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» On Graph Complexity
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EM
2010
155views Management» more  EM 2010»
13 years 7 months ago
Hyperbolic Graphs of Small Complexity
In this paper we enumerate and classify the "simplest" pairs (M, G) where M is a closed orientable 3-manifold and G is a trivalent graph embedded in M. To enumerate the p...
Damian Heard, Craig Hodgson, Bruno Martelli, Carlo...
JMLR
2006
118views more  JMLR 2006»
13 years 7 months ago
Learning Factor Graphs in Polynomial Time and Sample Complexity
We study the computational and sample complexity of parameter and structure learning in graphical models. Our main result shows that the class of factor graphs with bounded degree...
Pieter Abbeel, Daphne Koller, Andrew Y. Ng
CORR
2004
Springer
115views Education» more  CORR 2004»
13 years 7 months ago
Bounds on the decoding complexity of punctured codes on graphs
We present two sequences of ensembles of non-systematic irregular repeat-accumulate codes which asymptotically (as their block length tends to infinity) achieve capacity on the bi...
Henry D. Pfister, Igal Sason, Rüdiger L. Urba...
AAIM
2005
Springer
122views Algorithms» more  AAIM 2005»
14 years 1 months ago
Complexity of Minimal Tree Routing and Coloring
Let G be a undirected connected graph. Given a set of g groups each being a subset of V (G), tree routing and coloring is to produce g trees in G and assign a color to each of them...
Xujin Chen, Xiao-Dong Hu, Xiaohua Jia
IM
2007
13 years 7 months ago
Pursuit-Evasion in Models of Complex Networks
Vertex pursuit games, such as the game of Cops and Robbers, are a simplified model for network security. In these games, cops try to capture a robber loose on the vertices of the ...
Anthony Bonato, Pawel Pralat, Changping Wang