Searching a marked vertex on Erdős-Rényi graphs with Rosenzweig-Porter disorder succeeds more often in the localized phase, but takes much longer than in the ergodic phase.
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Marked vertex search on disordered graphs with Rosenzweig-Porter phases
Searching a marked vertex on Erdős-Rényi graphs with Rosenzweig-Porter disorder succeeds more often in the localized phase, but takes much longer than in the ergodic phase.