Steiner triple systems intersecting in pairwise disjoint blocks

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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Bibliographic Details
Main Author: Chee, Yeow Meng
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2010
Subjects:
DRNTU::Science::Mathematics::Discrete mathematics::Combinatorics
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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Summary: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.

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