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...
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...
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...
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 ...
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...