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Creators/Authors contains: "Pralat, P"

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  1. ; ; (, SIAM journal on discrete mathematics)
    Accepted Manuscript Full Text Available
  2. ; ; ; ; (, Discrete applied mathematics)
    We consider the localization game played on graphs in which a cop tries to determine the exact location of an invisible robber by exploiting distance probes. The corresponding graph parameter $$\zeta(G)$$ for a given graph $$G$$ is called the localization number. In this paper, we improve the bounds for dense random graphs determining an asymptotic behaviour of $$\zeta(G)$$. Moreover, we extend the argument to sparse graphs. 
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    Accepted Manuscript Full Text Available