2011

An extension of the Moser-Tardos algorithmic local lemma

Pegden, Wesley

Understand

A recent theorem of Bissacot, et al.

  • proved using results about the cluster expansion in statistical mechanics extends the Lov\'asz Local Lemma by weakening the conditions under which its conclusions holds.
  • In this note, we prove an algorithmic analog of this result, extending Moser and Tardos's recent algorithmic Local Lemma, and providing an alternative proof of the theorem of Bissacot, et al.
  • applicable in the Moser-Tardos algorithmic framework.

Built on

  • P. Erdős and L. Lovász. Problems and results on 3-chromatic hypergraphs and some related questions, in Infinite and Finite sets

    1975

    Earlier work this paper cites.

  • J. Shearer. On a problem of Spencer, Combinatorica

    1985

    Earlier work this paper cites.

  • N. Alon. A parallel algorithmic version of the local lemma, Random Structures and Algorithms

    1991

    Earlier work this paper cites.

  • Jószef Beck. An Algorithmic Approach to the Lovász Local Lemma, Random Structures and Algorithms 2

    1991

    Earlier work this paper cites.

Similar

Then

  • R. Fernandez, A. Procacci. Cluster expansion for abstract polymer models: New bounds from an old approach. Communications in Mathematical Physics

    2007

    Later among the works it cites.

  • A. Srinivasan. Improved algorithmic versions of the Lovász Local Lemma, Proceedings of the nineteenth annual ACM-SIAM symposium on Discrete algorithms (SODA)

    2008

    Later among the works it cites.

  • K. Kolipaka, M. Szegedy. Moser and Tardos meet Lovász. Manuscript (2010)

    2010

    Later among the works it cites.

  • R. Moser and G. Tardos. A constructive proof of the general Lovász Local Lemma, J. ACM

    2010

    Later among the works it cites.

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