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» On Bounds for the k-Partitioning of Graphs
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CORR
2010
Springer
149views Education» more  CORR 2010»
14 years 10 months ago
Lower Bounds for the Complexity of Monadic Second-Order Logic
Courcelle's famous theorem from 1990 states that any property of graphs definable in monadic second-order logic (MSO2) can be decided in linear time on any class of graphs of ...
Stephan Kreutzer, Siamak Tazari
CORR
2010
Springer
131views Education» more  CORR 2010»
14 years 10 months ago
A PAC-Bayesian Analysis of Graph Clustering and Pairwise Clustering
We formulate weighted graph clustering as a prediction problem1 : given a subset of edge weights we analyze the ability of graph clustering to predict the remaining edge weights. ...
Yevgeny Seldin
JGT
2008
97views more  JGT 2008»
14 years 10 months ago
On the oriented chromatic index of oriented graphs
A homomorphism from an oriented graph G to an oriented graph H is a mapping from the set of vertices of G to the set of vertices of H such that ----(u)(v) is an arc in H whenever...
Pascal Ochem, Alexandre Pinlou, Eric Sopena
EJC
2008
14 years 10 months ago
Grad and classes with bounded expansion II. Algorithmic aspects
Abstract. Classes of graphs with bounded expansion are a generalization of both proper minor closed classes and degree bounded classes. Such classes are based on a new invariant, t...
Jaroslav Nesetril, Patrice Ossona de Mendez
TIT
2008
103views more  TIT 2008»
14 years 10 months ago
Improved Probabilistic Bounds on Stopping Redundancy
For a linear code , the stopping redundancy of is defined as the minimum number of check nodes in a Tanner graph T for such that the size of the smallest stopping set in T is equal...
Junsheng Han, Paul H. Siegel, Alexander Vardy