Total restrained monophonic concepts in graphs

Abstract

The research work entitled TOTAL RESTRAINED newlineMONOPHONIC CONCEPTS IN GRAPHS has been carried out under the newlineguidance and supervision of Dr. P. Arul Paul Sudhahar, Assistant Professor, newlineDepartment of Mathematics, Rani Anna Government College for Women, newlineTirunelveli, India. newlineThe thesis consist of six chapters newline1. Preliminaries newline2. Total Restrained Monophonic Number of a Graph newline3. Total Restrained Monophonic Domination Number of a Graph newline4. Restrained Detour Monophonic Domination Number of a Graph newline5. Total Edge Detour Monophonic Number of a Graph newline6. Forcing Restrained Monophonic Domination Number of a Graph newlineGraph theory is a very delightful, interesting and application-oriented newlinebranch of Discrete Mathematics. Graph theory has been excited since the 18th newlinecentury. Of course, graph theory was born in 1736 with Eulers paper in which he newlinesolved the Koninsberg bridge problem. In 1847, G.R.Kirchhoff developed the newlinetheory of tress and their applications in electrical networks. There after several newlineimportant results in graph theory were obtained in the 19th century. But it is newlineonly since the 1920s, there has been a sustained, widespread, intense growth in newlinegraph theory. Also it might be fun for learning. newline