Das, Kinkar ChandraMaden, Ayşe DilekÇevik, Ahmet Sinan2023-03-012023-03-012016-10-20Das, K. C. vd. (2017). ''On average eccentricity of graphs''. Proceedings of the National Academy of Sciences India Section A - Physical Sciences, 87(1), 23-30.0369-82032250-1762https://doi.org/10.1007/s40010-016-0315-8https://link.springer.com/article/10.1007/s40010-016-0315-8http://hdl.handle.net/11452/31281The 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.eninfo:eu-repo/semantics/closedAccessScience & technology - other topicsGraphDistancesAverage eccentricityEccentricityClique numberFirst Zagreb indexEnergyGeometric-arithmetic index (GA1)Atom-bond connectivity index ( ABC)Atom-bond connectivityIndexAlkanesIndependence numberArticle0003943644000042-s2.0-850131740582330871Multidisciplinary sciencesGraph; Unicyclic Graph; Vertex Degree