Generic-case complexity is a subfield of computational complexity theory that studies the complexity of computational problems on "most inputs… (More)

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2015

2015

- Ilya Kapovich
- ArXiv
- 2015

We propose a more general definition of generic-case complexity, based on using a random process for generating inputs of an… (More)

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2014

2014

- Volker Diekert, Alexei G. Myasnikov, Armin Weiss
- Algorithmica
- 2014

The conjugacy problem asks whether two words over generators of a fixed group G are conjugated, i.e., it is the problem to decide… (More)

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2009

2009

- Alex D. Myasnikov
- Groups Complexity Cryptology
- 2009

Generic case complexity has originated about a decade ago in combinatorial group theory [10, 2]. This area has long computational… (More)

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2007

2007

This article is a short introduction to generic case complexity, which is a recently developed way of measuring the difficulty of… (More)

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2007

2007

- Alexander N. Rybalov
- Theory of Computing Systems
- 2007

Fischer and Rabin proved in (Proceedings of the SIAM-AMS Symposium in Applied Mathematics, vol. 7, pp. 27–41, 1974) that the… (More)

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Highly Cited

2004

Highly Cited

2004

- Worth Boone
- 2004

We give a precise definition of “generic-case complexity” and show that for a very large class of finitely generated groups the… (More)

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2003

2003

We prove that Whitehead’s algorithm for solving the automorphism problem in a fixed free group Fk has strongly linear time… (More)

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2002

2002

We give a precise definition of “generic-case complexity” and show that for a very large class of finitely generated groups the… (More)

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2002

2002

We investigate the average-case complexity of decision problems for finitely generated groups, in particular the word and… (More)

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2002

2002

- Pyotr S. Novikov
- 2002

We give a precise definition of “generic-case complexity” and show that for a very large class of finitely generated groups the… (More)

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