Some distance based indices of graphs based on four new operations related to the lexicographic product

Keywords:
Wiener index, degree distance index, hyper-Wiener index, lexicographic product, subdivision, total graph
Published online:
2019-12-31
Abstract
For a (molecular) graph, the Wiener index, hyper-Wiener index and degree distance index are defined as and respectively, where denotes the degree of a vertex in and is distance between two vertices and of a graph . In this paper, we study Wiener index, hyper-Wiener index and degree distance index of graphs based on four new operations related to the lexicographic product, subdivision and total graph.
How to Cite
(1)
Dehgardi, N.; Sheikholeslami, S.; Soroudi, M. Some Distance Based Indices of Graphs Based on Four New Operations Related to the Lexicographic Product. Carpathian Math. Publ. 2019, 11, 258-267.