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This paper presents several distributed algorithms that cause a token to continually circulate through all the nodes of a mobile ad hoc network. An important application of such algorithms is to ensure total order of message, delivery in a group communication service. Some of the proposed algorithms are aware of, and adapt to changes in the ad hoc network topology. When using a token circulation algorithm, a round is said to complete when every node has been visited at least once. Criteria for comparing the algorithms include the average time, required to complete a round, number of bytes sent per round, and number of nodes visited per round. Comparison between the proposed algorithms is performed using simulation results obtained from a detailed simulation model (with ns-2 simulator). We also give a rigorous worst-case analysis of the proposed LR algorithm, which gives the best overall performance in the simulation.