GENERATING THE 4-CONNECTED AND STRONGLY 4-CONNECTED TRIANGULATIONS ON THE TORUS AND PROJECTIVE PLANE

被引:3
作者
BARNETTE, DW
机构
[1] Department of Mathematics, University of California-Davis, Davis
关键词
D O I
10.1016/0012-365X(90)90159-F
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The triangulations of the torus can be generated from a set of 21 minimal triangulations by vertex splitting. We show that if we never create a 3-valent vertex when we split them we generate the 4-connected triangulations. In addition if we never create two adjacent 4-valent vertexes then we generate the strongly 4-connected triangulations. © 1990.
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页码:1 / 16
页数:16
相关论文
共 8 条
[1]   GENERATING PLANAR 4-CONNECTED GRAPHS [J].
BARNETTE, D .
ISRAEL JOURNAL OF MATHEMATICS, 1973, 14 (01) :1-13
[2]  
Barnette D., 1974, Discrete Mathematics, V7, P199, DOI 10.1016/0012-365X(74)90035-1
[3]   GENERATING THE TRIANGULATIONS OF THE PROJECTIVE PLANE [J].
BARNETTE, D .
JOURNAL OF COMBINATORIAL THEORY SERIES B, 1982, 33 (03) :222-230
[4]   GRAPH THEOREMS FOR MANIFOLDS [J].
BARNETTE, D .
ISRAEL JOURNAL OF MATHEMATICS, 1973, 16 (01) :62-72
[5]  
Barnette D.W., 1969, LECT NOTES MATH, V110, P27
[6]  
Kotzig A., 1968, ACTA FAC RERUM NAT U, V21, P1
[7]  
LAVRENCHENKO S, 1987, IN PRESS UKRAIN GEOM, P30
[8]  
Steinitz E., 1934, VORLESUNGEN THEORIE