%0 Journal Article %A Kok, J. %A Germina, K. A. %T Chromatic Harmonic Indices and Chromatic Harmonic Polynomials of Certain Graphs %J Iranian Journal of Mathematical Sciences and Informatics %V 14 %N 2 %U http://ijmsi.ir/article-1-1007-en.html %R %D 2019 %K Chromatic harmonic index, Chromatic harmonic polynomial, Split graph, Derivative split graph, %X 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. %> http://ijmsi.ir/article-1-1007-en.pdf %P 173-184 %& 173 %! %9 Research paper %L A-10-2373-1 %+ Center for Studies in Discrete Mathematics, Vidya Academy of Science & Technology,Thrissur, India. %G eng %@ 1735-4463 %[ 2019