| Title:
|
Generating sets in Steiner triple systems (English) |
| Author:
|
Colbourn, Charles J. |
| Author:
|
Dinitz, Jeffrey H. |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
50 |
| Issue:
|
3 |
| Year:
|
2000 |
| Pages:
|
259-269 |
| . |
| Category:
|
math |
| . |
| MSC:
|
05B07 |
| idZBL:
|
Zbl 0984.05013 |
| idMR:
|
MR1775300 |
| . |
| Date available:
|
2009-09-25T11:44:39Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/129540 |
| . |
| Reference:
|
[1] ASSAF A. M.: Modified group divisible designs.Ars Combin. 29 (1990), 13-20. Zbl 0702.05014, MR 1046088 |
| Reference:
|
[2] BIGELOW D. C.-COLBOURN, C J.: Faithful enclosings of triple systems: A gen ralization of Stern's theorem.In: Graphs, Matrices, and Designs (R. Rees, ed.), Dekker, New York, NY, 1992, pp. 31-42. |
| Reference:
|
[3] BRANDES M. DE-RÖDL V.: Steiner triple systems with small maximal independent sets.Ars Combin. 17 (1984), 15-19. MR 0755408 |
| Reference:
|
[4] BROWN T. C.-BUHLER J. P.: A density version of a geometric Ramsey theorem.J. Combin. Theory Ser. A 32 (1982), 20-34. Zbl 0476.51008, MR 0640624 |
| Reference:
|
[5] COLBOURN, C J.-DINITZ J. H.-STINSON D. R.: Spanning sets and scattering sets in Steiner triple systems.J. Combin. Theorу Ser. A 57 (1991), 46-59. Zbl 0765.05016, MR 1101746 |
| Reference:
|
[6] COLBOURN, C J.-HOFFMAN D. G.-REES R.: A new class of group divisible designs with block size three.J. Combin. Theorу Ser. A 59 (1992), 73-89. Zbl 0759.05012, MR 1141323 |
| Reference:
|
[7] COLBOURN, C J.-ROSA A.: Quadratic leaves of maximal partial triple systems.Graphs Combin. 2 (1986), 317-337. Zbl 0609.05009, MR 0951557 |
| Reference:
|
[8] COLBOURN, C J.-ROSA A.: Triple Systems.Oxford Universitу Press, Oxford, 1999. Zbl 0938.05009, MR 1843379 |
| Reference:
|
[9] ERDÖS P.-HAJNAL A.: On chromatic number of graphs and set systems.Acta Math. Acad. Sci. Hung. 17 (1966), 61-99. MR 0193025 |
| Reference:
|
[10] GRABLE D. A.-PHELPS K. T.-RODL V.: The minimum independence number for designs.Combinatorica 15 (1995), 175-185. Zbl 0824.05005, MR 1337352 |
| Reference:
|
[11] HANANI H.: Balanced incomplete block designs and related designs.Discrete Math. 11 (1975), 255-369. Zbl 0361.62067, MR 0382030 |
| Reference:
|
[12] MIAO Y.-ZHU L.: Existence of incomplete group divisible designs.J. Combin. Math. Combin. Comput. 6 (1989), 33-49. Zbl 0688.05009, MR 1025006 |
| Reference:
|
[13] PHELPS K. T.-RÖDL V.: Steiner triple systems with minimum independence number.Ars Combin. 21 (1986), 167-172. Zbl 0625.05012, MR 0846690 |
| Reference:
|
[14] SAUER N.-SCHÖNHEIM J.: Maximal subsets of a given set having no triple in common with a Steiner triple system on the set.Canad. Math. Bull. 12 (1969), 777-778. Zbl 0194.01002, MR 0252235 |
| Reference:
|
[15] WEI R.: Group-divisible designs with equal-sized holes.Ars Combin. 35 (1993), 315-324. Zbl 0786.05012, MR 1220530 |
| . |
