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
Sign Up to like & getrecommendations! Published in 2017 at "Asian-european Journal of Mathematics"
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
Optimization of General Power-Sum Connectivity Index in Uni-Cyclic Graphs, Bi-Cyclic Graphs and Trees by Means of Operations
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DOI: 10.3390/axioms13120840
Abstract: The field of indices has been explored and advanced by various researchers for different purposes. One purpose is the optimization of indices in various problems. In this work, the general power-sum connectivity index is considered.… read more here.
Keywords: cyclic graphs; sum connectivity; power sum; graphs ... See more keywords
Maximum General Sum-Connectivity Index of Trees and Unicyclic Graphs with Given Order and Number of Pendant Vertices
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DOI: 10.3390/math13193061
Abstract: For a∈R, the general sum-connectivity index of a graph G is defined as χa(G)=∑uv∈E(G)[dG(u)+dG(v)]a, where E(G) is the set of edges of G and dG(u) and dG(v) are the degrees of vertices u and v,… read more here.
Keywords: sum connectivity; connectivity index; general sum;