We prove that planar graphs have polylogarithmic queue number, thus improving upon the previous polynomial upper bound. Consequently, planar graphs admit 3D straight-line crossing-free grid drawings in small volume.

DI BATTISTA, G., Frati, F., Pach, J. (2010). On the Queue Number of Planar Graphs. In 51st Annual IEEE Symposium on Foundations of Computer Science (pp.365-374). IEEE Computer Society [10.1007/978-3-642-13739-6_12].

On the Queue Number of Planar Graphs

DI BATTISTA, Giuseppe;FRATI, FABRIZIO;
2010-01-01

Abstract

We prove that planar graphs have polylogarithmic queue number, thus improving upon the previous polynomial upper bound. Consequently, planar graphs admit 3D straight-line crossing-free grid drawings in small volume.
2010
978-0-7695-4244-7
DI BATTISTA, G., Frati, F., Pach, J. (2010). On the Queue Number of Planar Graphs. In 51st Annual IEEE Symposium on Foundations of Computer Science (pp.365-374). IEEE Computer Society [10.1007/978-3-642-13739-6_12].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/177876
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