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...
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Journal 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 |
| _version_ | 1811693206093430784 |
|---|---|
| author | Chee, Yeow Meng |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Chee, Yeow Meng |
| author_sort | Chee, Yeow Meng |
| collection | NTU |
| 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. |
| first_indexed | 2024-10-01T06:47:59Z |
| format | Journal Article |
| id | ntu-10356/90673 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T06:47:59Z |
| publishDate | 2010 |
| record_format | dspace |
| spelling | ntu-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 |
| spellingShingle | DRNTU::Science::Mathematics::Discrete mathematics::Combinatorics Chee, Yeow Meng Steiner triple systems intersecting in pairwise disjoint blocks |
| title | 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_short | Steiner triple systems intersecting in pairwise disjoint blocks |
| title_sort | steiner triple systems intersecting in pairwise disjoint blocks |
| topic | DRNTU::Science::Mathematics::Discrete mathematics::Combinatorics |
| url | https://hdl.handle.net/10356/90673 http://hdl.handle.net/10220/6223 http://www.emis.de/journals/EJC/Volume_11/PDF/v11i1r27.pdf |
| work_keys_str_mv | AT cheeyeowmeng steinertriplesystemsintersectinginpairwisedisjointblocks |