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A note on random 2-SAT with prescribed literal degrees

Cooper, Colin, Frieze, Alan and Sorkin, Gregory B. (2002) A note on random 2-SAT with prescribed literal degrees. In: Thirteenth Annual ACM-SIAM Symposium on Discrete Algorithms , 6-8 January 2002, San Francisco, CA, USA.

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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 almost-sure satisfiability or unsatisfiability of a random 2-SAT formula to an analogous property of a prescribed literal sequence.

Item Type: Conference or Workshop Item (Paper)
Official URL: http://www.siam.org/meetings/da02/
Additional Information: © The Authors
Library of Congress subject classification: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
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 May 2011 12:48
URL: http://eprints.lse.ac.uk/35820/

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