Rainbow Hamilton cycles in random regular graphs

被引:14
|
作者
Janson, Svante
Wormald, Nicholas
机构
[1] Uppsala Univ, Dept Math, SE-75106 Uppsala, Sweden
[2] Univ Waterloo, Dept Combinator & Optimizat, Waterloo, ON N2L 3G1, Canada
关键词
D O I
10.1002/rsa.20146
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
A rainbow subgraph of an edge-colored graph has all edges of distinct colors. A random d-regular graph with d even, and having edges colored randomly with d/2 of each of it colors, has a rainbow Hamilton cycle with probability tending to I as it -> infinity , for fixed d >= 8. (c) 2006 Wiley Periodicals. Inc.
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页码:35 / 49
页数:15
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