• Connected and internal graph searching 

      Barrière Figueroa, Eulalia; Fraigniaud, Pierre; Santoro, Nicola; Thilikos Touloupas, Dimitrios (2002-07)
      Report de recerca
      Accés obert
      This paper is concerned with the graph searching game. The search number es(G) of a graph G is the smallest number of searchers required to clear G. A search strategy is monotone (m) if no recontamination ever occurs. It ...
    • Connected graph searching 

      Barrière Figueroa, Eulalia; Flocchini, Paola; Fomin, Fedor V.; Fraigniaud, Pierre; Nisse, Nicolas; Santoro, Nicola; Thilikos Touloupas, Dimitrios (2010-09-26)
      Report de recerca
      Accés obert
      In graph searching game the opponents are a set of searchers and a fugitive in a graph. The searchers try to capture the fugitive by applying some sequence moves that include placement, removal, or sliding of a searcher ...
    • Contiguous and internal graph searching 

      Barrière Figueroa, Eulalia; Fraigniaud, Pierre; Santoro, Nicola; Thilikos, Dimitrios M. (2002)
      Report de recerca
      Accés obert
      In the graph searching problem, we are given a graph whose edges are all "contaminated", and, via a sequence of "steps" using "searchers", we want to obtain a state of the graph in which all edges are simultaneously "clear". ...
    • Minimal contention-free matrices with application to multicasting 

      Cohen, Johanne; Fraigniaud, Pierre; Mitjana Riera, Margarida (2000)
      Article
      Accés obert
      In this paper, we show that the multicast problem in trees can be expressed in term of arranging rows and columns of boolean matrices. Given a $p \times q$ matrix $M$ with 0-1 entries, the {\em shadow} of $M$ is ...
    • The price of connectedness in expansions 

      Fomin, Fedor V.; Fraigniaud, Pierre; Thilikos Touloupas, Dimitrios (2004-05)
      Report de recerca
      Accés obert
      Expansion is the way of generalizing different graph layout and searching problems. We initiate the study of connected expansion which naturally arises in a number of applications. Our main tool for this investigation ...