Support sizes of triple systems

Charles J. Colbourn; Charles C. Lindner

doi:10.1016/0097-3165(92)90017-O

Support sizes of triple systems

Charles J. Colbourn, Charles C. Lindner

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

12 Scopus citations

Abstract

The possible numbers of distinct blocks in a triple system of order v and index λ are determined for all v and all λ, with four exceptions when v = 14 and one exception when v ≡ 8 (mod 12). The spectrum is determined using a number of general tripling constructions for triple systems.

Original language	English (US)
Pages (from-to)	193-210
Number of pages	18
Journal	Journal of Combinatorial Theory, Series A
Volume	61
Issue number	2
DOIs	https://doi.org/10.1016/0097-3165(92)90017-O
State	Published - Nov 1992
Externally published	Yes

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

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10.1016/0097-3165(92)90017-O

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title = "Support sizes of triple systems",

abstract = "The possible numbers of distinct blocks in a triple system of order v and index λ are determined for all v and all λ, with four exceptions when v = 14 and one exception when v ≡ 8 (mod 12). The spectrum is determined using a number of general tripling constructions for triple systems.",

author = "Colbourn, {Charles J.} and Lindner, {Charles C.}",

note = "Funding Information: Research of the first author is supported by NSERC Canada under Grant Number A0579. Research of the second author is supported under NSF Grant DMS-8703642.",

year = "1992",

month = nov,

doi = "10.1016/0097-3165(92)90017-O",

language = "English (US)",

volume = "61",

pages = "193--210",

journal = "Journal of Combinatorial Theory, Series A",

issn = "0097-3165",

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AU - Colbourn, Charles J.

AU - Lindner, Charles C.

N1 - Funding Information: Research of the first author is supported by NSERC Canada under Grant Number A0579. Research of the second author is supported under NSF Grant DMS-8703642.

PY - 1992/11

Y1 - 1992/11

N2 - The possible numbers of distinct blocks in a triple system of order v and index λ are determined for all v and all λ, with four exceptions when v = 14 and one exception when v ≡ 8 (mod 12). The spectrum is determined using a number of general tripling constructions for triple systems.

AB - The possible numbers of distinct blocks in a triple system of order v and index λ are determined for all v and all λ, with four exceptions when v = 14 and one exception when v ≡ 8 (mod 12). The spectrum is determined using a number of general tripling constructions for triple systems.

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DO - 10.1016/0097-3165(92)90017-O

M3 - Article

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JO - Journal of Combinatorial Theory, Series A

JF - Journal of Combinatorial Theory, Series A

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Support sizes of triple systems

Abstract

ASJC Scopus subject areas

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