Lombardi Drawings of Graphs

Details Lombardi Drawings of Graphs Lombardi Drawings of Graphs

2010-09-03

arxiv.org/abs/1009.0579v1

J. Graph Algorithms and Applications 16(1):85-108, 2012 (special issue for GD 2010)

Computer Science

Computational Geometry

Expanded version of paper appearing in the 18th International Symposium on Graph Drawing (GD 2010). 13 pages, 7 figures

Scientific paper

We introduce the notion of Lombardi graph drawings, named after the American abstract artist Mark Lombardi. In these drawings, edges are represented as circular arcs rather than as line segments or polylines, and the vertices have perfect angular resolution: the edges are equally spaced around each vertex. We describe algorithms for finding Lombardi drawings of regular graphs, graphs of bounded degeneracy, and certain families of planar graphs.

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