The extension of some D(4)-pairs
Alan Filipin

TL;DR
This paper demonstrates that certain D(4)-triples can be uniquely extended to quadruples and cannot be extended further to quintuples within specific bounds, advancing understanding of D(4)-pair extensions.
Contribution
It proves the uniqueness of D(4)-triple extensions to quadruples and establishes bounds preventing extension to quintuples.
Findings
Unique extension of D(4)-triples to quadruples within bounds.
D(4)-pairs cannot be extended to quintuples under certain conditions.
Provides bounds for extension possibilities of D(4)-pairs.
Abstract
In this paper we illustrate the use of the results from [1] proving that -triple with has a unique extension to a quadruple with a larger element. This furthermore implies that -pair cannot be extended to a quintuple if .
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Taxonomy
Topicsgraph theory and CDMA systems · Finite Group Theory Research · Mathematics and Applications
