5 citations · 21 across the 28 of their papers we have counts for
8 papers · 1 filter
Comments on Y. O. Hamidoune's Paper "Adding Distinct Congruence Classes"
Béla Bajnok
The main result in Y.~O.~Hamidoune's paper "Adding Distinct Congruence Classes" ({\em Combin.~Probab.~Comput.}~{\bf 7} (1998) 81-87) is as follows: If is a generating subset of…
The "Thirty-seven Percent Rule" and the Secretary Problem with Relative Ranks
Béla Bajnok, Svetoslav Semov
We revisit the problem of selecting an item from choices that appear before us in random sequential order so as to minimize the expected rank of the item selected. In particula…
Spherical Designs and Generalized Sum-Free Sets in Abelian Groups
Béla Bajnok
We extend the concepts of sum-free sets and Sidon-sets of combinatorial number theory with the aim to provide explicit constructions for spherical designs. We call a subset of…
A Constructive Finite Field Method for Scattering Points on the Surface of -Dimensional Spheres
Béla Bajnok, Steven B. Damelin, Jenny Li +1
In this exploratory article, we present a constructive method for scattering points on the surface of dimensional spheres which we believe is new and of interest. Indeed, the p…
On Euclidean -designs
Béla Bajnok
A Euclidean -design, as introduced by Neumaier and Seidel (1988), is a finite set with a weight function f…
On the Minimum Width of a Cutset in the Truncated Boolean Lattice
Béla Bajnok
For integers , the truncated Boolean lattice is the poset of all subsets of which have size at least and…