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The anonymous subgraph problem

  • Andrea Bettinelli
  • , Leo Liberti
  • , Franco Raimondi
  • , David Savourey
  • University of Milano
  • Middlesex University
  • Laboratoire d'Informatique (LIX)

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Résumé

In this work we address the Anonymous Subgraph Problem (ASP). The problem asks to decide whether a directed graph contains anonymous subgraphs of a given family. This problem has a number of practical applications and here we describe three of them (Secret Santa Problem, anonymous routing, robust paths) that can be formulated as ASPs. Our main contributions are (i) a formalization of the anonymity property for a generic family of subgraphs, (ii) an algorithm to solve the ASP in time polynomial in the size of the graph under a set of conditions, and (iii) a thorough evaluation of our algorithms using various tests based both on randomly generated graphs and on real-world instances.

langue originaleAnglais
Pages (de - à)973-979
Nombre de pages7
journalComputers and Operations Research
Volume40
Numéro de publication4
Les DOIs
étatPublié - 1 avr. 2013

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