Combinatorial Relations and Chromatic Graphs

Combinatorial Relations and Chromatic Graphs
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DOI:
10.4153/cjm-1955-001-4
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发表时间:
1955
期刊:
Canadian Journal of Mathematics
影响因子:
--
通讯作者:
R. Greenwood;A. Gleason
R. Greenwood;A. Gleason
中科院分区:
其他
文献类型:
--
作者:
R. Greenwood;A. Gleason

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1.导论.以下基本逻辑问题是1953年3月举行的威廉·洛厄尔·普特南数学竞赛中的一个问题(1):六个点在空间中的一般位置(没有三个在一条线上,没有四个在一个平面上)。将它们成对连接起来的15条线段被绘制出来,然后涂上颜色,有些线段是红色的,有些是蓝色的。证明某个三角形的所有边都是相同的颜色。
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.