Chromatic Harmonic Indices and Chromatic Harmonic Polynomials of Certain Graphs

Author(s):

J. Kok* , K.A. Germina

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In the main this paper introduces the concept of chromatic harmonic polynomials denoted, $H^chi(G,x)$ and chromatic harmonic indices denoted, $H^chi(G)$ of a graph $G$. The new concept is then applied to finding explicit formula for the minimum (maximum) chromatic harmonic polynomials and the minimum (maximum) chromatic harmonic index of certain graphs. It is also applied to split graphs and certain derivative split graphs.

Keywords:

Chromatic harmonic index , Chromatic harmonic polynomial , Split graph , Derivative split graph

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:14 Issue: 2, Nov 2019
Pages:
173 to 184
https://www.magiran.com/p2037909