TITLE:
Algorithms for Computing Some Invariants for Discrete Knots
AUTHORS:
Gabriela Hinojosa, David Torres, Rogelio Valdez
KEYWORDS:
Cubic Knots; Discrete Knots; Algorithms
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.11,
November
5,
2013
ABSTRACT: Given a cubic knot K, there exists a projection of the Euclidean space R3onto a suitable plane such that p(K) is a knot diagram and it can be described in a discrete way as a cycle permutation. Using this fact, we develop an algorithm for computing some invariants for K: its fundamental group, the genus of its Seifert surface and its Jones polynomial.