We study the problem of drawing simultaneously embedded graphs with few bends. We show that for any simultaneous embedding with fixed edges (Sefe) of two graphs, there exists a corresponding drawing realizing this embedding such that common edges are drawn as straight-line segments and each exclusive edge has a constant number of bends. If the common graph is biconnected and induced, a straight-line drawing exists. This yields the first efficient testing algorithm for simultaneous geometric embedding (Sge) for a non-trivial class of graphs.

Drawing Simultaneously Embedded Graphs with Few Bends

GRILLI, LUCA;
2014

Abstract

We study the problem of drawing simultaneously embedded graphs with few bends. We show that for any simultaneous embedding with fixed edges (Sefe) of two graphs, there exists a corresponding drawing realizing this embedding such that common edges are drawn as straight-line segments and each exclusive edge has a constant number of bends. If the common graph is biconnected and induced, a straight-line drawing exists. This yields the first efficient testing algorithm for simultaneous geometric embedding (Sge) for a non-trivial class of graphs.
2014
9783662458020
9783662458037
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1326706
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