Random walks on networks: cumulative distribution of cover time

Details Random walks on networks: cumulative distribution of cover time Random walks on networks: cumulative distribution of cover time

2009-10-19

arxiv.org/abs/0910.3545v1

Phys. Rev. E 80, 041102 (2009)

Physics

Mathematical Physics

Scientific paper

10.1103/PhysRevE.80.041102

We derive an exact closed-form analytical expression for the distribution of the cover time for a random walk over an arbitrary graph. In special case, we derive simplified exact expressions for the distributions of cover time for a complete graph, a cycle graph, and a path graph. An accurate approximation for the cover time distribution, with computational complexity of O(2n), is also presented. The approximation is numerically tested only for graphs with n<=1000 nodes.

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