No small nondeterministic read-once branching programs for CNFs of bounded treewidth

Igor Razgon

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arXiv · 1407.0491

No small nondeterministic read-once branching programs for CNFs of bounded treewidth

Igor Razgon

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Abstract

In this paper, given a parameter $k$, we demonstrate an infinite class of {\sc cnf}s of treewidth at most $k$ of their primary graphs such that the equivalent nondeterministic read-once branching programs ({\sc nrobp}s) are of size at least $n^{ck}$ for some universal constant $c$. Thus we rule out the possibility of fixed-parameter space complexity of {\sc nrobp}s parameterized by the smallest treewidth of the equivalent {\sc cnf}.

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BibTeX RIS

Igor Razgon. 2014-07-02. No small nondeterministic read-once branching programs for CNFs of bounded treewidth. https://arxiv.org/abs/1407.0491

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