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» The branchwidth of graphs and their cycle matroids
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DM
2008
115views more  DM 2008»
13 years 7 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»
14 years 1 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 7 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