| DISCHARGING FUNCTION AND THE THREE COLOUR PROBLEM |
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| 作者姓名： | 王春杰 |
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| 作者单位： | 青岛大学数学系 |
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| 摘 要： | 由于Ｇｒｏｔｚｓｃｈ，下面的构形是三色可约的：一个五边形连接４个３度的顶点．在Ｇｒｏｔｚｓｃｈ三色定理和Ｇｒｕｎｂａｕｍ三色定理的证明过程中，证明上述构形的存在性是关键的一步．本文运用ｄｉｓｃｈａｒｇｉｎｇ函数加以证明．
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| 关 键 词： | 构形 可约 discharging函数 主要顶点 |
DISCHARGING FUNCTION AND THE THREE COLOUR PROBLEM |
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| Wang Chunjie.DISCHARGING FUNCTION AND THE THREE COLOUR PROBLEM[J].Journal of Qingdao University(Natural Science Edition),1999(1). |
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| Authors: | Wang Chunjie |
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| Abstract: | Due to Grtzsch, the
following configuration is known to be 3 colour reducible: a pentagon incident with four 3 vertices,
which is used to prove Gr zsch's 3 colour theorem and Grnbaum's 3 colour theorem. A key
ingredient of their proofs is to show the existence of above configuration. In this paper we will
prove it using a discharging function in the 4 colour problem. |
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| Keywords: | configuration reducible discharging function major vertex |
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