On convex metrics
نویسندگان
چکیده
منابع مشابه
On Convex Sets Associated with Permutations, Cuts, and Certain Metrics
In a recent preprint by Amaral & Letchford (2006) convex hulls of sets of matrices corresponding to permutations and certain metrics are studied. For each n-tupel of points x1, . . . , xn ∈ R with |xk − xl| ≥ 1 for k 6= l, we define a metric in form of a symmetric n× n-matrix whose entries are the pairwise distances |xk − xl| between the points. The convex hull of these metrics is denoted by Qn...
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In a recent preprint by Amaral & Letchford (2006) convex hulls of sets of matrices corresponding to permutations and path-metrics are studied. A symmetric n × n-matrix is a path metric, if there exist points x1, . . . , xn ∈ R such that the matrix entries are just the pairwise distances |xk − xl| between the points and if these distances are at least one whenever k 6= l. The convex hull of the ...
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متن کاملOn Convex Sets Associated to Permutations, Path-metrics, and Cuts
In a recent preprint by Amaral & Letchford (2006) convex hulls of sets of matrices corresponding to permutations and path-metrics are studied. A symmetric n × n-matrix is a path metric, if there exist points x1, . . . , xn ∈ R such that the matrix entries are just the pairwise distances |xk − xl| between the points and if these distances are at least one whenever k 6= l. The convex hull of the ...
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ژورنال
عنوان ژورنال: Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics
سال: 1965
ISSN: 0022-4340
DOI: 10.6028/jres.069b.021