Article ID Journal Published Year Pages File Type
429038 Information Processing Letters 2011 6 Pages PDF
Abstract

Holographic reduction is a powerful tool to divide a line between tractable cases and #P-hardness. Based on dichotomies of #CSP, Holant⁎ and Holantc problem, we succeed to give a dichotomy for some particular problems in Cai et al. (2008) [5] and Valiant (2004) [8].

► We prove #P-hardness for some counting problems. ► It is motivated by the holographic algorithm proposed by Valiant. ► As a result, we establish some dichotomies for these problems.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
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