MAXIMAL SIZES OF FACES AND VERTICES IN AN ARRANGEMENT

被引：1

作者：

PURDY, G ^{[1
]}

STROMMER, T ^{[1
]}

机构：

[1] EMORY UNIV,OXFORD COLL,DEPT MATH,OXFORD,GA 30267

来源：

DISCRETE MATHEMATICS | 1979年 / 28卷 / 03期

关键词：

D O I：

10.1016/0012-365X(79)90142-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be an arragement of n lines in the plane. Suppose that F1,...,Fr are faces of A and that V,...,Vs are vertices of A. Suppose also that each Fi is a (Vj) of the lines of A intersect at Vj. Then we show that ∑ i=1 rt(Fi + ∑ j=1 st(Vj)≥n+4 r 2+ s 2+ 2rs. © 1979.

引用

页码：331 / 334

页数：4