Maximal sum-free sets of integer lattice grids

Christian Elsholtz, Laurence Rackham

Type: Article

Publication Date: 2017-01-09

Citations: 6

DOI: https://doi.org/10.1112/jlms.12006

View Publication

Locations

Journal of the London Mathematical Society - View

Similar Works

Action	Title	Year	Authors
+	Size of the largest sum-free subset of $[n]^3$, $[n]^4$, and $[n]^5$	2023	Saba Lepsveridze Yihang Sun
+	Shape of the asymptotic maximum sum-free sets in integer lattice grids	2021	Hong Liu Guanghui Wang Laurence Wilkies Donglei Yang
+ PDF Chat	Shape of the asymptotic maximum sum-free sets in integer lattice grids	2022	Hong Liu Guanghui Wang Laurence Wilkes Donglei Yang
+ PDF Chat	Maximum $k$-Sum $\mathbf{n}$-Free Sets of the 2-Dimensional Integer Lattice	2020	Ilkyoo Choi Ringi Kim Boram Park
+	Maximum $k$-sum $\mathbf{n}$-free sets of the 2-dimensional integer lattice	2019	Ilkyoo Choi Ringi Kim Boram Park
+	Maximum $k$-sum $\mathbf{n}$-free sets of the 2-dimensional integer lattice	2019	Ilkyoo Choi Ringi Kim Boram Park
+	The number of maximal sum-free subsets of integers	2014	József Balogh Hong Liu Maryam Sharifzadeh Andrew Treglown
+	A note on the density of sum-free sets	1995	Tomasz Łuczak
+	The number of maximal sum-free subsets of integers	2014	József Balogh Hong Liu Maryam Sharifzadeh Andrew Treglown
+	Sharp bound on the number of maximal sum-free subsets of integers	2015	József Balogh Hong Liu Maryam Sharifzadeh Andrew Treglown
+ PDF Chat	On Maximal Sum-Free Sets in Abelian Groups	2022	Nathanaël Hassler Andrew Treglown
+	On the Number of Sum-Free Sets	1990	Neil J. Calkin
+ PDF Chat	A sharp bound on the number of maximal sum-free sets	2015	József Balogh Hong Liu Maryam Sharifzadeh Andrew Treglown
+	Groups with few maximal sum-free sets	2020	Hong Liu Maryam Sharifzadeh
+	The number of maximal sum-free subsets of integers	2015	József Balogh Hong Liu Maryam Sharifzadeh Andrew Treglown
+ PDF Chat	Sharp bound on the number of maximal sum-free subsets of integers	2018	József Balogh Hong Liu Maryam Sharifzadeh Andrew Treglown
+	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 structure of large sum-free sets of integers	2018	Tuan Tran
+	Lattice sums	1993	Martin T. Dove
+	On maximal sum-free sets in abelian groups	2021	Nathanaël Hassler Andrew Treglown

Works That Cite This (6)

Action	Title	Year	Authors
+	Shape of the asymptotic maximum sum-free sets in integer lattice grids	2021	Hong Liu Guanghui Wang Laurence Wilkies Donglei Yang
+ PDF Chat	Shape of the asymptotic maximum sum-free sets in integer lattice grids	2022	Hong Liu Guanghui Wang Laurence Wilkes Donglei Yang
+ PDF Chat	Caps and progression-free sets in $${{\mathbb {Z}}}_m^n$$	2020	Christian Elsholtz Péter Pál Pach
+	Maximum $k$-sum $\mathbf{n}$-free sets of the 2-dimensional integer lattice	2019	Ilkyoo Choi Ringi Kim Boram Park
+	Caps and progression-free sets in $\mathbb{Z}_m^n$	2019	Christian Elsholtz Péter Pál Pach
+ PDF Chat	Maximum $k$-Sum $\mathbf{n}$-Free Sets of the 2-Dimensional Integer Lattice	2020	Ilkyoo Choi Ringi Kim Boram Park

Works Cited by This (9)

Action	Title	Year	Authors
+ PDF Chat	On monochromatic solutions of equations in groups	2007	Peter J‎. Cameron Javier Cilleruelo Oriol Serra
+ PDF Chat	Maximal sum-free sets in finite abelian groups	1970	A. H. Rhemtulla Anne Street
+	On the Number of Sum-Free Sets	1990	Neil J. Calkin
+	Independent sets in regular graphs and sum-free subsets of finite groups	1991	Noga Alon
+ PDF Chat	Sum-free sets in abelian groups	2005	Ben Green Imre Z. Ruzsa
+ PDF Chat	Maximal sum-free sets of elements of finite groups	1969	P. H. Diananda Hian Poh Yap
+ PDF Chat	THE CAMERON–ERDOS CONJECTURE	2004	Ben Green
+	Research problems from the 19th British Combinatorial Conference	2005	Peter J‎. Cameron
+ PDF Chat	On sumfree subsets of hypercubes	2009	Daniel J. Katz