Steiner triple systems intersecting in pairwise disjoint blocks

• 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
• Institution: Nanyang Technological University

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...