Volume 14, Issue 2 (10-2019)                   IJMSI 2019, 14(2): 173-184 | Back to browse issues page

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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. 

Type of Study: Research paper | Subject: Special