A formal approach to qualitative reasoning on topological properties of networks

  • Authors:
  • Andrea Rodríguez;Claudio Gutierrez

  • Affiliations:
  • Department of Computer Science, Universidad de Concepción;Department of Computer Science, Universidad de Chile, Chile

  • Venue:
  • EKAW'06 Proceedings of the 15th international conference on Managing Knowledge in a World of Networks
  • Year:
  • 2006

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Abstract

Qualitative reasoning uses a limited set of relevant distinctions of the domain to allow a flexible way of representing and reasoning about it. This work presents a conceptual framework for qualitative reasoning about information networks from a spatial-topological point of view. We consider the properties of connectivity and some topological invariants to describe the structural characteristics of and the topological relationships between networks. The paper presents a data model for networks which generalizes the notion of graph, founded in algebraic and topological considerations. Such conceptual tool can be useful in different domains, from social to technological networks.