An Algorithm for Three-Dimensional Orthogonal Graph Drawing

  • Authors:
  • David R. Wood

  • Affiliations:
  • -

  • Venue:
  • GD '98 Proceedings of the 6th International Symposium on Graph Drawing
  • Year:
  • 1998

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Abstract

In this paper we present an algorithm for 3-dimensional orthogonal graph drawing based on the movement of vertices from an initial layout along the main diagonal of a cube. For an n-vertex m-edge graph with maximum degree six, the algorithm produces drawings with bounding box volume at most 2:37n3 and with a total of 7m/3 bends, using no more than 4 bends per edge route. For maximum degree five graphs the bounding box has volume n3 and each edge route has two bends. These results establish new bounds for 3-dimensional orthogonal graph drawing algorithms and improve on some existing bounds.