Lombardi Drawings of Graphs

Authors

  • Christian Duncan
  • David Eppstein
  • Michael Goodrich
  • Stephen Kobourov
  • Martin Nöllenburg

DOI:

https://doi.org/10.7155/jgaa.00251

Keywords:

graph drawing , angular resolution , circular arcs , regular graphs , k-degenerate graphs , Halin graphs

Abstract

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 equiangularly 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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Published

2012-01-01

How to Cite

Duncan, C., Eppstein, D., Goodrich, M., Kobourov, S., & Nöllenburg, M. (2012). Lombardi Drawings of Graphs. Journal of Graph Algorithms and Applications, 16(1), 85–108. https://doi.org/10.7155/jgaa.00251