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» Compressing Bounded Degree Graphs
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71
Voted
CPC
2007
64views more  CPC 2007»
14 years 9 months ago
Sampling Regular Graphs and a Peer-to-Peer Network
d Abstract) Colin Cooper∗ , Martin Dyer† and Catherine Greenhill‡ We consider a simple Markov chain for d-regular graphs on n vertices, and show that the mixing time of this...
Colin Cooper, Martin E. Dyer, Catherine S. Greenhi...
CPC
2002
113views more  CPC 2002»
14 years 9 months ago
Some Inequalities For The Largest Eigenvalue Of A Graph
Let (G) be the largest eigenvalue of the adjacency matrix of a graph G: We show that if G is Kp+1-free then (G) r 2 p 1 p e (G): This inequality was ...rst conjectured by Edwards ...
Vladimir Nikiforov
JMLR
2006
118views more  JMLR 2006»
14 years 9 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
95
Voted
SODA
2012
ACM
213views Algorithms» more  SODA 2012»
13 years 2 days ago
Expanders are universal for the class of all spanning trees
Given a class of graphs F, we say that a graph G is universal for F, or F-universal, if every H ∈ F is contained in G as a subgraph. The construction of sparse universal graphs ...
Daniel Johannsen, Michael Krivelevich, Wojciech Sa...
STOC
2006
ACM
114views Algorithms» more  STOC 2006»
15 years 10 months ago
Linear time low tree-width partitions and algorithmic consequences
Classes of graphs with bounded expansion have been introduced in [15], [12]. They generalize both proper minor closed classes and classes with bounded degree. For any class with b...
Jaroslav Nesetril, Patrice Ossona de Mendez