PLANAR GRAPH ALGORITHMS.

被引:0
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作者
Nishizeki, Takao [1 ]
机构
[1] Tohoku Univ, Dep of Electrical, Communications, Sendai, Jpn, Tohoku Univ, Dep of Electrical Communications, Sendai, Jpn
关键词
COMPUTER METATHEORY - Programming Theory;
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摘要
Recent results are outlined in the development of efficient algorithms for planar graph problems. A linear time 5-coloring algorithm for planar graphs is demonstrated. An O(n log n) time approximation algorithm for the maximum independent set problem on planar graphs is presented. It is shown in a unified way that a large number of combinatorial problems are linear time computable for series-parallel graphs, a class of planar graphs. All algorithms are efficient, say, of O(n) or O(n log n) time complexity and have broad application in various areas of engineering and computer science.
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页码:77 / 91
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