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JSC
2008
55views more  JSC 2008»
13 years 5 months ago
Algorithms for a class of infinite permutation groups
Motivated by the famous 3n + 1 conjecture, we call a mapping from Z to Z residue-class-wise affine if there is a positive integer m such that it is affine on residue classes (mod m...
Stefan Kohl
SODA
2010
ACM
200views Algorithms» more  SODA 2010»
14 years 2 months ago
Algorithms for ray class groups and Hilbert class fields
This paper analyzes the complexity of problems from class field theory. Class field theory can be used to show the existence of infinite families of number fields with constant ro...
Sean Hallgren, Kirsten Eisentraeger
FOCS
2002
IEEE
13 years 10 months ago
Graph Isomorphism is in SPP
We show that Graph Isomorphism is in the complexity class SPP, and hence it is in ⊕P (in fact, it is in ModkP for each k ≥ 2). We derive this result as a corollary of a more g...
Vikraman Arvind, Piyush P. Kurur
CSR
2006
Springer
13 years 9 months ago
SZK Proofs for Black-Box Group Problems
In this paper we classify several algorithmic problems in group theory in the classes PZK and SZK (problems with perfect/statistical zero-knowledge proofs respectively). Prior to ...
Vikraman Arvind, Bireswar Das
FSTTCS
2010
Springer
13 years 3 months ago
Colored Hypergraph Isomorphism is Fixed Parameter Tractable
We describe a fixed parameter tractable (fpt) algorithm for Colored Hypergraph Isomorphism which has running time 2O(b) NO(1) , where the parameter b is the maximum size of the col...
Vikraman Arvind, Bireswar Das, Johannes Köble...