TY - JOUR T1 - Chromatic Harmonic Indices and Chromatic Harmonic Polynomials of Certain Graphs TT - JF - IJMSI JO - IJMSI VL - 14 IS - 2 UR - http://ijmsi.ir/article-1-1007-en.html Y1 - 2019 SP - 173 EP - 184 KW - Chromatic harmonic index KW - Chromatic harmonic polynomial KW - Split graph KW - Derivative split graph N2 - 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. M3 ER -