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COCOA
2007
Springer
14 years 1 months ago
On the Complexity of Some Colorful Problems Parameterized by Treewidth
Abstract. We study the complexity of several coloring problems on graphs, parameterized by the treewidth t of the graph: (1) The list chromatic number χl(G) of a graph G is defin...
Michael R. Fellows, Fedor V. Fomin, Daniel Lokshta...
STACS
2007
Springer
14 years 1 months ago
New Approximation Algorithms for Minimum Cycle Bases of Graphs
We consider the problem of computing an approximate minimum cycle basis of an undirected non-negative edge-weighted graph G with m edges and n vertices; the extension to directed ...
Telikepalli Kavitha, Kurt Mehlhorn, Dimitrios Mich...
ESA
2006
Springer
137views Algorithms» more  ESA 2006»
13 years 11 months ago
Deciding Relaxed Two-Colorability - A Hardness Jump
A coloring is proper if each color class induces connected components of order one (where the order of a graph is its number of vertices). Here we study relaxations of proper two-c...
Robert Berke, Tibor Szabó
JMLR
2010
149views more  JMLR 2010»
13 years 2 months ago
Learning Bayesian Network Structure using LP Relaxations
We propose to solve the combinatorial problem of finding the highest scoring Bayesian network structure from data. This structure learning problem can be viewed as an inference pr...
Tommi Jaakkola, David Sontag, Amir Globerson, Mari...
COMBINATORICA
2008
84views more  COMBINATORICA 2008»
13 years 7 months ago
Parity check matrices and product representations of squares
Let NF(n, k, r) denote the maximum number of columns in an n-row matrix with entries in a finite field F in which each column has at most r nonzero entries and every k columns are...
Assaf Naor, Jacques Verstraëte