Generic-case Complexity, Decision Problems in Group Theory and Random Walks
نویسنده
چکیده
We give a precise definition of “generic-case complexity” and show that for a very large class of finitely generated groups the classical decision problems of group theory the word, conjugacy and membership problems all have linear-time generic-case complexity. We prove such theorems by using the theory of random walks on regular graphs.
منابع مشابه
Generic-case Complexity, Decision Problems in Group Theory and Random Walks
We give a precise definition of “generic-case complexity” and show that for a very large class of finitely generated groups the classical decision problems of group theory the word, conjugacy and membership problems all have linear-time generic-case complexity. We prove such theorems by using the theory of random walks on regular
متن کاملGeneric-case complexity, decision problems in group theory and random walks
We give a precise definition of “generic-case complexity” and show that for a very large class of finitely generated groups the classical decision problems of group theory the word, conjugacy and membership problems all have linear-time generic-case complexity. We prove such theorems by using the theory of random walks on regular graphs.
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تاریخ انتشار 2002