On the second Zagreb eccentricity indices of graphs

Jianping Li and Jianbin Zhang

Applied Mathematics and Computation, 2019, vol. 352, issue C, 180-187

Abstract: For a connected graph G, the second Zagreb eccentricity index of G is defined as ξ2(G)=∑uv∈E(G)eG(u)eG(v), where eG(u) denotes the eccentricity of u in G. In this paper, we give a graft transformation to increase the second Zagreb eccentricity indices of graphs, and as applications, we determine n-vertex bicyclic graphs with maximum and second maximum second Zagreb eccentricity indices, respectively.

Keywords: Zagreb eccentricity index; Second Zagreb eccentricity index; Bicyclic graphs; Eccentricity (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300319300876
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:352:y:2019:i:c:p:180-187

DOI: 10.1016/j.amc.2019.01.070

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().