On the Distribution of Monochromatic Configurations
Much of Ramsey theory is concerned with the study of structure which is preserved under finite partitions, (eg., see , , ). Some of the earliest results in the field were the following.
Unable to display preview. Download preview PDF.
- P. Frankl, R.L. Graham and V. Rödl, Quantitative theorems for regular systems of equations, (to appear).Google Scholar
- P. Frankl, R.L. Graham and V. Rödl, Iterated combinatorial density theorems, (to appear).Google Scholar
- R.L. Graham, Rudiments of Ramsey Theory, Regional Conference Series in Mathematics, no. 45, AMS, 1981.Google Scholar
- R.L. Graham, B.L. Rothschild, J.H. Spencer, Ramsey Theory, John Wiley & Sons, Inc., 1980.Google Scholar
- R.L. Graham and V. Rödl, Numbers in Ramsey theory, in Surveys in Com-binatorica 1987 (C. Whitehead, ed) LMS Lecture Note Series 123, Cambridge, 1987, 111–113.Google Scholar
- H. Lefmann, Kanonische Partitionssatze, Ph.D. Dissertation, Univ. of Bielefeld (1985).Google Scholar
- J. Nešetřil, V. Rödl, Partition Theory and its Applications, Surveys in Combinatorics 1979 (B. Bollobás, ed) LMS Lecture Note Series 38, Cambridge, 1979, 96–157.Google Scholar
- I. Schur, Über die Kongruenz x m + y m = z m (mod p), Jber.Deutsch. Math. Verein. 25 (1916), 114–116.Google Scholar
- B.L. van der Waerden, Beweis einer Baudetschen Vermutung, Nieuw. Arch. Wish. 15 (1927), 212–216.Google Scholar