On Optimal M-Sets Related to Motzkin’s Problem

Quan-Hui Yang, Ting Pan, Jian-Dong Wu and Li Guo

Journal of Mathematics, 2020, vol. 2020, 1-5

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.

Date: 2020
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2020/7457625.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2020/7457625.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:7457625

DOI: 10.1155/2020/7457625

Access Statistics for this article

More articles in Journal of Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().