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
A bound for the covering time of random walks on graphs
✍ Scribed by JoséLuis Palacios
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 199 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0167-7152
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## Abstract Let __C~ν~__(__T__) denote the “cover time” 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~ν~__(__T__) (for __T__ a tree on __n__ vertices) have been obtain
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