Work

A Ramsey-type property in additive number theory

Year: 1985

Type: article

Abstract: Let A be a sequence of positive integers. Define P(A) to be the set of all integers representable as a sum of distinct terms of A. Note that if A contains a repeated value, we are free to use it as many times as it occurs in A. We call A complete if every sufficiently large positive integer is in P(A), and entirely complete if every positive integer is in P(A). Completeness properties have received considerable, if somewhat sporadic, attention over the years. See Chapter 6 of [3] for a survey.

Source: Glasgow Mathematical Journal

DOI: 10.1017/s0017089500006029

Authors: S. A. Burr, P. Erdös

Institutions: City College of New York, City University of New York, Hungarian Academy of Sciences

Language: English

Topic: Limits and Structures in Graph Theory

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W2043381187

FWCI:

Cites: 4

Cited by: 4

Related to: 9