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The Extremal Graphs For (Sum-) Balaban Index of Spiro and Polyphenyl Hexagonal Chains
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نویسنده
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Zuo Yang ,Tang Yaqian ,Deng Hanyuan
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منبع
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Iranian Journal Of Mathematical Chemistry - 2018 - دوره : 9 - شماره : 4 - صفحه:241 -254
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چکیده
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As highly discriminant distance-based topological indices, the balaban index and the sum-balaban index of a graph $g$ are defined as $j(g)=frac{m}{mu+1}sumlimits_{uvin e} frac{1}{sqrt{d_{g}(u)d_{g}(v)}}$ and $sj(g)=frac{m}{mu+1}sumlimits_{uvin e} frac{1}{sqrt{d_{g}(u)+d_{g}(v)}}$, respectively, where $d_{g}(u)=sumlimits_{vin v}d(u,v)$ is the distance sum of vertex $u$ in $g$, $m$ is the number of edges and $mu$ is the cyclomatic number of $g$. they are useful distance-based descriptor in chemometrics. in this paper, we focus on the extremal graphs of spiro and polyphenyl hexagonal chains with respect to the balaban index and the sum-balaban index.
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کلیدواژه
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Balaban Index ,Sum-Balaban Index ,Spiro Hexagonal Chain ,Polyphenyl Hexagonal Chain
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آدرس
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Hunan Normal University, College Of Mathematics And Statistics, China, Hunan Normal University, College Of Mathematics And Statistics, China, Hunan Normal University, College Of Mathematics And Statistics, China
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پست الکترونیکی
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hydeng@hunnu.edu.cn
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Authors
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