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Random 2-SAT with prescribed literal degrees

Cooper, Colin , Frieze, Alan and Sorkin, Gregory B. (2007) Random 2-SAT with prescribed literal degrees. Algorithmica , 48 (3). pp. 249-265. ISSN 0178-4617

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Abstract

Two classic “phase transitions” in discrete mathematics are the emergence of a giant component in a random graph as the density of edges increases, and the transition of a random 2-SAT formula from satisfiable to unsatisfiable as the density of clauses increases. The random-graph result has been extended to the case of prescribed degree sequences, where the almost-sure nonexistence or existence of a giant component is related to a simple property of the degree sequence.We similarly extend the satisfiability result, by relating the almostsure satisfiability or unsatisfiability of a random 2-SAT formula to an analogous property of its prescribed literal-degree sequence. The extension has proved useful in analyzing literal-degree-based algorithms for (uniform) random 3-SAT.

Item Type: Article
Official URL: http://www.springer.com/computer/theoretical+compu...
Additional Information: © 2007 Springer Science+Business Media, Inc.
Library of Congress subject classification: Q Science > QA Mathematics
Sets: Research centres and groups > Management Science Group
Departments > Management
Rights: http://www.lse.ac.uk/library/usingTheLibrary/academicSupport/OA/depositYourResearch.aspx
Date Deposited: 13 Apr 2011 15:17
URL: http://eprints.lse.ac.uk/35432/

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