Title
Geometric properties of satisfying assignments of random $\epsilon$-1-in-k SAT
Abstract
We study the geometric structure of the set of solutions of random ǫ-1-in-k SAT problem (2, 15). For l � 1, two satisfying assignments A and B are l-connected if there exists a sequence of satisfying assignments connecting them by changing at most l bits at a time. We first prove that w.h.p. two assignments of a random ǫ-1-in-k SAT instance are O(log n)-connected, conditional on being satisfying assign- ments. Also, there exists ǫ0 2 (0, 1
Year
Venue
Keywords
2008
International Journal of Computer Mathematics
overlaps,phase transition. ams categories: primary 68q25,random graphs,secondary 82b27.,ǫ-1-in-k sat,satisfiability
Field
DocType
Volume
Discrete mathematics,Binary logarithm,#SAT,Combinatorics,Mathematical optimization,Random graph,Existential quantification,Mathematical analysis,Sat problem,Mathematics,Computational complexity theory
Journal
abs/0811.3
ISSN
Citations 
PageRank 
International Journal of Computer Mathematics, 86(12), pp. 2029-2039, 2009
0
0.34
References 
Authors
7
2
Name
Order
Citations
PageRank
Gabriel Istrate19924.96
vasile parvan200.34