We study the symmetry properties in weak products of graphs which are inherited from the coordinate graphs and which enable the computation of expected hitting times for a random walk on the product graph. We obtain explicit values for expected hitting times between non-neighboring vertices of the p
Expected cover times of random walks on symmetric graphs
✍ Scribed by José Luis Palacios
- Book ID
- 112472774
- Publisher
- Springer US
- Year
- 1992
- Tongue
- English
- Weight
- 203 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0894-9840
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📜 SIMILAR VOLUMES
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
## 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