Back to Search
Start Over
On Optimal M-Sets Related to Motzkin’s Problem
On Optimal M-Sets Related to Motzkin’s Problem
- Source :
- Journal of Mathematics, Vol 2020 (2020)
- Publication Year :
- 2020
- Publisher :
- Hindawi Limited, 2020.
-
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.
- Subjects :
- Mathematics
QA1-939
Subjects
Details
- Language :
- English
- ISSN :
- 23144629 and 23144785
- Volume :
- 2020
- Database :
- Directory of Open Access Journals
- Journal :
- Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.bff936596f14002b4b6a914fe7b0d61
- Document Type :
- article
- Full Text :
- https://doi.org/10.1155/2020/7457625