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arXiv · 1111.1060

Computing a Knot Invariant as a Constraint Satisfaction Problem

Chihiro H. Nakajima·Takahiro Sakaue
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Abstract

We point out the connection between mathematical knot theory and spin glass/search problem. In particular, we present a statistical mechanical formulation of the problem of computing a knot invariant; p-colorability problem, which provides an algorithm to find the solution. The method also allows one to get some deeper insight into the structural complexity of knots, which is expected to be related with the landscape structure of constraint satisfaction problem.

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Chihiro H. Nakajima, Takahiro Sakaue. 2011-11-04. Computing a Knot Invariant as a Constraint Satisfaction Problem. https://doi.org/10.1143/jpsj.81.035001

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