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Bounded Representations of Interval and Proper Interval Graphs

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  1. Chapter and Conference Paper

    Grid Drawings and the Chromatic Number

    A grid drawing of a graph maps vertices to the grid ℤ d and edges to line segments that avoid grid points representing other vertices. We show that a graph G is q ...

    Martin Balko in Graph Drawing (2013)

  2. Chapter and Conference Paper

    Drawing Graphs Using a Small Number of Obstacles

    An obstacle representation of a graph G is a set of points in the plane representing the vertices of G, together with a set of polygonal obstacles such that two vertices of G are connected by an edge in G if and ...

    Martin Balko, Josef Cibulka, Pavel Valtr in Graph Drawing and Network Visualization (2015)

  3. Chapter and Conference Paper

    Minimal Representations of Order Types by Geometric Graphs

    In order to have a compact visualization of the order type of a given point set S, we are interested in geometric graphs on S with few edges that unequivocally display the order type of S. We introduce the concep...

    Oswin Aichholzer, Martin Balko, Michael Hoffmann in Graph Drawing and Network Visualization (2019)