On Some Structural Properties of Integer-Based Graphs and Their Topological Indices

Abstract

Integer partition plays an important role in different fields like graph theory and number theory. This paper comprises different properties of the integer partition-based graphs. These properties give an idea about the structural properties like degree of the vertices. Furthermore, topological index of the graphs is considered as a transformation of a chemical structure into an integer number. We discussed two very important indices, namely, harmonic index and Randic index, for these particular graphs.