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所属单位：理学院

发表刊物：DISCRETE APPLIED MATHEMATICS

关键字：Eccentricity Eccentric connectivity index Connective eccentricity index Diameter

摘要：For a connected graph G, the eccentric connectivity index (ECI) and connective eccentricity index (CEI) of G are, respectively, defined as xi(c)(G) = Sigma(vi is an element of V(G)) deg(G)(v(i))epsilon(G)(v(i)), xi(ce)(G) = Sigma(vi is an element of V(G)) deg(G)(v(i))/epsilon(G)(v(i)) where deg(G)(v(i)) is the degree of v(i) in G and epsilon(G)(v(i)) denotes the eccentricity of vertex v(i) in G. In this paper we study on the difference of ECI and CEI of graphs G, denoted by xi(D)(G) = xi(c)(G) - xi(ce)(G). We determine the upper and lower bounds on xi(D)(T) and the corresponding extremal trees among all trees of order n. Moreover, the extremal trees with respect to xi(D) are completely characterized among all trees with given diameter d. And we also characterize some extremal general graphs with respect to xi(D). Finally we propose that some comparative relations between CEI and ECI are proposed on general graphs with given number of pendant vertices. (C) 2017 Elsevier B.V. All rights reserved.

ISSN号：0166-218X

是否译文：否

发表时间：2017-12-31

合写作者：Alizadeh, Yaser,Das, Kinkar Ch.

通讯作者：许克祥