On a generalization of a theorem by Vosper.
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Displaying 1 – 20 of 58
On a new family of generalized Stirling and Bell numbers.
Mansour, Toufik, Schork, Matthias, Shattuck, Mark (2011)
The Electronic Journal of Combinatorics [electronic only]
On a problem of Davenport and Schinzel
E. Szemerédi (1974)
Acta Arithmetica
On a problem of Konyagin
Tomasz Łuczak, Tomasz Schoen (2008)
Acta Arithmetica
On a problem of Steinhaus concerning binary sequences.
Eliahou, Shalom, Hachez, Delphine (2004)
Experimental Mathematics
On a question regarding visibility of lattice points, II
Sukumar Das Adhikari, Yong-Gao Chen (1999)
Acta Arithmetica
On additive bases
W. Gao, Y. O. Hamidoune (1999)
Acta Arithmetica
On additive bases II
Weidong Gao, Dongchun Han, Guoyou Qian, Yongke Qu, Hanbin Zhang (2015)
Acta Arithmetica
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
Pierre Bornsztein (2002)
Acta Arithmetica
On an integer sequence related to a product of trigonometric functions, and its combinatorial relevance.
Andrica, Dorin, Tomescu, Ioan (2002)
Journal of Integer Sequences [electronic only]
On constant-weight TSP-tours
Scott Jones, P. Mark Kayll, Bojan Mohar, Walter D. Wallis (2003)
Discussiones Mathematicae Graph Theory
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
Günter Lettl, Zhi-Wei Sun (2008)
Acta Arithmetica
On cycles in the coprime graph of integers.
Erdős, Paul, Sarkozy, Gabor N. (1997)
The Electronic Journal of Combinatorics [electronic only]
On Erdős-Ginzburg-Ziv inverse theorems
D. J. Grynkiewicz, O. Ordaz, M. T. Varela, F. Villarroel (2007)
Acta Arithmetica
On finite pattern-free sets of integers
Karl Dilcher, Lutz G. Lucht (2006)
Acta Arithmetica
On generalizing the Connell sequence.
Iannucci, Douglas, Mills-Taylor, Donna (1999)
Journal of Integer Sequences [electronic only]
On -Thin Sets and -Extensive Graphs
Štefan Znám (1967)
Matematický časopis
On monochromatic sets of integers whose diameters form a monotone sequence.
Bialostocki, Arie, Wilson, Bryan (2009)
Integers
On monochromatic solutions of equations in groups.
P. Cameron, J. Cilleruelo, O. Serra (2007)
Revista Matemática Iberoamericana
On monochromatic subsets of a rectangular grid.
Axenovich, Maria, Manske, Jacob (2008)
Integers
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