On Touching Triangle Graphs

被引：0
|
作者：
Gansner, Emden R. [1 ]
Hu, Yifan [1 ]
Kobourov, Stephen G. [2 ]
机构：
[1] AT&T Labs Res, Florham Pk, NJ USA
[2] Univ Arizona, Tucson, AZ USA
来源：
GRAPH DRAWING | 2011年 / 6502卷
关键词：
PLANAR GRAPHS; DUALS;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, we consider the problem of representing graphs by triangles whose sides touch. We present linear time algorithms for creating touching triangles representations for outerplanar graphs, square grid graphs, and hexagonal grid graphs. The class of graphs with touching triangles representations is not closed under minors, making characterization difficult. We do show that pairs of vertices can only have a small common neighborhood, and we present a complete characterization of the subclass of biconnected graphs that can be represented as triangulations of some polygon.
引用
收藏
页码：250 / +
页数：2
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