Linear cover time is exponentially unlikely
成果类型:
Article
署名作者:
Benjamini, Itai; Gurel-Gurevich, Ori; Morris, Ben
署名单位:
Weizmann Institute of Science; University of British Columbia; University of California System; University of California Davis
刊物名称:
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN:
0178-8051
DOI:
10.1007/s00440-011-0403-2
发表日期:
2013
页码:
451-461
关键词:
摘要:
We show that the probability that a simple random walk covers a finite, bounded degree graph in linear time is exponentially small. We conjecture that the same holds for any simple graph.