Additive closedness in subsets of Zn

R. Nithish Kumar; G. R. Vadiraja Bhatta; Prasanna Poojary

doi:10.22049/cco.2024.29160.1875

Additive closedness in subsets of Z_n

R. Nithish Kumar
, G. R. Vadiraja Bhatta^*
, Prasanna Poojary

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

The r-value in subsets of finite abelian groups serves as a metric for evaluating the degree of closedness within these subsets. The notion of the r-value is intricately linked to other mathematical constructs such as sum-free sets, Sidon sets, and Schur triples. We extend the definition of r-value of a subset in a finite abelian group and investigate the r-values of subsets of Z_n, by constructing a formula for r-values of intervals consist of consecutive residue classes modulo n.

Original language	English
Pages (from-to)	487-501
Number of pages	15
Journal	Communications in Combinatorics and Optimization
Volume	11
Issue number	2
DOIs	https://doi.org/10.22049/cco.2024.29160.1875
Publication status	Published - 06-2026

All Science Journal Classification (ASJC) codes

Discrete Mathematics and Combinatorics
Control and Optimization

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Additive closedness in subsets of Z_n

Abstract

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