Minimum eccentric connectivity index for graphs with fixed order and fixed number of pendant vertices

The eccentric connectivity index of a connected graph G is the sum over all vertices v of the product dG(v)eG(v), where dG(v) is the degree of v in G and eG(v) is the maximum distance between v and any other vertex of G. We characterize, with a new elegant proof, those graphs which have the smallest...

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Bibliographic Details
Main Authors: Devillez Gauvain, Hertz Alain, Mélot Hadrien, Hauweele Pierre
Format: Article
Language:English
Published: University of Belgrade 2019-01-01
Series:Yugoslav Journal of Operations Research
Subjects:
Online Access:http://www.doiserbia.nb.rs/img/doi/0354-0243/2019/0354-02431900010D.pdf