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- W2000695501 abstract "Abstract We analyze several heuristics for graph planarization, i.e., deleting the minimum number of edges from a nonplanar graph to make it planar. The problem is NP-hard, although some heuristics which perform well in practice have been reported. In particular, we compare the two principle methods, based on path addition and vertex addition, respectively, with a selective edge addition method, an incremental method, and a “cycle packing” approach. For the incremental, the path addition, and the edge addition methods, we prove theoretical worst-case performance bounds of 1/3. We also present an empirical analysis of the heuristics. Our results indicate that the “cycle-packing” method consistently yields the best solutions when applied to a large set of test graphs." @default.
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- W2000695501 date "1997-01-01" @default.
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- W2000695501 title "An analysis of heuristics for graph planarization" @default.
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- W2000695501 doi "https://doi.org/10.1080/02522667.1997.10699312" @default.
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