A Constraint Model for the Tree Decomposition of a Graph

August 07, 2019 · The Ethereal · 🏛 arXiv.org

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Authors Benjamin Bumpus, Patrick Prosser, James Trimble arXiv ID 1908.02530 Category cs.DM: Discrete Mathematics Cross-listed cs.CC, cs.DS Citations 0 Venue arXiv.org Last Checked 5 months ago
Abstract
We present a constraint model for the problem of producing a tree decomposition of a graph. The inputs to the model are a simple graph G, the number of nodes in the desired tree decomposition and the maximum cardinality of each node in that decomposition. Via a sequence of decision problems, the model allows us to find the tree width of a graph whilst delivering a tree decomposition of that width, i.e. a witness.
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