Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4647546 | Discrete Mathematics | 2013 | 10 Pages |
Abstract
Franek et al. recently described four constructions for large sets of vâ1L-intersecting Steiner triple systems of order v  (STS(v)) [F. Franek, M.J. Grannell, T.S. Griggs, A. Rosa, On the large sets of vâ1L-intersecting Steiner triple systems of order v, Des. Codes Cryptogr. 26 (2002) 243-256]. In this study we focus on large sets of vâ1  {0,v3}-intersecting STS(v). Some recursive constructions are presented that involve three-wise balanced designs. By applying these constructions we obtain some new infinite classes of such large sets, and the large sets of vâ1{0,v3}-intersecting KTS(v) are used to produce some new large sets of Kirkman triple systems.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Lijun Ji, Rui Shen,