Work

Existence of a Sidon set for the distinct distance constant

Year: 2026

Type: article

Abstract: We highlight a certain compactness of Sidon sets and $$B_2[g]$$ B 2 [ g ] -sets and provide several applications. Notably, we prove the existence of such sets that maximize certain functions. In particular, we show the existence of a Sidon set whose reciprocal sum is equal to the distinct distance constant. We also improve the best known bounds for this constant.

Source: Acta Mathematica Academiae Scientiarum Hungaricae

DOI: 10.1007/s10474-026-01604-z

Authors: Robin Riblet, Titien Schehr

Institution: Centre Borelli

Language: English

Topic: Limits and Structures in Graph Theory

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

OpenAlex ID: W4415036330