In this paper we show bounds for the adjacent eccentric distance sum of graphs in terms of Wiener index, maximum degree and minimum degree. We extend some earlier results of Hua and Yu [Bounds for the Adjacent Eccentric Distance Sum, International Mathematical Forum. Vol. 7 (2O02) no. 26. 1280-1294]. The adjaceni eccentric distance sum index of the graph G is defined as [...] where ε(υ) is the eccentricity of the vertex υ, deg(υ) is the degree of the vertex υ and D(υ) = ∑u∊v(G) d (u,υ)is the sum of all distances from the vertex υ.
@article{bwmeta1.element.doi-10_1515_umcsmath-2015-0001,
author = {Halina Bielak and Katarzyna Wolska},
title = {On the adjacent eccentric distance sum of graphs},
journal = {Annales UMCS, Mathematica},
volume = {68},
year = {2015},
zbl = {1308.05042},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_umcsmath-2015-0001}
}
Halina Bielak; Katarzyna Wolska. On the adjacent eccentric distance sum of graphs. Annales UMCS, Mathematica, Tome 68 (2015) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_umcsmath-2015-0001/
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