The number of maximal sum-free subsets of integers

József Balogh, Hong Liu, Maryam Sharifzadeh, Andrew Treglown

Type: Article

Publication Date: 2015-04-02

Citations: 33

DOI: https://doi.org/10.1090/s0002-9939-2015-12615-9

View Publication

Locations

Proceedings of the American Mathematical Society - View
arXiv (Cornell University) - View - PDF
CiteSeer X (The Pennsylvania State University) - View - PDF
University of Birmingham Research Portal (University of Birmingham) - View - PDF

Similar Works

Action	Title	Year	Authors
+	On the number of maximal sum-free sets	2000	Tomasz Łuczak Tomasz Schoen
+	The number of maximal sum-free subsets of integers	2014	József Balogh Hong Liu Maryam Sharifzadeh Andrew Treglown
+	The number of maximal sum-free subsets of integers	2014	József Balogh Hong Liu Maryam Sharifzadeh Andrew Treglown
+ PDF Chat	Sum-free sets of integers	1977	H. L. Abbott E. T. H. Wang
+ PDF Chat	Maximal Midpoint-Free Subsets of Integers	2015	Roger B. Eggleton
+ PDF Chat	A note on sum-free sets of integers	1980	Mên Ch’ang Hu
+ PDF Chat	Integer sets with distinct subset-sums	1988	W. F. Lunnon
+ PDF Chat	Sum-free sets of integers	1966	Leo Moser H. L. Abbott
+	Sharp bound on the number of maximal sum-free subsets of integers	2015	József Balogh Hong Liu Maryam Sharifzadeh Andrew Treglown
+ PDF Chat	The structure of higher sumsets	2022	Vsevolod F. Lev
+	Sharp bound on the number of maximal sum-free subsets of integers	2015	József Balogh Hong Liu Maryam Sharifzadeh Andrew Treglown
+ PDF Chat	On the Schnirelmann density of the 𝑘-free integers	1977	P. H. Diananda M. V. Subbarao
+ PDF Chat	A sum packing problem of Erdös and the Conway-Guy sequence	1996	Tom Bohman
+	Sums of finite subsets in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi></mml:mrow></mml:msup></mml:math>	2018	Mario Huicochea
+	Almost all sets of nonnegative integers and their small perturbations are not sumsets	2023	Paolo Leonetti
+	Unification of zero-sum problems, subset sums and covers of ℤ	2003	Zhi‐Wei Sun
+	On sums and products of integers	1999	Yong-Gao Chen
+	On Sum-free Sets of Natural Numbers	1995	Tomasz Łuczak
+	Infinite sumsets in sets with positive density	2023	Bryna Kra Joel Moreira Florian Richter Donald Robertson
+ PDF Chat	A sharp bound on the number of maximal sum-free sets	2015	József Balogh Hong Liu Maryam Sharifzadeh Andrew Treglown

Works That Cite This (34)

Action	Title	Year	Authors
+ PDF Chat	The Number of Subsets of Integers with No<i>k</i>-Term Arithmetic Progression	2016	József Balogh Hong Liu Maryam Sharifzadeh
+ PDF Chat	Enumerating solution-free sets in the integers	2016	Robert Hancock Andrew Treglown
+	Independence and counting problems in Combinatorics and Number theory	2019	Robert Arthur Hancock
+	Groups with few maximal sum-free sets	2020	Hong Liu Maryam Sharifzadeh
+	The number of multiplicative Sidon sets of integers	2019	Hong Liu Péter Pál Pach
+	Counting Gallai 3-colorings of complete graphs	2019	Josefran de Oliveira Bastos Fabrício Benevides Guilherme Oliveira Mota Ignasi Sau
+	On solution-free sets of integers	2017	Robert Hancock Andrew Treglown
+	Random and deterministic versions of extremal poset problems	2016	Kirsten Hogenson
+ PDF Chat	On the structure of large sum-free sets of integers	2018	Tuan Tran
+ PDF Chat	A sharp bound on the number of maximal sum-free sets	2015	József Balogh Hong Liu Maryam Sharifzadeh Andrew Treglown

Works Cited by This (17)

Action	Title	Year	Authors
+	Sharp bound on the number of maximal sum-free subsets of integers	2015	József Balogh Hong Liu Maryam Sharifzadeh Andrew Treglown
+	On the number of maximal sum-free sets	2000	Tomasz Łuczak Tomasz Schoen
+	A Szemeredi-type regularity lemma in abelian groups	2003	Ben Green
+	Bounds on the number of maximal sum-free sets	2009	Guy Wolfovitz
+	The number of independent sets in graphs	2007	А. А. Сапоженко
+	Counting sumsets and sum-free sets modulo a prime	2004	Ben Green Imre Z. Ruzsa
+	On cliques in graphs	1965	J. W. Moon Leo Moser
+	A Szemeredi-type regularity lemma in abelian groups, with applications	2003	Ben Green
+	Independent sets in hypergraphs	2014	József Balogh Robert Morris Wojciech Samotij
+	The Number of Maximal Independent Sets in Triangle-Free Graphs	1993	Mihály Hujtera Źsolt Tuza