Discrete realizations of contact and intersection graphs (extended abstract)

  • Jurek Czyzowicz
  • Evangelos Kranakis
  • Danny Krizanc
  • Jorge Urrutia
Packing, Compressing, and Touching
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1353)


Known realizations of geometric representations of graphs, like contact, intersection, etc., are “continuous”, in the sense that the geometric objects are drawn in Euclidean space with real numbers as coordinates. In this paper, we initiate the study of dicrete versions of contact and intersection graphs and examine their relation to their continuous counterparts. The classes of graphs arising appear to have interesting properties and are thus interesting in their own right. We also study realizability, characterizations as well as intractability questions for the resulting new classes of graphs.

1980 Mathematics Subject Classification

681110 68U05 

CR Categories


Key Words and Phrases

Coin Contact Intersection Interval graphs Discrete Planar graphs NP 


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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Jurek Czyzowicz
    • 1
  • Evangelos Kranakis
    • 2
  • Danny Krizanc
    • 2
  • Jorge Urrutia
    • 3
  1. 1.Département d'InformatiqueUniversité du Québec à HullHullCanada
  2. 2.School of Computer ScienceCarleton UniversityOttawaCanada
  3. 3.Department of Computer ScienceUniversity of OttawaOttawaCanada

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