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- W1999726696 abstract "We give a subexponential fixed parameter algorithm for one-sided crossing minimization. It runs in $O(k2^{sqrt{2k}} + n)$ time, where n is the number of vertices of the given graph and parameter k is the number of crossings. The exponent of $O(sqrt{k})$ in this bound is asymptotically optimal assuming the Exponential Time Hypothesis and the previously best known algorithm runs in $2^{O(sqrt{k}log k)} + n^{O(1)}$ time. We achieve this significant improvement by the use of a certain interval graph naturally associated with the problem instance and a simple dynamic program on this interval graph. The linear dependency on n is also achieved through the use of this interval graph." @default.
- W1999726696 created "2016-06-24" @default.
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- W1999726696 date "2014-01-30" @default.
- W1999726696 modified "2023-10-14" @default.
- W1999726696 title "A Fast and Simple Subexponential Fixed Parameter Algorithm for One-Sided Crossing Minimization" @default.
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- W1999726696 doi "https://doi.org/10.1007/s00453-014-9872-x" @default.
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