On extensions of D(4)-triples by adjoining smaller elements

2023/06/01 by Marija Bliznac Trebješanin, Trebješanin, Marija Bliznac, Pavao Radić +1
Engineering · Mathematics · #11B37 #11D09 #11J68 #FOS: Mathematics #Mathematics and Applications #Number Theory (math.NT) #Rings, Modules, and Algebras #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2306.00850

openalex publication_date 2023/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper examines the problem of obtaining a D(4)-quadruple by adding a smaller element to a D(4)-triple. We prove some relations between elements of observed hypothetical D(4)-quadruples under which conjecture of the uniqueness of such an extension holds. Also, it is shown that for any D(4)-triple there are at most two extensions with a smaller element.

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