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

页码：369 / 391

页数：23

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