The random walk construction of uniform spanning trees and uniform labelled trees
SIAM Journal on Discrete Mathematics
A self-stabilizing distributed algorithm for spanning tree construction in wireless ad hoc networks
Journal of Parallel and Distributed Computing - Special issue on wireless and mobile ad hoc networking and computing
Generating random spanning trees
SFCS '89 Proceedings of the 30th Annual Symposium on Foundations of Computer Science
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In this paper, we investigate the following problem: k mobile agents are placed in a network. The agents initially move in the network using random walks. They have unique identities and mark on the ${\mathcal WB}$ (memory location for nodes) on arriving at any node v . We give an algorithm for the agents to do random walk and mark nodes of the network. This has many applications such as constructing a spanning tree. The agents on entering a region of bigger identity agents transfer the knowledge and submit themselves to bigger identity agents hence reducing the number of agents in the network.