the hyper edge-wiener index of corona product of graphs
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abstract
let $g$ be a simple connected graph. the edge-wiener index $w_e(g)$ is the sum of all distances between edges in $g$, whereas the hyper edge-wiener index $ww_e(g)$ is defined as {footnotesize $w{w_e}(g) = {frac{1}{2}}{w_e}(g) + {frac{1}{2}} {w_e^{2}}(g)$}, where {footnotesize $ {w_e^{2}}(g)=sumlimits_{left{ {f,g} right}subseteq e(g)} {d_e^2(f,g)}$}. in this paper, we present explicit formula for the hyper edge-wiener index of corona product of two graphs. also, we use it to determine the hyper edge-wiener index of some chemical graphs.
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Journal title:
transactions on combinatoricsPublisher: university of isfahan
ISSN 2251-8657
volume 4
issue 3 2015
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