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Kinetic Maintenance of Mobile k-Centres on Trees

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  1. Chapter and Conference Paper

    Embedding Plane 3-Trees in ℝ2 and ℝ3

    A point-set embedding of a planar graph G with n vertices on a set P of n points in ℝ d , d ≥ 1, is a straight-line drawing of G, where the vertices of G are mapped to distinct p...

    Stephane Durocher, Debajyoti Mondal, Rahnuma Islam Nishat in Graph Drawing (2012)

  2. Chapter and Conference Paper

    On Balanced -Contact Representations

    In a -contact representation of a planar graph G, each vertex is represented as an axis-aligned plus shape consisting of two intersectin...

    Stephane Durocher, Debajyoti Mondal in Graph Drawing (2013)

  3. Chapter and Conference Paper

    Trade-Offs in Planar Polyline Drawings

    Angular resolution, area and the number of bends are some important aesthetic criteria of a polyline drawing. Although trade-offs among these criteria have been examined over the past decades, many of these tr...

    Stephane Durocher, Debajyoti Mondal in Graph Drawing (2014)

  4. Chapter and Conference Paper

    Drawing Planar Graphs with Reduced Height

    A straight-line (respectively, polyline) drawing Γ of a planar graph G on a set L k of k parallel lines is a planar drawing that maps each vertex of G to a dist...

    Stephane Durocher, Debajyoti Mondal in Graph Drawing (2014)

  5. Chapter and Conference Paper

    Drawing Graphs Using Body Gestures

    We introduce a new gesture-based user interface for drawing graphs that recognizes specific body gestures using the Microsoft Kinect sensor. Our preliminary user study demonstrates the potential for using gest...

    Yeganeh Bahoo, Andrea Bunt, Stephane Durocher in Graph Drawing and Network Visualization (2015)

  6. Chapter and Conference Paper

    Realization of Simply Connected Polygonal Linkages and Recognition of Unit Disk Contact Trees

    We wish to decide whether a simply connected flexible polygonal structure can be realized in Euclidean space. Two models are considered: polygonal linkages (body-and-joint framework) and contact graphs of unit...

    Clinton Bowen, Stephane Durocher in Graph Drawing and Network Visualization (2015)