Track Drawings of Graphs with Constant Queue Number

  • Emilio Di Giacomo
  • Henk Meijer
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2912)

Abstract

A k-track drawing is a crossing-free 3D straight-line drawing of a graph G on a set of k parallel lines called tracks. The minimum value of k for which G admits a k-track drawing is called the track number of G. In [9] it is proved that every graph from a proper minor closed family has constant track number if and only if it has constant queue number. In this paper we study the track number of well-known families of graphs with small queue number. For these families we show upper bounds and lower bounds on the track number that significantly improve previous results in the literature. Linear time algorithms that compute track drawings of these graphs are also presented and their volume complexity is discussed.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Emilio Di Giacomo
    • 1
  • Henk Meijer
    • 2
  1. 1.Università degli Studi di PerugiaPerugiaItaly
  2. 2.Queen’s UniversityKingstonCanada

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