Van der Waerden theorem for sequences of integers not containing an arithmetic progression of k terms

Jaroslav Nešetřil; Vojtěch Rödl

Commentationes Mathematicae Universitatis Carolinae (1976)

  • Volume: 017, Issue: 4, page 675-681
  • ISSN: 0010-2628

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Nešetřil, Jaroslav, and Rödl, Vojtěch. "Van der Waerden theorem for sequences of integers not containing an arithmetic progression of $k$ terms." Commentationes Mathematicae Universitatis Carolinae 017.4 (1976): 675-681. <http://eudml.org/doc/16783>.

@article{Nešetřil1976,
author = {Nešetřil, Jaroslav, Rödl, Vojtěch},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {4},
pages = {675-681},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Van der Waerden theorem for sequences of integers not containing an arithmetic progression of $k$ terms},
url = {http://eudml.org/doc/16783},
volume = {017},
year = {1976},
}

TY - JOUR
AU - Nešetřil, Jaroslav
AU - Rödl, Vojtěch
TI - Van der Waerden theorem for sequences of integers not containing an arithmetic progression of $k$ terms
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1976
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 017
IS - 4
SP - 675
EP - 681
LA - eng
UR - http://eudml.org/doc/16783
ER -

References

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  1. P. ERDOS, Problems and results in combinatorial number theory, Société Mathematique de France, Astérisque 24-25 (1975), 295-310. (1975) MR0374075
  2. J. FOLKMAN, Graphs with monochromatic complete subgraphs in every edge colouring, SIAM J. Applied Hath. 18 (1970), 19-29. (1970) MR0268080
  3. 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. (1974) MR0329917
  4. J. NEŠETŘIL V. RÖDL, Ramsey property of graphs with forbidden complete subgraphs, J. Comb. Th. (B), 20, 3 (1976), 243-249. (1976) MR0412004
  5. J. NEŠETŘIL V. RÖDL, Type theory of partition problems of graphs, in: Recent advances in graph theory, Academia, Prague (1975), 405-412. (1975) MR0409259
  6. J. NEŠETŘIL V. RÖDL, Partitions of finite relational and set systems, to appear in J. Comb. Th. (A). MR0437351
  7. B. L. van der WAERDEN, Beweis einer Baudetschen Vermutung, Nieuw Arch. Wis. 15 (1928), 212-216. (1928) 
  8. J. SPENCER, Restricted Ramsey configurations, J. Comb. Th. 19, 3 (1975), 278-286. (1975) Zbl0316.05003MR0382058
  9. A. HALES. R. I. JEWETT, Regularity and positional games, Trans. Amer. Math. Soc. 106 (1963), 222-229. (1963) Zbl0113.14802MR0143712

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