Efficient approximation of convex recolorings
نویسندگان
چکیده
منابع مشابه
Efficient Approximation of Convex Recolorings
A coloring of a tree is convex if the vertices that pertain to any color induce a connected subtree; a partial coloring (which assigns colors to some of the vertices) is convex if it can be completed to a convex (total) coloring. Convex coloring of trees arise in areas such as phylogenetics, linguistics, etc. eg, a perfect phylogenetic tree is one in which the states of each character induce a ...
متن کاملConvex Recolorings of Strings and Trees
A coloring of a tree is convex if the vertices that pertain to any color induce a connected subtree; a partial coloring (which assigns colors to some of the vertices) is convex if it can be completed to a convex (total) coloring. Convex coloring of trees arises in areas such as phylogenetics, linguistics, etc. eg, a perfect phylogenetic tree is one in which the states of each character induce a...
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We address the problem of Minimum Enclosing Ball (MEB) and its generalization to Minimum Enclosing Convex Polytope (MECP). Given n points in a d dimensional Euclidean space, we give a O(nd/ √ ) algorithm for producing an enclosing ball whose radius is at most away from the optimum. In the case of MECP our algorithm takes O(1/ ) iterations to converge. In both cases we improve the existing resul...
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This paper deals with sparse approximations by means of convex combinations of elements from a predetermined \basis" subset S of a function space. Speciically, the focus is on the rate at which the lowest achievable error can be reduced as larger subsets of S are allowed when constructing an approximant. The new results extend those given for Hilbert spaces by Jones and Barron, including in par...
متن کاملConvex Recolorings of Strings and Trees: Definitions, Hardness Results and Algorithms
A coloring of a tree is convex if the vertices that pertain to any color induce a connected subtree; a partial coloring (which assigns colors to some of the vertices) is convex if it can be completed to a convex (total) coloring. Convex colorings of trees arise in areas such as phylogenetics, linguistics, etc., e.g., a perfect phylogenetic tree is one in which the states of each character induc...
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ژورنال
عنوان ژورنال: Journal of Computer and System Sciences
سال: 2007
ISSN: 0022-0000
DOI: 10.1016/j.jcss.2007.03.006