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The extremal values of connective eccentricity index for trees and unicyclic graphs

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ABSTRACT Let G be a simple connected graph with vertex set . The connective eccentricity index (CEI) of a graph is defined as , where , denote the eccentricity and… Click to show full abstract

ABSTRACT Let G be a simple connected graph with vertex set . The connective eccentricity index (CEI) of a graph is defined as , where , denote the eccentricity and the degree of v, respectively. In this paper, we further study the CEI of trees and unicyclic graphs with several graph constraints, we also determine the extremal graphs.

Keywords: trees unicyclic; unicyclic graphs; connective eccentricity; eccentricity; eccentricity index

Journal Title: International Journal of Computer Mathematics
Year Published: 2017

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