On Contact Graphs with Cubes and Proportional Boxes

نویسندگان

  • Muhammad Jawaherul Alam
  • Michael Kaufmann
  • Stephen G. Kobourov
چکیده

We study two variants of the problem of contact representation of planar graphs with axis-aligned boxes. In a cube-contact representation we realize each vertex with a cube, while in a proportional box-contact representation each vertex is an axis-aligned box with a prespecified volume. We present algorithms for constructing cube-contact representation and proportional box-contact representation for several classes of planar graphs.

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تاریخ انتشار 2016