English

The cover time of a biased random walk on a random cubic graph

Combinatorics 2018-01-04 v2 Data Structures and Algorithms

Abstract

We study a random walk that prefers tou se unvisited edges in the context of random cubic graphs. We establish asymptotically correct estimates for the vertex and edge cover times, these being nlogn\approx n\log n and 32nlogn\approx \frac32n\log n respectively.

Keywords

Cite

@article{arxiv.1801.00760,
  title  = {The cover time of a biased random walk on a random cubic graph},
  author = {Colin Cooper and Alan Frieze and Tony Johansson},
  journal= {arXiv preprint arXiv:1801.00760},
  year   = {2018}
}