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Combinatorial Relations and Chromatic Graphs

R. E. Greenwood, A. M. Gleason

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Source: Crossref

Published: Jan 1, 1955

DOI: 10.4153/cjm-1955-001-4

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Source abstract

1. Introduction. The following elementary logical problem was a question in the William Lowell Putnam Mathematical Competition held in March 1953 (1): Six points are in general position in space (no three in a line, no four in a plane). The fifteen line segments joining them in pairs are drawn, and then painted, some segments red, some blue. Prove that some triangle has all its sides the same color.

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Combinatorial Relations and Chromatic Graphs — Mathematical Frontier Network