Title of article :
Chromatic Harmonic Indices and Chromatic Harmonic Polynomials of Certain Graphs
Author/Authors :
Kok, Johan Centre for Studies in Discrete Mathematics - Vidya Academy of Science & Technology,Thrissur, India , Germina, K.A Department of Mathematics - School of Physical Sciences - Central University of Kerala, Kasargod, India
Abstract :
In the main this paper introduces the concept of chromatic
harmonic polynomials denoted, Hχ(G; x) and chromatic harmonic indices
denoted, Hχ(G) of a graph G. The new concept is then applied to nd-
ing 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 :
Derivative split graph , Split graph , Chromatic harmonic polynomial , Chromatic harmonic index
