The Minimum General Sum-Connectivity Index of Trees with Given Matching Number
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-019-00755-3
Abstract: The general sum-connectivity index of a graph G is defined as $$\chi _\alpha (G)=\sum _{uv\in E(G)}(d(u)+d(v))^{\alpha }$$ χ α ( G ) = ∑ u v ∈ E ( G ) ( d ( u… read more here.
Keywords: number; sum connectivity; general sum; sum ... See more keywords
An alternative but short proof of a result of Zhu and Lu concerning general sum-connectivity index
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DOI: 10.1142/s1793557118500304
Abstract: Recently, Zhu and Lu, [On the general sum-connectivity index of tricyclic graphs, J. Appl. Math. Comput. 51(1) (2016) 177–188] determined the graphs having maximum general sum-connectivity index among all n-vertex tricyclic graphs. In this short… read more here.
Keywords: connectivity index; sum connectivity; general sum;
Bounds for the general sum-connectivity index of composite graphs
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DOI: 10.1186/s13660-017-1350-y
Abstract: The general sum-connectivity index is a molecular descriptor defined as χα(X)=∑xy∈E(X)(dX(x)+dX(y))α$\chi_{\alpha}(X)=\sum_{xy\in E(X)}(d_{X}(x)+d_{X}(y))^{\alpha}$, where dX(x)$d_{X}(x)$ denotes the degree of a vertex x∈X$x\in X$, and α is a real number. Let X be a graph; then let… read more here.
Keywords: sum; sum connectivity; general sum; connectivity index ... See more keywords