Proceedings of the 2015 International conference on Applied Science and Engineering Innovation

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Construction and counting of 2t+1 Steiner triple

Authors
Zhaodi Xu, Xiaoyi Li, Wanxi Chou
Corresponding Author
Zhaodi Xu
Available Online May 2015.
DOI
10.2991/asei-15.2015.55How to use a DOI?
Keywords
triple systems; complete trimap; counting
Abstract

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.

Copyright
© 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/).

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Volume Title
Proceedings of the 2015 International conference on Applied Science and Engineering Innovation
Series
Advances in Engineering Research
Publication Date
May 2015
ISBN
978-94-62520-94-3
ISSN
2352-5401
DOI
10.2991/asei-15.2015.55How to use a DOI?
Copyright
© 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

risenwbib
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  -