2019/05/17 by Mehar Ali Malik, Malik, Mehar Ali, Rashid Farooq +1
Mathematics · Materials Science · Chemistry · #Graph theory and applications #Graphene research and applications #Fullerene Chemistry and Applications
paper · pdf · doi:10.48550/arxiv.1905.08630
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.