A prime decomposition theorem for handcuff graphs in S3

被引：6
|
作者：
Motohashi, Tomoe [1 ]
机构：
[1] Kanto Gakuin Univ, Sch Engn, Dept Network & Multi Media Engn, Kanazawa Ku, Kanagawa 2368501, Japan
来源：
TOPOLOGY AND ITS APPLICATIONS | 2007年 / 154卷 / 18期
关键词：
spatial graph; theta-curve; handcuff; decomposition;
D O I：
10.1016/j.topol.2007.08.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We define a prime decomposition for a handcuff graph by 2-spheres each of which intersects the handcuff at exactly three points and prove that every irreducible handcuff graph can be uniquely decomposed into a finite number of prime handcuffs and theta-curves. (c) 2007 Elsevier B.V. All rights reserved.
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页码：3135 / 3139
页数：5
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