A class of extended triple systems and numbers of common triples.

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1995 Italy Publisher:University of Queensland, Centre for Discrete Mathematics and Computing, Brisbane, QLD; Published for the Combinatorial Mathematics Society of AustralasiaJournal:Australas. J Comb., volume 12, pages 209-224

Authors: LO FARO, Giovanni;

handle: 11570/2036505

A class of extended triple systems and numbers of common triples.

- Summary
- Subjects
- Metrics

Abstract

The author studies the case when two extended triple systems have exactly \(k\) blocks in common. Let \(I(v)= \{0,1,\dots, S_v- 3, S_v\}\) where \(S_v= v(v+ 3)/6\) is the number of blocks in an extended triple system. Let \(J(v)\) be the set of integers \(k\) such that there exist two triple systems with \(k\) blocks in common. Then \(J(9)= I(9)- 13\), and \(J(v)= I(v)\) for \(v\neq 9\).

Country

Italy

Related Organizations

University of Messina
Italy

Keywords

triple systems, Triple systems

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	0
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average