5 citations · 21 across the 28 of their papers we have counts for
4 papers · 1 filter
On sumsets of nonbases of maximum size
Bela Bajnok, Peter Pal Pach
Let be a finite abelian group. A nonempty subset in is called a basis of order if ; when , it is called a nonbasis of order . Our interest is in…
On Perfect Bases in Finite Abelian Groups
Bela Bajnok, Connor Berson, Hoang Anh Just
Let be a finite abelian group and be a positive integer. A subset of is called a {\em perfect -basis of } if each element of can be written uniquely as th…
A Walk Through Some Newer Parts of Additive Combinatorics
Bela Bajnok
In this survey paper we discuss some recent results and related open questions in additive combinatorics, in particular, questions about sumsets in finite abelian groups.
Additive Combinatorics in Groups and Geometric Combinatorics on Spheres
Bela Bajnok
We embark on a tour that takes us through four closely related topics: the dual concepts of independence and spanning in finite abelian groups and the analogous dual concepts of de…