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Preclusivity and Simple Graphs

  • Giampiero Chiaselotti
  • Davide Ciucci
  • Tommaso Gentile
  • Federico Infusino
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9437)

Abstract

The adjacency relation of a simple undirected graph is a preclusive (irreflexive and symmetric) relation. Hence, it originates a preclusive space enabling us to define the lower and upper preclusive approximations of graphs and two orthogonality graphs. Further, the possibility of defining the similarity lower and upper approximations and the sufficiency operator on graphs will be investigated, with particular attention to complete and bipartite graphs. All these mappings will be put in relation with Formal Concept Analysis and the theory of opposition.

Keywords

Undirected graphs Preclusivity relation Sufficiency operator Formal concept analysis Theory of opposition 

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Authors and Affiliations

  • Giampiero Chiaselotti
    • 2
  • Davide Ciucci
    • 1
  • Tommaso Gentile
    • 2
  • Federico Infusino
    • 2
  1. 1.DISCoUniversity of Milano – BicoccaMilanItaly
  2. 2.Department of Mathematics and InformaticsUniversity of CalabriaArcavacata di RendeItaly

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