Efficient search of combinatorial maps using signatures

  • Authors:
  • Stéphane Gosselin;Guillaume Damiand;Christine Solnon

  • Affiliations:
  • -;-;-

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2011

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Abstract

In this paper, we address the problem of computing canonical representations of n-dimensional combinatorial maps and of using them for efficiently searching for a map in a database. We define two combinatorial map signatures: the first one has a quadratic space complexity and may be used to decide an isomorphism with a new map in linear time whereas the second one has a linear space complexity and may be used to decide an isomorphism in quadratic time. We show that these signatures can be used to efficiently search for a map in a database.