Extending the Concept of Decomposability for Triple Systems

C. J. Colbourn; E. Mendelsohn; A. Rosa

doi:10.1016/S0167-5060(08)70230-9

Extending the Concept of Decomposability for Triple Systems

C. J. Colbourn, E. Mendelsohn, A. Rosa

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

A triple system of order ν and index λ is MPT-decomposable if it contains λ pairwise disjoint maximum packings of triples (MPT) of order ν, and it is MPT-free if it contains no MPT of order ν. We determine completely the spectrum for MPT-decomposable, as well as for MPT-indecomposable triple systems, and obtain partial results concerning the spectrum of MPT-free triple systems.

Original language	English (US)
Pages (from-to)	107-116
Number of pages	10
Journal	Annals of Discrete Mathematics
Volume	37
Issue number	C
DOIs	https://doi.org/10.1016/S0167-5060(08)70230-9
State	Published - Jan 1 1988
Externally published	Yes

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics

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AU - Rosa, A.

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AB - A triple system of order ν and index λ is MPT-decomposable if it contains λ pairwise disjoint maximum packings of triples (MPT) of order ν, and it is MPT-free if it contains no MPT of order ν. We determine completely the spectrum for MPT-decomposable, as well as for MPT-indecomposable triple systems, and obtain partial results concerning the spectrum of MPT-free triple systems.

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Extending the Concept of Decomposability for Triple Systems

Abstract

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