Volume 11, Issue 1 (4-2016)                   IJMSI 2016, 11(1): 137-143 | Back to browse issues page

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Tavakoli M, Rahbarnia F, Ashrafi A R. Tricyclic and Tetracyclic Graphs with Maximum and Minimum Eccentric Connectivity. IJMSI. 2016; 11 (1) :137-143
URL: http://ijmsi.ir/article-1-891-en.html


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 $mathcal{D}_n$.

Type of Study: Research | Subject: Special

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