Extremal conjugated unicyclic and bicyclic graphs with respect to total-eccentricity index

Mehar Ali Malik; Rashid Farooq

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arXiv · 1905.08630

Extremal conjugated unicyclic and bicyclic graphs with respect to total-eccentricity index

Mehar Ali Malik·Rashid Farooq

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Abstract

Let $G$ be a molecular graph. The total-eccentricity index of graph $G$ is defined as the sum of eccentricities of all vertices of $G$. %In [R. Farooq, M.A. Malik, J. Rada, Extremal graphs with respect to total-eccentricity index, 2017, submitted], the authors studied The extremal trees, unicyclic and bicyclic graphs, and extremal conjugated trees with respect to total-eccentricity index are known. In this paper, we extend these results and study the extremal conjugated unicyclic and bicyclic graphs with respect to total-eccentricity index.

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Mehar Ali Malik, Rashid Farooq. 2019-05-17. Extremal conjugated unicyclic and bicyclic graphs with respect to total-eccentricity index. https://arxiv.org/abs/1905.08630

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