Convex Drawings of Graphs with Non-convex Boundary

  • Seok-Hee Hong
  • Hiroshi Nagamochi
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4271)


In this paper, we study a new problem of finding a convex drawing of graphs with a non-convex boundary. It is proved that every triconnected plane graph whose boundary is fixed with a star-shaped polygon admits a drawing in which every inner facial cycle is drawn as a convex polygon. Such a drawing, called an inner-convex drawing, can be obtained in linear time.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Seok-Hee Hong
    • 1
  • Hiroshi Nagamochi
    • 2
  1. 1.School of Information TechnologiesUniversity of Sydney and NICTA 
  2. 2.Department of Applied Mathematics and PhysicsKyoto University 

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