Add to ORKGCameron and Erdős [6] raised the question of how many maximal sum-free sets there are in {1,..., n}, giving a lower bound of 2bn/4c. In this paper we prove that there are in fact at most 2(1/4+o(1))n maximal sum-free sets in {1,..., n}. Our proof makes use of container and removal lemmas of Green [8, 9] as well as a result of Deshouillers, Freiman, Sós and Temkin [7] on the structure of sum-free sets.
Let G be a group and S a non-empty subset of G. If ab / ∈ S for any a, b ∈ S, then S is called sum-f...
In this paper, we are interested in finite sum-free sets of maximum cardinality containing positive ...
AbstractA subset of the natural numbers isk-sum-free if it contains no solutions of the equationx1+…...
Cameron and Erdős [6] raised the question of how many maximal sum-free sets there are in {1,..., n}...
Cameron and Erdős [6] asked whether the number of maximal sum-free sets in { 1 , . . . , n } is much...
Cameron and Erdös have considered the question: how many sum-free sets are contained in the first n...
AbstractA subset A of integers is said to be sum-free if a+b∉A for any a,b∈A. Let s(n) be the number...
Abstract. In this paper we study sum-free subsets of the set {1,..., n}, that is, subsets of the fir...
Abstract. In this paper we study sum-free subsets of the set {1,..., n}, that is, subsets of the fir...
If $k$ is a positive integer, we say that a set $A$ of positive integers is $k$-sum-free if there do...
Robert Morris and Wojciech Samotij In this paper, we study sum-free subsets of the set {1,..., n}, t...
Let M(2,1)(N) be the infimum of the largest sum-free subset of any set of N positive integers. An ol...
A set A of integers is said to be sum-free if there are no solutions to the equation x + y = z with ...
AbstractWe show that the number of maximal sum-free subsets of {1,2,…,n} is at most 23n/8+o(n). We a...
We give a brief survey on sum-free subsets of the natural numbers, highlighting recent results which...
Let G be a group and S a non-empty subset of G. If ab / ∈ S for any a, b ∈ S, then S is called sum-f...
In this paper, we are interested in finite sum-free sets of maximum cardinality containing positive ...
AbstractA subset of the natural numbers isk-sum-free if it contains no solutions of the equationx1+…...
Cameron and Erdős [6] raised the question of how many maximal sum-free sets there are in {1,..., n}...
Cameron and Erdős [6] asked whether the number of maximal sum-free sets in { 1 , . . . , n } is much...
Cameron and Erdös have considered the question: how many sum-free sets are contained in the first n...
AbstractA subset A of integers is said to be sum-free if a+b∉A for any a,b∈A. Let s(n) be the number...
Abstract. In this paper we study sum-free subsets of the set {1,..., n}, that is, subsets of the fir...
Abstract. In this paper we study sum-free subsets of the set {1,..., n}, that is, subsets of the fir...
If $k$ is a positive integer, we say that a set $A$ of positive integers is $k$-sum-free if there do...
Robert Morris and Wojciech Samotij In this paper, we study sum-free subsets of the set {1,..., n}, t...
Let M(2,1)(N) be the infimum of the largest sum-free subset of any set of N positive integers. An ol...
A set A of integers is said to be sum-free if there are no solutions to the equation x + y = z with ...
AbstractWe show that the number of maximal sum-free subsets of {1,2,…,n} is at most 23n/8+o(n). We a...
We give a brief survey on sum-free subsets of the natural numbers, highlighting recent results which...
Let G be a group and S a non-empty subset of G. If ab / ∈ S for any a, b ∈ S, then S is called sum-f...
In this paper, we are interested in finite sum-free sets of maximum cardinality containing positive ...
AbstractA subset of the natural numbers isk-sum-free if it contains no solutions of the equationx1+…...