Eccentric distance sum index for some classes of connected graphs

Halina Bielak, Katarzyna Broniszewska

Abstract


In this paper we show some properties of the eccentric distance sum index which is defined as follows \(\xi^{d}(G)=\sum_{v \in V(G)}D(v) \varepsilon(v)\). This index is widely used by chemists and biologists in their researches. We present a lower bound of this index for a new class of graphs.

Keywords


Adjacent eccentric distance sum; diameter; distance; eccentricity; radius; Wiener index

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References


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DOI: http://dx.doi.org/10.17951/a.2017.71.2.25
Date of publication: 2017-12-18 20:31:32
Date of submission: 2017-12-16 22:16:38


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