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Tight Bounds for Coalescing-Branching Random Walks on Regular Graphs

Tight Bounds for Coalescing-Branching Random Walks on Regular Graphs

A Coalescing-Branching Random Walk (CoBra) is a natural extension to the standard random walk on a graph. The process starts with one pebble at an arbitrary node. In each round of the process every pebble splits into k pebbles, which are sent to k random neighbors. At the end of …