Adeeba Hafeez2025-11-212025-11-212021https://escholar.umt.edu.pk/handle/123456789/11567Our task in this thesis is to study the graph associated with numerical semigroup i =< 3, 3n + 1 >. We have calculated the order, size, degree, first Zagreb index, reverse degree and first reverse Zagreb index, size of a line graph, chromatic number, central vertices and metric dimensions of a graph associated with numerical semigroup < 3, 3n + 1 >.enThesis