Geodesic
Some properties of the Zagreb eccentricity indices
Ars Mathematica Contemporanea, Tome 6 (2013) no. 1, pp. 117-125.

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The concept of Zagreb eccentricity (E1 and E2) indices was introduced in the chemical graph theory very recently . The first Zagreb eccentricity (E1) and the second Zagreb eccentricity (E2) indices of a graph G are defined asE1 = E1(G) = ∑vi ∈ V(G) ei2andE2 = E2(G) = ∑vivj ∈ E(G) ei ⋅ ej , where E(G) is the edge set and ei is the eccentricity of the vertex vi in G. In this paper we give some lower and upper bounds on the first Zagreb eccentricity and the second Zagreb eccentricity indices of trees and graphs, and also characterize the extremal graphs.
DOI : 10.26493/1855-3974.237.48a
Keywords: Graph, first Zagreb eccentricity index, second Zagreb eccentricity index, diameter, eccentricity. 
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Kinkar Ch. Das; Dae-Won Lee; Ante Graovac. Some properties of the Zagreb eccentricity indices. Ars Mathematica Contemporanea, Tome 6 (2013) no. 1, pp. 117-125. doi : 10.26493/1855-3974.237.48a. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.237.48a/

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