| Title:
|
Van der Waerden theorem for sequences of integers not containing an arithmetic progression of $k$ terms (English) |
| Author:
|
Nešetřil, Jaroslav |
| Author:
|
Rödl, Vojtěch |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
17 |
| Issue:
|
4 |
| Year:
|
1976 |
| Pages:
|
675-681 |
| . |
| Category:
|
math |
| . |
| MSC:
|
05A99 |
| MSC:
|
10H20 |
| MSC:
|
10L10 |
| MSC:
|
11B83 |
| MSC:
|
11N13 |
| idZBL:
|
Zbl 0345.10030 |
| idMR:
|
MR0441906 |
| . |
| Date available:
|
2008-06-05T20:52:34Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105727 |
| . |
| Reference:
|
[0] P. ERDOS: Problems and results in combinatorial number theory.Société Mathematique de France, Astérisque 24-25 (1975), 295-310. MR 0374075 |
| Reference:
|
[1] J. FOLKMAN: Graphs with monochromatic complete subgraphs in every edge colouring.SIAM J. Applied Hath. 18 (1970), 19-29. MR 0268080 |
| Reference:
|
[2] R. L. GRAHAM B. L. ROTHSCHILD: A short proof of van der Waerden's theorem on arithmetic progressions.Proc. Amer. Math. Soc. 42 (1974), 385-386. MR 0329917 |
| Reference:
|
[3] J. NEŠETŘIL V. RÖDL: Ramsey property of graphs with forbidden complete subgraphs.J. Comb. Th. (B), 20, 3 (1976), 243-249. MR 0412004 |
| Reference:
|
[4] J. NEŠETŘIL V. RÖDL: Type theory of partition problems of graphs.in: Recent advances in graph theory, Academia, Prague (1975), 405-412. MR 0409259 |
| Reference:
|
[5] J. NEŠETŘIL V. RÖDL: Partitions of finite relational and set systems.to appear in J. Comb. Th. (A). MR 0437351 |
| Reference:
|
[6] B. L. van der WAERDEN: Beweis einer Baudetschen Vermutung.Nieuw Arch. Wis. 15 (1928), 212-216. |
| Reference:
|
[7] J. SPENCER: Restricted Ramsey configurations.J. Comb. Th. 19, 3 (1975), 278-286. Zbl 0316.05003, MR 0382058 |
| Reference:
|
[8] A. HALES. R. I. JEWETT: Regularity and positional games.Trans. Amer. Math. Soc. 106 (1963), 222-229. Zbl 0113.14802, MR 0143712 |
| . |
