On Crossing Sets, Disjoint Sets, and Pagenumber

作者: Farhad Shahrokhi , Weiping Shi

DOI: 10.1006/JAGM.1999.1049

关键词:

摘要: Let G=(V,E) be a t-partite graph with n vertices and m edges, where the partite sets are given. We present an O(n2m1.5) time algorithm to construct drawings of G in plane so that size largest set pairwise crossing edges and, at same time, disjoint (pairwise noncrossing) Ot·m. As application we embed book Ot·m pages, resolving open question for pagenumber problem. A similar result is obtained dual or queuenumber. Our algorithms by derandomizing probabilistic proof.

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