The Eccentricity Temperature Based Indices of a Graph

Paper ID: EIJTEM_2026_13_4_11-20

Author's Name: T. V. ASHA, S R VAISHNAVI, R BHARATHI

Volume: 13

Issue: 4

Year: 2026

Page No: 11-20

Abstract:

Topological indices in graph theory are numerical parameters associated with a graph that capture structural information about it. These indices play an important role in chemical graph theory, network analysis, and mathematics for comparing graphs and predicting their properties. In this paper, we introduce the eccentricity temperature–based indices of a graph G, namely the sum eccentricity–temperature index SET(G), product eccentricity–temperature index PET(G), and difference eccentricity–temperature index DET(G). We determine the exact values of these indices for certain classes of graphs and establish several bounds and characterizations by applying classical inequalities. Also, we obtain the comparative analysis among the eccentricity temperature based graphical indices of molecular graphs of octane isomers.

Keywords: generalised sum, product and difference based Eccentricity Harary indices

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