Distance Based Topological Indices of Double graphs and Strong Double graphs

Keerthi G. Mirajkar, Shobha Rajashekhar Konnur

Abstract


Topological index is a numerical representation of structure of graph. They are mainly classified as Distance and Degree based topological indices. In this article Distance based topological indices of Double graphs and Strong Double graphs are calculated. Let $G$ be a graph of order $n$ with the vertex set $ V(G)$ containing vertices $v_1,v_2,....,v_n$. Double graph of graph $G$ is constructed by taking two copies of G in which a vertex $v_i$ in one copy is adjacent to a vertex $v_j$ in the another copy if $ v_i$ and $v_j$ are adjacent in G. Strong Double graph is a double graph in which a vertex $v_i$ in one copy is adjacent to a vertex $v_j$ in the another copy if $i=j$. 


Keywords


Topological Indices; Double graphs; Strong Double graphs

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DOI: http://dx.doi.org/10.23755/rm.v48i0.1207

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Ratio Mathematica - Journal of Mathematics, Statistics, and Applications. ISSN 1592-7415; e-ISSN 2282-8214.