首页 | 官方网站   微博 | 高级检索  
     


Highly edge-connected factors using given lists on degrees
Authors:Saieed Akbari  Morteza Hasanvand  Kenta Ozeki
Affiliation:1. Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran;2. Yokohama National University, 79-2 Tokiwadai, Hodogaya-ku, Yokohama 240-8501 Japan
Abstract:Let G be a 2k-edge-connected graph with urn:x-wiley:03649024:media:jgt22373:jgt22373-math-0002 and let urn:x-wiley:03649024:media:jgt22373:jgt22373-math-0003 for every urn:x-wiley:03649024:media:jgt22373:jgt22373-math-0004. A spanning subgraph F of G is called an L-factor, if urn:x-wiley:03649024:media:jgt22373:jgt22373-math-0005 for every urn:x-wiley:03649024:media:jgt22373:jgt22373-math-0006. In this article, we show that if urn:x-wiley:03649024:media:jgt22373:jgt22373-math-0007 for every urn:x-wiley:03649024:media:jgt22373:jgt22373-math-0008, then G has a k-edge-connected L-factor. We also show that if urn:x-wiley:03649024:media:jgt22373:jgt22373-math-0009 and urn:x-wiley:03649024:media:jgt22373:jgt22373-math-0010 for every urn:x-wiley:03649024:media:jgt22373:jgt22373-math-0011, then G has a k-edge-connected L-factor.
Keywords:connected -factor  connectivity  k-edge-connected L-factor  regular graph
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司    京ICP备09084417号-23

京公网安备 11010802026262号