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Effect of an edge subdivision on game domination numbers
Asian-European Journal of Mathematics, 2019Domination game is a game on a graph [Formula: see text] played by two players called Dominator and Staller. They alternately choose vertices of [Formula: see text] such that each move dominates at least one new undominated vertex. The game ends when all vertices are dominated.
Pakanun Dokyeesun +1 more
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3n − 5 Edges Do Force a Subdivision of $K_{5}$
Combinatorica, 1998It is shown that a graph on at least 3 vertices and with \(3n-5\) edges contains a subdivision of \(K_5\). This was conjectured by Dirac in 1964. The proof is fairly involved.
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Edge and vertex insertion for a class of \(C^{1}\) subdivision surfaces
Comput. Aided Geom. Des., 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ayman Habib 0002, Joe D. Warren
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On Valency-Based Molecular Topological Descriptors of Subdivision Vertex-Edge Join of Three Graphs
Symmetry, 2020Muhammad Imran +2 more
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Edge and vertex insertion for a class of subdivision surfaces
Computer Aided Geometric Design, 1999Joe Warren
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Spectra of Subdivision-Vertex Join and Subdivision-Edge Join of Two Graphs
Bulletin of the Malaysian Mathematical Sciences Society, 2017Xiaogang Liu, Zuhe Zhang
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Subdivision of Edges and Matching Size.
Ars Comb., 2007Douglas Bauer +2 more
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The Bounds on the Locating-Chromatic Number for a Subdivision of a Graph on One Edge
Procedia Computer Science, 2015Djoko Suprijanto +2 more
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