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A note on random 2-SAT with prescribed literal degrees

Cooper, Colin, Frieze, Alan and Sorkin, Gregory B. ORCID: 0000-0003-4935-7820 (2002) A note on random 2-SAT with prescribed literal degrees. In: Thirteenth Annual ACM-SIAM Symposium on Discrete Algorithms, 2002-01-06 - 2002-01-08, CA, United States, USA.

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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:
Additional Information: © The Authors
Divisions: Management
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Date Deposited: 13 May 2011 12:48
Last Modified: 16 May 2024 10:57

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