Strictly convex drawings of planar graphs

被引：0
|
作者：
Barany, Imre
Rote, Guenter
机构：
[1] Hungarian Acad Sci, Renyi Inst, H-1364 Budapest, Hungary
[2] UCL, Dept Math, London WC1E 6BT, England
[3] Free Univ Berlin, Inst Informat, D-14195 Berlin, Germany
来源：
DOCUMENTA MATHEMATICA | 2006年 / 11卷
关键词：
graph drawing; planar graphs;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Every three-connected planar graph with n vertices has a drawing on an O(n(2)) x O(n(2)) grid in which all faces are strictly convex polygons. These drawings are obtained by perturbing (not strictly) convex drawings on O(n) x O(n) grids. Tighter bounds are obtained when the faces have fewer sides. In the proof, we derive an explicit lower bound on the number of primitive vectors in a triangle.
引用
收藏
页码：369 / 391
页数：23
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