All Questions
3 questions
4
votes
1
answer
362
views
Lower bound on the number of solutions of 2SAT
To compute the number of solutions of a 2SAT is a hard problem. Is there some nontrivial lower or upper bound on this number in terms of a “coarse-grained” description of the Boolean formula, for ...
8
votes
0
answers
237
views
Size of 3-SAT assignments
Let $F(N,M)$ be the set of 3-SAT formula with $N$ variables and $M$ clauses. For a given formula $f\in F(N,M)$, we can ask for the set $s_f$ of truth assignments that satisfy $f$. (If $f$ is ...
6
votes
0
answers
154
views
Complexity of finding three perfect matchings with no edge in common in a bridgeless cubic graph
According to a conjecture:
Conjecture (Fan & Raspaud, 1994) Every bridgeless cubic graph contains three perfect matchings with no edge in common.
Equivalent statement here
Main question:
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