Comparison between the Second Zagreb Eccentricity Index and Eccentric Connectivity Index of Graphs

Huimin Li¹, Fang Gao¹ and Kexiang Xu ay²*

Received: November 12, 2018;   Published: November 19, 2018

DOI: 10.32474/CTCSA.2018.01.000105

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Abstract

For a graph G, the second Zagreb eccentricity index E2(G) and eccentric connectivity index ∈c (G) are two eccentricity-based invariants of graph G. In this paper we prove some results on the comparison between 2E (G) m and c (G) n ξ of connected graphs G of order n and with m edges.

The authors demonstrated how a combination of both techniques and human interventions enhances control, decision-making and data analysis systems.

Keywords: Graph; Eccentricity (of vertex); Second Zagreb eccentricity index; Eccentric connectivity index

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