR - 8) Haynes T. W., Hedeniemi S. T. and Slater P. J., Fundamentals of Domination in Graphs, Marcel Dekker, Inc, New York, 1998. CR - 9)Henning M.A., Domination in Graphs: a survey. Cong. Number., In G. Chartrand and M. Jacobson, editors, Surveys in Graph Theory. Vol. 116, 1996, 139--172. CR - 10)Hou Y. and Shiu W., The spectrum of edge corona of graphs. Electronic Journal of Linear Algebra. Vol. 20, 2010, 586--594. UR - https://dergipark.org.tr/en/pub/tjos/article/1030603 L1 - https://dergipark.org.tr/en/download/article-file/2107954 ER -