How to Embed a Path onto Two Sets of Points

  • Emilio Di Giacomo
  • Giuseppe Liotta
  • Francesco Trotta
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3843)


Let R and B be two sets of points such that the points of R are colored red and the points of B are colored blue. Let P be a path such that |R| vertices of P are red and |B| vertices of P are blue. We study the problem of computing a crossing-free drawing of P such that each blue vertex is represented as a point of B and each red vertex of P is represented as a point of R. We show that such a drawing can always be realized by using at most one bend per edge.


Planar Graph Blue Point Discrete Apply Mathematic Planar Drawing Rightmost Point 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Emilio Di Giacomo
    • 1
  • Giuseppe Liotta
    • 1
  • Francesco Trotta
    • 1
  1. 1.Dipartimento di Ingegneria Elettronica e dell’InformazioneUniversità degli Studi di Perugia 

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