On any finite metric graph with infinite arms, a bistable front from one arm either fully propagates to another arm or is blocked, and this propagation relation is transitive and robust under small graph perturbations.
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Front propagation on a general metric graph
On any finite metric graph with infinite arms, a bistable front from one arm either fully propagates to another arm or is blocked, and this propagation relation is transitive and robust under small graph perturbations.