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ISSN: 2643-6744

Current Trends in Computer Sciences & Applications

Review Article(ISSN: 2643-6744)

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

Volume 1 - Issue 1

Huimin Li1, Fang Gao1 and Kexiang Xu ay2*

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    • 1College of Science, China
    • 2School of Mathematics and Computer Science, China

    *Corresponding author: Kexiang Xu ay, School of Mathematics and Computer Science, Anhui 247000, PR China

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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