16 citations · 24 across the 12 of their papers we have counts for
13 papers
The numerical statistical fan for noisy experimental designs
Arkadius Kalka, Sonja Kuhnt
Identifiability of polynomial models is a key requirement for multiple regression. We consider an analogue of the so-called statistical fan, the set of all maximal identifiable hie…
Power commutator groups
Arkadius Kalka
We consider the class of finitely generated groups whose relators are powers of commutators of the generators. This class contains as a small subclass graph groups (also called RAA…
2-manifold recognition is in logspace
Benjamin A. Burton, Murray Elder, Arkadius Kalka +1
We prove that the homeomorphism problem for 2-manifolds can be decided in logspace. The proof relies on Reingold's logspace solution to the undirected -connectivity problem in…
Complete simultaneous conjugacy invariants in Artin's braid groups
Arkadius Kalka, Boaz Tsaban, Gary Vinokur
We solve the simultaneous conjugacy problem in Artin's braid groups and, more generally, in Garside groups, by means of a complete, effectively computable, finite invariant. This i…
Double coset problem for parabolic subgroups of braid groups
Arkadius Kalka, Mina Teicher, Boaz Tsaban
We solve the double coset problem for all parabolic subgroups of braid groups. The solution provides an effective reduction of this problem to the simultaneous conjugacy problem, a…
Non-associative key establishment protocols and their implementation
Arkadius Kalka, Mina Teicher
We provide implementation details for non-associative key establishment protocols. In particular, we describe the implementation of non-associative key establishment protocols for…