On average eccentricity of graphs
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Date
2016-10-20
Journal Title
Journal ISSN
Volume Title
Publisher
Natl Acad Sciences
Abstract
The eccentricity of a vertex is the maximum distance from it to any other vertex and the average eccentricity avec(G) of a graph G is the mean value of eccentricities of all vertices of G. In this paper we present some lower and upper bounds for the average eccentricity of a connected (molecular) graph in terms of its structural parameters such as number of vertices, diameter, clique number, independence number and the first Zagreb index. Also, we obtain a relation between average eccentricity and first Zagreb index. Moreover, we compare average eccentricity with graph energy, ABC index and index.
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Keywords
Science & technology - other topics, Graph, Distances, Average eccentricity, Eccentricity, Clique number, First Zagreb index, Energy, Geometric-arithmetic index (GA1), Atom-bond connectivity index ( ABC), Atom-bond connectivity, Index, Alkanes, Independence number
Citation
Das, K. C. vd. (2017). ''On average eccentricity of graphs''. Proceedings of the National Academy of Sciences India Section A - Physical Sciences, 87(1), 23-30.