A complete annotated bibliography of work related to Sidon sequences
K O'Bryant - arXiv preprint math/0407117, 2004 - arxiv.org
arXiv:math/0407117v1 [math.NT] 8 Jul 2004 A Complete Annotated Bibliography of Work
Related to Sidon Sequences Page 1 arXiv:math/0407117v1 [math.NT] 8 Jul 2004 A Complete …
Related to Sidon Sequences Page 1 arXiv:math/0407117v1 [math.NT] 8 Jul 2004 A Complete …
Rainbow arithmetic progressions and anti-Ramsey results
V Jungic, J Licht, M Mahdian, J Nesetril… - Combinatorics …, 2003 - cambridge.org
The van der Waerden theorem in Ramsey theory states that, for every k and t and sufficiently
large N, every k-colouring of [N] contains a monochromatic arithmetic progression of length t …
large N, every k-colouring of [N] contains a monochromatic arithmetic progression of length t …
[PDF][PDF] Rainbow Ramsey theory
V Jungic, J Nešetril, R Radoicic - Integers: Electronic Journal of …, 2005 - math.colgate.edu
This paper presents an overview of the current state in research directions in the rainbow
Ramsey theory. We list results, problems, and conjectures related to existence of rainbow …
Ramsey theory. We list results, problems, and conjectures related to existence of rainbow …
A step beyond Kemperman's structure theorem
DJ Grynkiewicz - Mathematika, 2009 - cambridge.org
A Step Beyond Kemperman's Structure Theorem Page 1 A STEP BEYOND KEMPERMAN’S
STRUCTURE THEOREM DAVID J. GRYNKIEWICZ Abstract. We extend Kemperman’s structure …
STRUCTURE THEOREM DAVID J. GRYNKIEWICZ Abstract. We extend Kemperman’s structure …
Large sets with small doubling modulo are well covered by an arithmetic progression
| 2S|⩽ 3| S|− 4 then S is contained in an arithmetic progression of length| 2S|−| S|+ 1. This
result is often known as Freiman's (3k− 4)–Theorem. It has been conjectured that the same …
result is often known as Freiman's (3k− 4)–Theorem. It has been conjectured that the same …
Some additive applications of the isoperimetric approach
YO Hamidoune - Annales de l'Institut Fourier, 2008 - numdam.org
Let G be a group and let X be a finite subset. The isoperimetric method investigates the
objective function|(XB)\X|, defined on the subsets X with| X|⩾ k and| G\(XB)|⩾ k, where XB is …
objective function|(XB)\X|, defined on the subsets X with| X|⩾ k and| G\(XB)|⩾ k, where XB is …
The Theorem modulo a Prime: High Density for
DJ Grynkiewicz - arXiv preprint arXiv:2402.15028, 2024 - arxiv.org
The $3 k-4$ Theorem asserts that, if $ A,\, B\subseteq\mathbb Z $ are finite, nonempty
subsets with $| A|\geq| B| $ and $| A+ B|=| A|+| B|+ r<| A|+ 2| B|-3$, then there are arithmetic …
subsets with $| A|\geq| B| $ and $| A+ B|=| A|+| B|+ r<| A|+ 2| B|-3$, then there are arithmetic …
An isoperimetric method for the small sumset problem.
O Serra - BCC, 2005 - books.google.com
The purpose of this paper is to survey applications of an isoperimetric method to the small
sumset problem in Additive Theory. The small sumset problem asks for lower bounds of the …
sumset problem in Additive Theory. The small sumset problem asks for lower bounds of the …
On the critical pair theory in abelian groups: beyond Chowla's theorem
ON THE CRITICAL PAIR THEORY IN ABELIAN GROUPS: BEYOND CHOWLA’S THEOREM
Page 1 COMBINATORICA Bolyai Society – Springer-Verlag 0209–9683/108/$6.00 c 2008 …
Page 1 COMBINATORICA Bolyai Society – Springer-Verlag 0209–9683/108/$6.00 c 2008 …
The Inverse Erdős-Heilbronn Problem
The famous Erdős-Heilbronn conjecture (first proved by Dias da Silva and Hamidoune in
1994) asserts that if $ A $ is a subset of ${\Bbb Z}/p {\Bbb Z} $, the cyclic group of the …
1994) asserts that if $ A $ is a subset of ${\Bbb Z}/p {\Bbb Z} $, the cyclic group of the …