### Abstract

A triple system TS(υ,λ) is a collection of 3-element subsets (=blocks) of a v-element set X such that each pair x, yε{lunate}X is contained in precisely λ blocks. We determine the spectrum of λ-times repeated blocks in a TS(υ,λ), leaving only one value in doubt for each v≡2(mod 12).

Original language | English |
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Pages (from-to) | 159-166 |

Number of pages | 8 |

Journal | Discrete Mathematics |

Volume | 129 |

Issue number | 1-3 |

DOIs | |

Publication status | Published - May 28 1994 |

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### ASJC Scopus subject areas

- Discrete Mathematics and Combinatorics
- Theoretical Computer Science

### Cite this

*Discrete Mathematics*,

*129*(1-3), 159-166. https://doi.org/10.1016/0012-365X(92)00510-X

**The spectrum of λ-times repeated blocks for TS(υ,λ).** / Milici, Salvatore; Tuza, Z.

Research output: Contribution to journal › Article

*Discrete Mathematics*, vol. 129, no. 1-3, pp. 159-166. https://doi.org/10.1016/0012-365X(92)00510-X

}

TY - JOUR

T1 - The spectrum of λ-times repeated blocks for TS(υ,λ)

AU - Milici, Salvatore

AU - Tuza, Z.

PY - 1994/5/28

Y1 - 1994/5/28

N2 - A triple system TS(υ,λ) is a collection of 3-element subsets (=blocks) of a v-element set X such that each pair x, yε{lunate}X is contained in precisely λ blocks. We determine the spectrum of λ-times repeated blocks in a TS(υ,λ), leaving only one value in doubt for each v≡2(mod 12).

AB - A triple system TS(υ,λ) is a collection of 3-element subsets (=blocks) of a v-element set X such that each pair x, yε{lunate}X is contained in precisely λ blocks. We determine the spectrum of λ-times repeated blocks in a TS(υ,λ), leaving only one value in doubt for each v≡2(mod 12).

UR - http://www.scopus.com/inward/record.url?scp=43949161041&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=43949161041&partnerID=8YFLogxK

U2 - 10.1016/0012-365X(92)00510-X

DO - 10.1016/0012-365X(92)00510-X

M3 - Article

VL - 129

SP - 159

EP - 166

JO - Discrete Mathematics

JF - Discrete Mathematics

SN - 0012-365X

IS - 1-3

ER -