The Maximum Number of Edges in Geometric Graphs with Pairwise Virtually Avoiding Edges

被引：1

作者：

Ackerman, Eyal ^{[1
]}

Nitzan, Noa ^{[2
]}

Pinchasi, Rom ^{[2
]}

机构：

[1] Univ Haifa, Dept Math Phys & Comp Sci, IL-36006 Tivon, Israel

[2] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

GRAPHS AND COMBINATORICS | 2014年 / 30卷 / 05期

关键词：

Geometric graph; Avoiding edges; Discharging method; Parallel edges; QUASI-PLANAR GRAPHS; PARALLEL EDGES;

D O I：

10.1007/s00373-013-1335-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a geometric graph on n vertices that are not necessarily in general position. Assume that no line passing through one edge of G meets the relative interior of another edge. We show that in this case the number of edges in G is at most 2n-3.

引用

页码：1065 / 1072

页数：8

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