Lombardi Drawings of Graphs

We introduce the notion of Lombardi graph drawings, named after the 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.

• Type: Journal
• Year: 2010
• Where: CORR
• Authors: Christian A. Duncan, David Eppstein, Michael T. Goodrich, Stephen G. Kobourov, Martin Nöllenburg
• Keywords: Artist Mark Lombardi, CORR 2010, Drawings, Education, Lombardi Graph