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
Convergence of Decentralized Actor-Critic Algorithm in General–Sum Markov Games
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DOI: 10.1109/lcsys.2024.3510193
Abstract: Markov games provide a powerful framework for modeling strategic multi-agent interactions in dynamic environments. Traditionally, convergence properties of decentralized learning algorithms in these settings have been established only for special cases, such as Markov zero-sum… read more here.
Keywords: general sum; markov; markov games; actor critic ... 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
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Inequalities and Applications"
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
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;