• GRAPHICAL PARTITION AND SOME GRAPH OF SPECIAL TYPES

Abstract

A graphical partition of the even integer is a partition of of which each part of the partition is the degree of a vertex in a simple graph and the degree sum of the graph is . In this paper, we study some theoretical investigations related to the existence of pan graph, sun graph, helm graph, barbell graph, and complete bipartite graph from the graphical parts of the numbers for and for and an algorithm is developed to determine different forms of graphs of the graphical parts.