A SIMPLE LINEAR-TIME ALGORITHM FOR TRIANGULATING 3-COLORED GRAPHS

被引:16
作者
BODLAENDER, H [1 ]
KLOKS, T [1 ]
机构
[1] UNIV UTRECHT,DEPT COMP SCI,3508 TB UTRECHT,NETHERLANDS
关键词
D O I
10.1006/jagm.1993.1035
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper we consider the problem of determining whether a given colored graph can be triangulated, such that no edges between vertices of the same color are added. This problem originated from the perfect phylogeny problem from molecular biology and is strongly related with the problem of recognizing partial k-trees. In this paper we give a simple linear time algorithm that solves the problem when there are three colors. We do this by first giving a complete structural characterization of the class of partial two-trees. © 1993 Academic Press, Inc.
引用
收藏
页码:160 / 172
页数:13
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