Planar and Poly-arc Lombardi Drawings

Duncan, Christian A. and Eppstein, David and Goodrich, Michael T. and Kobourov, Stephen G. and Löffler, Maarten (2012) Planar and Poly-arc Lombardi Drawings. In: Graph Drawing 19th International Symposium, GD 2011, September 21-23, 2011 , pp. 308-319(Official URL: http://dx.doi.org/ 10.1007/978-3-642-25878-7_30).

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Abstract

In Lombardi drawings of graphs, edges are represented as circular arcs, and the edges incident on vertices have perfect angular resolution. However, not every graph has a Lombardi drawing, and not every planar graph has a planar Lombardi drawing. We introduce k-Lombardi drawings, in which each edge may be drawn with k circular arcs, noting that every graph has a smooth 2-Lombardi drawing. We show that every planar graph has a smooth planar 3-Lombardi drawing and further investigate topics connecting planarity and Lombardi drawings.

Item Type: Conference Paper
Additional Information: 10.1007/978-3-642-25878-7_30
Classifications: M Methods > M.600 Planar
P Styles > P.300 Curved
URI: http://gdea.informatik.uni-koeln.de/id/eprint/1265

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