On additive partitions of integers (Q1245861)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On additive partitions of integers |
scientific article; zbMATH DE number 3585528
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On additive partitions of integers |
scientific article; zbMATH DE number 3585528 |
Statements
On additive partitions of integers (English)
0 references
1978
0 references
Let \(U=\{u_n\}\), \(u_{n+2}=u_{n+1}+u_n\), \(n\geq 1\), \(u_1=1\), \(u_2> u_1\), be a linear recurrence sequence. It is shown that the set of positive integers can be partitioned uniquely into two disjoint subsets such that the sum of any two distinct numbers from any one set can never be in \(U\). Generalizations, other related problems and graph theoretic interpretation are also discussed.
0 references
