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» The Maximum Distinguishing Number of a Group
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89
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COMBINATORICS
2006
114views more  COMBINATORICS 2006»
15 years 1 months ago
The Maximum Distinguishing Number of a Group
Let G be a group acting faithfully on a set X. The distinguishing number of the action of G on X, denoted DG(X), is the smallest number of colors such that there exists a coloring...
Melody Chan
100
Voted
COMBINATORICS
2006
132views more  COMBINATORICS 2006»
15 years 1 months ago
On Computing the Distinguishing Numbers of Trees and Forests
Let G be a graph. A vertex labeling of G is distinguishing if the only label-preserving automorphism of G is the identity map. The distinguishing number of G, D(G), is the minimum...
Christine T. Cheng
101
Voted
APPROX
2004
Springer
122views Algorithms» more  APPROX 2004»
15 years 7 months ago
Maximum Coverage Problem with Group Budget Constraints and Applications
We study a variant of the maximum coverage problem which we label the maximum coverage problem with group budget constraints (MCG). We are given a collection of sets S = {S1, S2, ....
Chandra Chekuri, Amit Kumar
DCC
2003
IEEE
16 years 1 months ago
The Largest Cap in AG(4, 4) and Its Uniqueness
We show that 40 is the maximum number of points of a cap in AG(4, 4). Up to semi-linear transformations there is only one such 40-cap. Its group of automorphisms is a semidirect p...
Yves Edel, Jürgen Bierbrauer
ICML
2007
IEEE
16 years 2 months ago
Hierarchical maximum entropy density estimation
We study the problem of simultaneously estimating several densities where the datasets are organized into overlapping groups, such as a hierarchy. For this problem, we propose a m...
David M. Blei, Miroslav Dudík, Robert E. Sc...