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) |
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Pages (from-to) | 107-116 |
Number of pages | 10 |
Journal | Annals of Discrete Mathematics |
Volume | 37 |
Issue number | C |
DOIs | |
State | Published - Jan 1 1988 |
Externally published | Yes |
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics