| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 417875 | Discrete Applied Mathematics | 2016 | 9 Pages |
Abstract
The minimum kk-way discrepancy mdk(C) of a rectangular matrix C of nonnegative entries is the minimum of the maxima of the within- and between-cluster discrepancies that can be obtained by simultaneous kk-clusterings (proper partitions) of its rows and columns. In Theorem 2, irrespective of the size of C, we give the following estimate for the kkth largest nontrivial singular value of the normalized matrix: sk≤9mdk(C)(k+2−9klnmdk(C)), provided 0
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Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Marianna Bolla,