(D(4)\)-triples with two largest elements in common

In this paper we consider two new conjectures concerning \(D(4)\)-quadruples and prove some special cases which support their validity. The main result is a proof that \(\{a,b,c\}\) and \(\{a+1,b,c\}\) cannot both be \(D(4)\)-triples.

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Bibliographic Details
Published in:arXiv.org 2022-02
Main Author: Trebješanin, Marija Bliznac
Format: Article
Language:English
Online Access:Get full text
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Description
Summary:In this paper we consider two new conjectures concerning \(D(4)\)-quadruples and prove some special cases which support their validity. The main result is a proof that \(\{a,b,c\}\) and \(\{a+1,b,c\}\) cannot both be \(D(4)\)-triples.
ISSN:2331-8422
DOI:10.48550/arxiv.2202.04924