| Title:
|
Partite construction and Ramseyan theorems for sets, numbers and spaces (English) |
| Author:
|
Nešetřil, Jaroslav |
| Author:
|
Rödl, Vojtěch |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
28 |
| Issue:
|
3 |
| Year:
|
1987 |
| Pages:
|
569-580 |
| . |
| Category:
|
math |
| . |
| MSC:
|
05-02 |
| MSC:
|
05A17 |
| MSC:
|
05C55 |
| idZBL:
|
Zbl 0629.05048 |
| idMR:
|
MR912585 |
| . |
| Date available:
|
2008-06-05T21:30:22Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106569 |
| . |
| Reference:
|
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| Reference:
|
[2] P. FRANKL R. L. GRAHAM V. RÖDL: Induced restricted Ramsey theorems for spaces.J. Comb. Th. A (1987), 120-128. MR 0871393 |
| Reference:
|
[3] R. GRAHAM K. LEEB B. ROTHSCHILD: Ramsey theorem for a class of categories.Advances in Math. 8, 3 (1972), 417-433. MR 0306010 |
| Reference:
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[4] R. GRAHAM B. ROTHSCHILD: Ramsey's theorem for n-parameter sets.Trans. Amer. Math. Soc. 159 (1971), 257-292. MR 0284352 |
| Reference:
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[5] R. GRAHAM B. ROTHSCHILD J. SPENCER: Ramsey Theory.Wiley, New York 1980. MR 0591457 |
| Reference:
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[6] I. KŘÍŽ: A hypergraph-less construction of highly chromatic graphs without short cycles.(to appear). |
| Reference:
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[7] L. LOVÁSZ: On chromatic number of finite set-systems.Acta Math. Acad. Sci. Hung. 19 (1968), 59-67. MR 0220621 |
| Reference:
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[8] A. W. HALES R. I. JEWETT: Regularity and positional games.Trans. Amer. Math. Soc. 106 (1963), 222-229. MR 0143712 |
| Reference:
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[9] J. NEŠETŘIL V. RÖDL: A structural generalization of the Ramsey theorem.Bull. Amer. Math. Soc. 83, 1 (1977), 127-128. MR 0422035 |
| Reference:
|
[10] J. NEŠETŘIL V. RÖDL: Partitions of relational and set systems.J. Comb. Th. B (1977), 289-312. MR 0437351 |
| Reference:
|
[11] J. NEŠETŘIL V. RÖDL: A short proof of the existence of highly chromatic graphs without short cycles.J. Comb. Th. B 27 (1979), 225-227. MR 0546865 |
| Reference:
|
[12] J. NEŠETŘIL V. RÖDL: Partition (Ramsey) theory - a survey.in: Coll. Math. Soc. János Bolyai, 18. Combinatorics, North Holland (1978), 759-792. MR 0519309 |
| Reference:
|
[13] J. NEŠETŘIL V. RÖDL: Partition theory and its applications.in: Surveys in Combinatorics, Cambridge Univ. Press, Cambridge (1979), 96-156. MR 0561308 |
| Reference:
|
[14] J. NEŠETŘIL V. RÖDL: Ramsey classes of set systems.J. Comb. Th. A 34, 2 (1983), 183-201. MR 0692827 |
| Reference:
|
[15] J. NEŠETŘIL V. RÖDL: Two proofs of the partition property of set systems.European J. of Comb. 3 (1982), 347-352. MR 0687733 |
| Reference:
|
[16] J. NEŠETŘIL V. RÖDL: A short proof of the existence of restricted Ramsey graphs by means of a partite construction.Combinatorica 1, 2 (1981), 199-202. MR 0625551 |
| Reference:
|
[17] J. NEŠETŘIL V. RÖDL: Sparse Ramsey graphs.Combinatorica 4, 1 (1984), 71-78. MR 0739415 |
| Reference:
|
[18] J. NEŠETŘIL V. RÖDL: Strong Ramsey theorems for Steiner systems.Trans. Amer. Math. Soc. 1987 - to appear. MR 0896015 |
| Reference:
|
[19] J. NEŠETŘIL V. RÖDL: Finite Union Theorem with restrictions.Graphs and Combinatorics 2 (1986), 357-361. MR 0951561 |
| Reference:
|
[20] J. NEŠETŘIL V. RÖDL: Partite construction and Ramsey set systems.(to appear). MR 1001405 |
| Reference:
|
[21] J. NEŠETŘIL V. RÖDL: Partite construction and Ramsey space systems.(to appear). MR 1083596 |
| Reference:
|
[22] j. NEŠETŘIL H. J. PRÖMMEL V. RÖDL B. VOIGT: Canonizing ordering Theorems for Hales-Jewett structures.J. Comb. Th. A 40 (1985), 394-408. MR 0814422 |
| Reference:
|
[23] H. J. PRÖMMEL: Induced partition properties of combinatorial cubes.J. Comb. Th. A 39 (1985), 177-208. MR 0793270 |
| Reference:
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[24] F. P. RAMSEY: On a problem of formal logic.Proc. London Math. Soc. 30 (1930), 264-286. |
| Reference:
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[25] R. RADO: Studien zur Kombinatorik.Math. Z. 36 (1933), 424-480. Zbl 0006.14603, MR 1545354 |
| Reference:
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[26] R. GRAHAM J. NEŠETŘIL: Large sets without short arithmetic progression.J. Comb. Th. A 42 (1986), 270-276. MR 0847557 |
| Reference:
|
[27] V. RÖDL: Ramsey families of sets.(to appear). MR 1073689 |
| . |
