Keszler, Anita and Tuza, Zsolt (2024) Hypercycle systems from semi-parallel classes. AUSTRALASIAN JOURNAL OF COMBINATORICS, 90 (2). pp. 262-280. ISSN 1034-4942

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Abstract

A 3-uniform 5-cycle C(3, 5), sometimes called a tight 5-cycle, consists of five vertices a,b,c,d,e and five 3-element sets abc, bcd, cde, dea, eab. A hypercycle system C(3, 5, v) is a decomposition of the family of 3-element subsets of a v-element set in such a way that each part is isomorphic to C(3,5) and each 3-set occurs in precisely one part. In this note we show a principle of recursion which can be used to build systems C(3,5,4v +1) and C(3,5,9v +1), and possibly more, when a certain kind of structural property is satisfied. © The author(s).

Item Type:	Article
Subjects:	Q Science > QA Mathematics and Computer Science > QA75 Electronic computers. Computer science / számítástechnika, számítógéptudomány
Divisions:	Distributed Events Analysis Research Laboratory
SWORD Depositor:	MTMT Injector
Depositing User:	MTMT Injector
Date Deposited:	17 Jan 2025 07:26
Last Modified:	17 Jan 2025 07:26
URI:	https://eprints.sztaki.hu/id/eprint/10862

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