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» The branchwidth of graphs and their cycle matroids
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DM
2008
115views more  DM 2008»
13 years 5 months ago
Characterizations of postman sets
Using results by McKee and Woodall on binary matroids, we prove that the set of postman sets has odd cardinality, generalizing a result by Toida on the cardinality of cycles in Eu...
Néstor E. Aguilera, Valeria A. Leoni
ISAAC
2005
Springer
106views Algorithms» more  ISAAC 2005»
13 years 11 months ago
Generating Cut Conjunctions and Bridge Avoiding Extensions in Graphs
Let G = (V, E) be an undirected graph, and let B ⊆ V × V be a collection of vertex pairs. We give an incremental polynomial time algorithm to enumerate all minimal edge sets X â...
Leonid Khachiyan, Endre Boros, Konrad Borys, Khale...
LMCS
2006
119views more  LMCS 2006»
13 years 6 months ago
The monadic second-order logic of graphs XVI : Canonical graph decompositions
This article establishes that the split decomposition of graphs introduced by Cunnigham, is definable in Monadic Second-Order Logic.This result is actually an instance of a more ge...
Bruno Courcelle