## Abstract Let __C~Ξ½~__(__T__) denote the βcover timeβ of the tree __T__ from the vertex __v__, that is, the expected number of steps before a random walk starting at __v__ hits every vertex of __T.__ Asymptotic lower bounds for __C~Ξ½~__(__T__) (for __T__ a tree on __n__ vertices) have been obtain
Collecting coupons on trees, and the cover time of random walks
β Scribed by Uriel Feige
- Publisher
- Springer
- Year
- 1996
- Tongue
- English
- Weight
- 769 KB
- Volume
- 6
- Category
- Article
- ISSN
- 1016-3328
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π SIMILAR VOLUMES
In this paper we give an alternative proof for the main result of Konsowa and Mitro (J. Theor. Probab. 4 (3) (1991) 535), Konsowa and Mitro found that the simple random walk (SRW) on inΓΏnite trees is transient or recurrent. In part of their work, they considered the case of an N-tree in which all th
A method is described for calculating the mean cover time for a particle performing a simple random walk on the vertices of a finite connected graph. The method also yields the variance and generating function of the cover time. A computer program is available which utilises the approach to provide