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Some Combinatorial Theorems on Monotonicity

Published online by Cambridge University Press:  20 November 2018

V. Chvátal and
J. Komlόs
V. Chvátal
Affiliation:
University of Waterloo, Waterloo, Ontario
J. Komlόs
Affiliation:
McGill University, Montreal, Quebec; Hungarian Academy of Sciences, Budapest, Hungary
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P. Erdös and G. Szekeres [1] proved that from any points in the plane one can always choose n + 1 of them which are the vertices of a convex polygon, thus answering a question due to Miss Esther Klein (who later became Mrs. G. Szekeres).

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 14 , Issue 2 , June 1971, pp. 151 - 157
Copyright
Copyright © Canadian Mathematical Society 1971

References

1. Erdös, P. and Szekeres, G., A combinatorial problem in geometry, Compositio Math. 2 (1935), 463-470.Google Scholar
2. Gallai, T., On directed paths and circuits. Theory of graphs (edited by P. Erdös and G. Katona), Academic Press, 1968.Google Scholar
3. Hedrlin, Z. and Pultr, A., Relations (graphs) with given finitely generated semigroups, Mh. Math. 68 (1964), 213-217.Google Scholar