Title
A Linear Time Algorithm for Computing #2SAT for Outerplanar 2-CNF Formulas.
Abstract
Although the satisfiability problem for two Conjunctive Normal Form formulas (2SAT) is polynomial time solvable, it is well known that #2SAT, the counting version of 2SAT is # P-Complete. However, it has been shown that for certain classes of formulas, #2SAT can be computed in polynomial time. In this paper we show another class of formulas for which #2SAT can also be computed in lineal time, the so called outerplanar formulas, e. g. formulas whose signed primal graph is outerplanar. Our algorithm's time complexity is given by O(n+ m) where n is the number of variables and m the number of clauses of the formula.
Year
DOI
Venue
2018
10.1007/978-3-319-92198-3_8
PATTERN RECOGNITION
Field
DocType
Volume
Graph,Computer science,Boolean satisfiability problem,Algorithm,Conjunctive normal form,Time complexity
Conference
10880
ISSN
Citations 
PageRank 
0302-9743
0
0.34
References 
Authors
7
4
Name
Order
Citations
PageRank
Marco A. López117121.03
José Raymundo Marcial-Romero2512.87
Guillermo De Ita Luna32916.57
Yolanda Moyao412.32