Rigidity of ball-polyhedra in Euclidean 3-space

被引：11

作者：

Bezdek, K ^{[1
]}

Naszódi, M ^{[1
]}

机构：

[1] Univ Calgary, Dept Math & Stat, Calgary, AB T2N 1N4, Canada

来源：

EUROPEAN JOURNAL OF COMBINATORICS | 2006年 / 27卷 / 02期

基金：

加拿大自然科学与工程研究理事会; 匈牙利科学研究基金会;

关键词：

ball-polyhedra; rigidity; duality; Cauchy's theorem;

D O I：

10.1016/j.ejc.2004.08.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we introduce ball-polyhedra as finite intersections of congruent balls in Euclidean 3-space. We define their duals and study their face-lattices. Our main result is an analogue of Cauchy's rigidity theorem. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：255 / 268

页数：14

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