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APPROX
2011
Springer
242views Algorithms» more  APPROX 2011»
13 years 9 months ago
New Tools for Graph Coloring
How to color 3 colorable graphs with few colors is a problem of longstanding interest. The best polynomial-time algorithm uses n0.2072 colors. There are no indications that colori...
Sanjeev Arora, Rong Ge
WADS
2007
Springer
130views Algorithms» more  WADS 2007»
15 years 3 months ago
Approximating the Maximum Sharing Problem
In the maximum sharing problem (MS), we want to compute a set of (non-simple) paths in an undirected bipartite graph covering as many nodes as possible of the first layer of the ...
Amitabh Chaudhary, Danny Z. Chen, Rudolf Fleischer...
COMBINATORICS
2000
124views more  COMBINATORICS 2000»
14 years 9 months ago
Colouring Planar Mixed Hypergraphs
A mixed hypergraph is a triple H = (V, C, D) where V is the vertex set and C and D are families of subsets of V , the C-edges and D-edges, respectively. A k-colouring of H is a ma...
André Kündgen, Eric Mendelsohn, Vitaly...
AI
2008
Springer
14 years 10 months ago
Conditional independence and chain event graphs
Graphs provide an excellent framework for interrogating symmetric models of measurement random variables and discovering their implied conditional independence structure. However,...
Jim Q. Smith, Paul E. Anderson
AAAI
2008
15 years 2 days ago
Dormant Independence
The construction of causal graphs from non-experimental data rests on a set of constraints that the graph structure imposes on all probability distributions compatible with the gr...
Ilya Shpitser, Judea Pearl