We give formulas, in terms of the number of pure k-cycles, for the expected hitting times between vertices at distances greater than 1 for random walks on edge-transitive graphs, extending our prior results for neighboring vertices and also extending results of Devroye-Sbihi and Biggs concerning dis
✦ LIBER ✦
Random walks on edge transitive graphs
✍ Scribed by JoséLuis Palacios; JoséMiguel Renom
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 337 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
✦ Synopsis
We find explicit values for the expected hitting times between neighboring vertices of random walks on edge-transitive graphs, extending prior results and allowing the computation of sharp upper and lower bounds for the expected cover times of those graphs.
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