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Journal of Combinatorial Designs
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Simple Signed Steiner Triple Systems

Simple signed Steiner triple systems
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 19 Mar 2012Embargo end date: 01 Jan 2011 English Publisher:WileyJournal:Journal of Combinatorial Designs, volume 20, pages 332-343 (issn: 1063-8539, eissn: 1520-6610, Copyright policy )
Authors: Ghorbani, E.; Khosrovshahi, G. B.;

doi: 10.1002/jcd.21297 , 10.48550/arxiv.1105.2896

arXiv: 1105.2896

Simple Signed Steiner Triple Systems

Abstract

AbstractLetXbe av‐set,be a set of 3‐subsets (triples) ofX, andbe a partition ofwith. The pairis called a simple signed Steiner triple system, denoted by ST, if the number of occurrences of every 2‐subset ofXin triplesis one more than the number of occurrences in triples. In this paper, we prove thatexists if and only if,, and, whereand for,. © 2012 Wiley Periodicals, Inc. J. Combin. Designs 20: 332–343, 2012

Related Organizations
Keywords

Triple systems, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), 05B07, 05B05, trade, simple signed Steiner triple system

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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