منابع مشابه
Eccentric Connectivity Index: Extremal Graphs and Values
Eccentric connectivity index has been found to have a low degeneracy and hence a significant potential of predicting biological activity of certain classes of chemical compounds. We present here explicit formulas for eccentric connectivity index of various families of graphs. We also show that the eccentric connectivity index grows at most polynomially with the number of vertices and determine ...
متن کاملEccentric Connectivity Index of Some Dendrimer Graphs
The eccentricity connectivity index of a molecular graph G is defined as (G) = aV(G) deg(a)ε(a), where ε(a) is defined as the length of a maximal path connecting a to other vertices of G and deg(a) is degree of vertex a. Here, we compute this topological index for some infinite classes of dendrimer graphs.
متن کاملOn Eccentric Graphs of Broom Graphs
On Eccentric Graphs of Broom Graphs S. Sriram, D. Ranganayakulu, Ibrahim Venkat 3 and K.G. Subramanian Research Scholar, Manonmaniam Sundaranar University Valliammai Engineering College, SRM Nagar, Kattankulathur 603 203 Email: [email protected] Department of Mathematics, S.I.V.E.T College, Gowrivakkam, Chennai 600 073 Email: [email protected] School of Computer Science, Universiti Sain...
متن کاملTricyclic and Tetracyclic Graphs with Maximum and Minimum Eccentric Connectivity
Let $G$ be a connected graph on $n$ vertices. $G$ is called tricyclic if it has $n + 2$ edges, and tetracyclic if $G$ has exactly $n + 3$ edges. Suppose $mathcal{C}_n$ and $mathcal{D}_n$ denote the set of all tricyclic and tetracyclic $n-$vertex graphs, respectively. The aim of this paper is to calculate the minimum and maximum of eccentric connectivity index in $mathcal{C}_n$ and $mathcal{D}_n...
متن کاملeccentric connectivity index: extremal graphs and values
eccentric connectivity index has been found to have a low degeneracy and hence a significantpotential of predicting biological activity of certain classes of chemical compounds. wepresent here explicit formulas for eccentric connectivity index of various families of graphs.we also show that the eccentric connectivity index grows at most polynomially with thenumber of vertices and determine the ...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1985
ISSN: 0012-365X
DOI: 10.1016/0012-365x(85)90188-8