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arXiv · 1908.02530

A Constraint Model for the Tree Decomposition of a Graph

Benjamin Bumpus·Patrick Prosser·James Trimble
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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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Benjamin Bumpus, Patrick Prosser, James Trimble. 2019-08-07. A Constraint Model for the Tree Decomposition of a Graph. https://arxiv.org/abs/1908.02530

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