Unique representation bases for the integers

By Melvyn B. Nathanson. 2002

49 citations recorded by the source corpus.

Arbitrarily sparse sets A of integers are constructed with the property that every integer can be represented uniquely in the form n = a + a', where a and a' belong to the set A and a < a' or a = a'. Some related open problems are stated.

Subfields: Computer Vision and Pattern Recognition, Discrete Mathematics and Combinatorics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/7413e0419a5e0927f0a2b0ac38eda181c3ed925e