descriptionPublicationkeyboard_double_arrow_right Article 24 Dec 2020 English Publisher:WileyJournal:Journal of Mathematics, volume 2,020, pages 1-5 (issn: 2314-4629, eissn: 2314-4785,

Authors: Quan-Hui Yang; Ting Pan; Jian-Dong Wu;

doi: 10.1155/2020/7457625

On Optimal M-Sets Related to Motzkin’s Problem

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Abstract

Let M be a set of positive integers. A set S of nonnegative integers is called an M ‐ set if a and b ∈ S , then a − b ∉ M . If S ⊆ 0,1 , … , n is an M − set with the maximal cardinality, then S is called a maximal M − set of 0,1 , … , n . If S ∩ 0,1 , … , n is a maximal M − set of 0,1 , … , n for all integers n ≥ 0 , then we call S an optimal M − set. In this paper, we study the existence of an optimal M − set.

Related Organizations

Nanjing Normal University
China (People's Republic of)
Nanjing Normal University
China (People's Republic of)
Nanjing University of Information Science and Technology
China (People's Republic of)

Keywords

Additive bases, including sumsets, QA1-939, Mathematics

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