On a generalization of a theorem by Vosper.
On a new family of generalized Stirling and Bell numbers.
On a problem of Davenport and Schinzel
On a problem of Konyagin
On a problem of Steinhaus concerning binary sequences.
On a question regarding visibility of lattice points, II
On additive bases
On additive bases II
Let G be an additive finite abelian group, and let S be a sequence over G. We say that S is regular if for every proper subgroup H ⊆ G, S contains at most |H|-1 terms from H. Let ₀(G) be the smallest integer t such that every regular sequence S over G of length |S| ≥ t forms an additive basis of G, i.e., every element of G can be expressed as the sum over a nonempty subsequence of S. The constant ₀(G) has been determined previously only for the elementary abelian groups. In this paper, we determine...
On an extension of a theorem of Schur
On an integer sequence related to a product of trigonometric functions, and its combinatorial relevance.
On constant-weight TSP-tours
Is it possible to label the edges of Kₙ with distinct integer weights so that every Hamilton cycle has the same total weight? We give a local condition characterizing the labellings that witness this question's perhaps surprising affirmative answer. More generally, we address the question that arises when "Hamilton cycle" is replaced by "k-factor" for nonnegative integers k. Such edge-labellings are in correspondence with certain vertex-labellings, and the link allows us to determine (up to a constant...
On covers of abelian groups by cosets
On cycles in the coprime graph of integers.
On Erdős-Ginzburg-Ziv inverse theorems
On finite pattern-free sets of integers
On generalizing the Connell sequence.
On -Thin Sets and -Extensive Graphs
On monochromatic sets of integers whose diameters form a monotone sequence.
On monochromatic solutions of equations in groups.
On monochromatic subsets of a rectangular grid.