Minimum embedding of P3-designs into (K4-e)-designs

Charles Colbourn; Alan C H Ling; Gaetano Quattrocchi

doi:10.1002/jcd.10044

Minimum embedding of P₃-designs into (K₄-e)-designs

Charles Colbourn
, Alan C H Ling
, Gaetano Quattrocchi

Computer Science and Engineering

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

27 Scopus citations

Abstract

A (K₄ -e)-design on v w points embeds a P₃-design on v points if there is a subset of v points on which the K₄ -e blocks induce the blocks of a P₃-design. It is shown that w ≤ 34 (v - 1). When equality holds, the embedding design is easily constructed. In this paper, the next case, when w 3 4 v, is settled with finitely many exceptions.

Original language	English (US)
Pages (from-to)	352-366
Number of pages	15
Journal	Journal of Combinatorial Designs
Volume	11
Issue number	5
DOIs	https://doi.org/10.1002/jcd.10044
State	Published - 2003

Keywords

Embedding
Graph design
Resolvable design
Subdesign

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics

Access to Document

10.1002/jcd.10044

Cite this

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abstract = "A (K4 -e)-design on v w points embeds a P3-design on v points if there is a subset of v points on which the K4 -e blocks induce the blocks of a P3-design. It is shown that w ≤ 34 (v - 1). When equality holds, the embedding design is easily constructed. In this paper, the next case, when w 3 4 v, is settled with finitely many exceptions.",

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KW - Graph design

KW - Resolvable design

KW - Subdesign

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