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Sequencing partial Steiner triple systems

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posted on 2025-05-08, 23:27 authored by Brian AlspachBrian Alspach, Donald L. Kreher, Adrián Pastine
A partial Steiner triple system of order (Formula presented.) is sequenceable if there is a sequence of length (Formula presented.) of its distinct points such that no proper segment of the sequence is a union of point-disjoint blocks. We prove that if a partial Steiner triple system has at most three point-disjoint blocks, then it is sequenceable.

History

Journal title

Journal of Combinatorial Designs

Volume

28

Issue

4

Pagination

327-343

Publisher

John Wiley & Sons

Language

  • en, English

College/Research Centre

Faculty of Science

School

School of Mathematical and Physical Sciences

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This is the peer reviewed version of the following article Alspach, Brian; Kreher, Donald L.; Pastine, Adrián. “Sequencing partial Steiner triple systems”. Journal of Combinatorial Designs Vol. 28, Issue 4, p. 327-343 (2020), which has been published in final form at http://dx.doi.org/10.1002/jcd.21698. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions.

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    partial Steiner triple systemsequenceable

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