Beyond Hypertree Width: Decomposition Methods Without Decompositions

Hubie Chen; Victor Dalmau

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Beyond Hypertree Width: Decomposition Methods Without Decompositions

Hubie Chen·Victor Dalmau

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Abstract

The general intractability of the constraint satisfaction problem has motivated the study of restrictions on this problem that permit polynomial-time solvability. One major line of work has focused on structural restrictions, which arise from restricting the interaction among constraint scopes. In this paper, we engage in a mathematical investigation of generalized hypertree width, a structural measure that has up to recently eluded study. We obtain a number of computational results, including a simple proof of the tractability of CSP instances having bounded generalized hypertree width.

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Hubie Chen, Victor Dalmau. 2005-05-12. Beyond Hypertree Width: Decomposition Methods Without Decompositions. https://arxiv.org/abs/cs/0505035

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