A hybrid search algorithm for the Whitehead Minimization problem
نویسندگان
چکیده
منابع مشابه
A hybrid search algorithm for the Whitehead Minimization problem
The Whitehead Minimization problem is a problem of finding elements of the minimal length in the automorphic orbit of a given element of a free group. The classical algorithm of Whitehead that solves the problem depends exponentially on the group rank. Moreover, it can be easily shown that exponential blowout occurs when a word of minimal length has been reached and, therefore, is inevitable ex...
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15 صفحه اولHeuristics for the Whitehead Minimization Problem
In this paper we discuss several heuristic strategies which allow one to solve the Whitehead’s minimization problem much faster (on most inputs) than the classical Whitehead algorithm. The mere fact that these strategies work in practice leads to several interesting mathematical conjectures. In particular, we conjecture that the length of most non-minimal elements in a free group can be reduced...
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ژورنال
عنوان ژورنال: Journal of Symbolic Computation
سال: 2006
ISSN: 0747-7171
DOI: 10.1016/j.jsc.2006.04.001