4-connected maximal planar graphs are 4-ordered

被引:5
|
作者
Goddard, W [1 ]
机构
[1] Univ Natal, Dept Comp Sci, ZA-4041 Durban, South Africa
关键词
planar; cycles; k-ordered;
D O I
10.1016/S0012-365X(02)00438-7
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
It is shown that in a 4-connected maximal planar graph there is for any four vertices a, b, c and d, a cycle in the graph that contains the four vertices and visits them in the order a, b, c and d. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
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页码:405 / 410
页数:6
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