The localization capture time of a graph

The localization game is a pursuit-evasion analogous to Cops and Robbers, where the robber invisible cops send distance probes in an attempt identify location of robber. We present novel graph parameter called capture time, which measures how long lasts assuming optimal play. conjecture that time linear order graph, show holds for families such as trees interval graphs. study bounds on its monotone property induced subgraphs more general give upper incidence graphs projective planes. finish with new number using treewidth.