A random walk on a graph is defined in which a particle moves from one vertex to any adjoining vertex, each with equal probability. The expected number of steps to get from one point to another is considered. It is shown that the maximum expectation for a graph with N vertices is O(N3). It is also s
Expected hitting times for random walks on weak products of graphs
✍ Scribed by Bárbara González-Arévalo; José Luis Palacios
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 89 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
✦ Synopsis
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 product of certain unitary Cayley graphs, showing a complexity not expected from the one-dimensional results on these Cayley graphs.
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