Construction and counting of 2t+1 Steiner triple
- 10.2991/asei-15.2015.55How to use a DOI?
- triple systems; complete trimap; counting
The methods of both constructing and enumerating Steiner triple systems of order 2t+1 are proposed. It demonstrated the Complete trimap and descirbed the application of Complete bipartite graph in constitute design. The theorem concerning existence and construction of Steiner triple systems of order 2t+1 is proved. 7×20 Steiner triple systems of order 19 and their entire constrction procedure are presented.
- © 2015, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Zhaodi Xu AU - Xiaoyi Li AU - Wanxi Chou PY - 2015/05 DA - 2015/05 TI - Construction and counting of 2t+1 Steiner triple BT - Proceedings of the 2015 International conference on Applied Science and Engineering Innovation PB - Atlantis Press SP - 263 EP - 266 SN - 2352-5401 UR - https://doi.org/10.2991/asei-15.2015.55 DO - 10.2991/asei-15.2015.55 ID - Xu2015/05 ER -