Approximating the Crossing Number of Graphs Embeddable in Any Orientable Surface

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Authors	HLINĚNÝ Petr CHIMANI Markus
Year of publication	2010
Type	Article in Proceedings
Conference	ACM-SIAM Symposium on Discrete Algorithms (SODA 2010)
MU Faculty or unit	Faculty of Informatics
Citation
Web	conference Proceedings address
Field	Informatics
Keywords	crossing number; crossing minimization; surface
Description	The crossing number of a graph is the least number of pairwise edge crossings in a drawing of the graph in the plane. We provide an $O(n\log n)$ time constant factor approximation algorithm for the crossing number of a graph of bounded maximum degree which is ``densely enough'' embeddable in an arbitrary fixed orientable surface.
Related projects:	Institute for Theoretical Computer Science Highly Parallel and Distributed Computing Systems Utilization of Structural and Width Parametres in Combinatorics and Algorithmic Complexity