English

Beyond Hypertree Width: Decomposition Methods Without Decompositions

Computational Complexity 2007-05-23 v1 Artificial Intelligence

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.

Keywords

Cite

@article{arxiv.cs/0505035,
  title  = {Beyond Hypertree Width: Decomposition Methods Without Decompositions},
  author = {Hubie Chen and Victor Dalmau},
  journal= {arXiv preprint arXiv:cs/0505035},
  year   = {2007}
}