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Algorithms for Generating Strongly Chordal Graphs
Lecture Notes in Computer Science, 2021Graph generation serves many useful purposes: cataloguing, testing conjectures, to which we would like to add that of producing test instances for graph algorithms. Strongly chordal graphs are a subclass of chordal graphs for which polynomial-time algorithms could be designed for problems which are NP-complete for the parent class of chordal graphs. In
Asish Mukhopadhyay, Mukhopadhyay Asish
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Broadcast domination and multipacking in strongly chordal graphs
Discrete Applied Mathematics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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-labeling of dually chordal graphs and strongly orderable graphs
Information Processing Letters, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Summary: We study the parameterized complexity of three NP-hard graph completion problems. The minimum fill-in problem asks if a graph can be triangulated by adding at most \(k\) edges. We develop \(O(c^k m)\) and \(O(k^2 mn+f(k))\) algorithms for this problem on a graph with \(n\) vertices and \(m\) edges. Here \(f(k)\) is exponential in \(k\) and the
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