COMMON NEIGHBOR POLYNOMIAL OF SOME DENDRIMER STRUCTURES
Let be a simple graph of order n with vertex set V and edge set E. Let denote an unordered vertex pair of distinct vertices of G. The i-common neighbor set of G is defined as and for The polynomial is defined as the common neighbor polynomial of G. In this paper, we study the common neighbor polynomial of some dendrimer structures. Also, we establish a relation between the common neighbor polynomial and Hosoya polynomial of triangle-free graphs of diameter not more than 3.
common neighbor polynomial, dendrimer.