The Total Outer Independent Monophonic Dominating Parameters in Graphs
P. Arul Paul Sudhahar
Department of Mathematics, Rani Anna Govt. College (W), Tirunelveli – 627 008, Tamilnadu, India.
A. J. Bertilla Jaushal *
Department of Mathematics, Nanjil Catholic College of Arts and Science, Manonmaniam Sundaranar University, Kaliyakkavilai – 629 153, Kanyakumari District, Tamil Nadu, India.
*Author to whom correspondence should be addressed.
Abstract
In this paper the concept of total outer independent monophonic domination number of a graph is introduced. A monophonic set SÍV is said to be total outer independent monophonic domination set if <S> has no isolated vertex and <V-S> is an independent set.
Keywords: Monophonic set, monophonic number, monophonic dominating set, monophonic domination number, crown graph, independent monophonic domination number, total outer independent monophonic domination number.