On the distance spectrum and distance-based topological indices of central vertex-edge join of three graphs

2022/10/04 by T Haritha, T, Haritha, A. V. Chithra +1
Chemistry · Computer Science · Mathematics · #05C12 #05C50 #05C76 #Combinatorics (math.CO) #Computational Drug Discovery Methods #FOS: Mathematics #Graph theory and applications #History and advancements in chemistry

paper · pdf · doi:10.48550/arxiv.2210.01497

openalex publication_date 2022/10/04 · openalex created_date 2022/10/06 · openalex updated_date 2026/07/28

Abstract

Topological indices are molecular descriptors that describe the properties of chemical compounds. These topological indices correlate specific physico-chemical properties like boiling point, enthalpy of vaporization, strain energy, and stability of chemical compounds. This article introduces a new graph operation based on central graph called central vertex-edge join and provides its results related to graph invariants like eccentric-connectivity index, connective eccentricity index, total-eccentricity index, average eccentricity index, Zagreb eccentricity indices, eccentric geometric-arithmetic index, eccentric atom-bond connectivity index, and Wiener index. Also, we discuss the distance spectrum of the central vertex-edge join of three regular graphs. Furthermore, we obtain new families of D-equienergetic graphs, which are non D-cospectral.

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