Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J.A. Bondy and U.S.R. Murty, “Graph theory with applications”, Macmillan, London, 1976.
S.A. Burr, “Generalized Ramsey theorems for graphs—a survey” in Graphs and Combinatorics, lecture notes in Mathematics 406, Springer 1974, 52–75.
G. Chartrand, A.D. Polimeni, C.C. Rousseau, J. Sheehan and M.J. Stewart, “On Star-Book Ramsey numbers”, Proceedings of Kalamazoo Int. Conference (1980), to appear.
M. Clancy, “Some small Ramsey numbers”, J.G.T. 1 (1977), 89–91.
P. Erdös and G. Szekeres, “A combinatorial problem in geometry”, Compositio Math. 2 (1935) 463–470.
P. Erdös, “Some remarks on the theory of graphs”, Bull. Amer. Math. Soc. 53 (1947), 292–294.
P. Erdös, “On the number of complete subgraphs contained in certain graphs”, Magyar Tud. Akad. Mat. Kut. Int. Közl 7 (1962) 459–474.
P. Erdös, R.J. Faudree, C.C. Rousseau and R.H. Schelp, “The size Ramsey number”, Per. Math. Hungar. 9 (1978) 145–162.
R.J. Evans, J.R. Pulham and J. Sheehan, “On the number of complete subgraphs contained in certain graphs”, J.C.T. Ser B (to appear).
L. Gerencsér and A. Gyárfas, “On Ramsey-type problems”, Ann. Univ. Sci. Budapest Eötvös Sect. Math. 10 (1967), 167–170.
G. Giraud, “Sur le problème de Goodman pour les quadrangles et la majoration des nombres de Ramsey”, J.C.T. Ser. B 27 (1979), 237–253.
A.W. Goodman, “On sets of acquaintances and strangers at any party”, American Math. Monthly, 68 (1961), 107–111.
J. E. Graver and J. Yackel, “Some graph theoretic results associated with Ramsey's theorem”, J.C.T. 4 (1968), 125–175.
R.E. Greewood and A.M. Gleason, “Combinatorial relations and chromatic graphs”, Canad. J. Math. 7 (1955), 1–7.
F. Harary, Graph Theory, Addison-Wesley, Reading, Mass., 1969.
F. P. Ramsey, “On a problem of formal logic”, Proc. London Math. Soc. 30 (1930) 264–286.
C.C. Rousseau and J. Sheehan, “On Ramsey numbers for books”, J.G.T. 2 (1) (1978), 77–87.
C.C. Rousseau and J. Sheehan, “A class of Ramsey problems involving trees”, J. London Math. Soc. (2), 18 (1978), 392–396.
A. G. Thomason, Ph.D. Thesis, Cambridge University, 1979.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1981 Springer-Verlag
About this paper
Cite this paper
Sheehan, J. (1981). Finite Ramsey theory is hard. In: McAvaney, K.L. (eds) Combinatorial Mathematics VIII. Lecture Notes in Mathematics, vol 884. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0091811
Download citation
DOI: https://doi.org/10.1007/BFb0091811
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-10883-2
Online ISBN: 978-3-540-38792-3
eBook Packages: Springer Book Archive