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COMBINATORICS
2006
114views more  COMBINATORICS 2006»
13 years 5 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
COMBINATORICS
2006
132views more  COMBINATORICS 2006»
13 years 5 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
APPROX
2004
Springer
122views Algorithms» more  APPROX 2004»
13 years 10 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
14 years 5 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
14 years 6 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...