Steiner triple systems intersecting in pairwise disjoint blocks

Two Steiner triple systems (X,A) and (X,B) are said to intersect in m pairwise disjoint blocks if |A ∩ B| = m and all blocks in A ∩ B are pairwise disjoint. For each v, we completely determine the possible values of m such that there exist two Steiner triple systems of order v intersecting in m pair...

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Main Author: Chee, Yeow Meng
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2010
Subjects:
Online Access:https://hdl.handle.net/10356/90673
http://hdl.handle.net/10220/6223
http://www.emis.de/journals/EJC/Volume_11/PDF/v11i1r27.pdf
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-906732023-02-28T19:36:57Z Steiner triple systems intersecting in pairwise disjoint blocks Chee, Yeow Meng School of Physical and Mathematical Sciences DRNTU::Science::Mathematics::Discrete mathematics::Combinatorics Two Steiner triple systems (X,A) and (X,B) are said to intersect in m pairwise disjoint blocks if |A ∩ B| = m and all blocks in A ∩ B are pairwise disjoint. For each v, we completely determine the possible values of m such that there exist two Steiner triple systems of order v intersecting in m pairwise disjoint blocks. Published version 2010-04-08T02:30:50Z 2019-12-06T17:51:57Z 2010-04-08T02:30:50Z 2019-12-06T17:51:57Z 2004 2004 Journal Article Chee, Y. M. (2004). Steiner triple systems intersecting in pairwise disjoint blocks. The Electronic Journal of Combinatorics, 11, 1-17. 1077-8926 https://hdl.handle.net/10356/90673 http://hdl.handle.net/10220/6223 http://www.emis.de/journals/EJC/Volume_11/PDF/v11i1r27.pdf en The electronic journal of combinatorics The Electronic Journal of Combinatorics @ copyright 2004 American Mathematical Society. The journal's website is located at http://www.emis.ams.org/journals/EJC/. 17 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Science::Mathematics::Discrete mathematics::Combinatorics
spellingShingle DRNTU::Science::Mathematics::Discrete mathematics::Combinatorics
Chee, Yeow Meng
Steiner triple systems intersecting in pairwise disjoint blocks
description Two Steiner triple systems (X,A) and (X,B) are said to intersect in m pairwise disjoint blocks if |A ∩ B| = m and all blocks in A ∩ B are pairwise disjoint. For each v, we completely determine the possible values of m such that there exist two Steiner triple systems of order v intersecting in m pairwise disjoint blocks.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Chee, Yeow Meng
format Article
author Chee, Yeow Meng
author_sort Chee, Yeow Meng
title Steiner triple systems intersecting in pairwise disjoint blocks
title_short Steiner triple systems intersecting in pairwise disjoint blocks
title_full Steiner triple systems intersecting in pairwise disjoint blocks
title_fullStr Steiner triple systems intersecting in pairwise disjoint blocks
title_full_unstemmed Steiner triple systems intersecting in pairwise disjoint blocks
title_sort steiner triple systems intersecting in pairwise disjoint blocks
publishDate 2010
url https://hdl.handle.net/10356/90673
http://hdl.handle.net/10220/6223
http://www.emis.de/journals/EJC/Volume_11/PDF/v11i1r27.pdf
_version_ 1759856698588135424