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COMBINATORICA
2004
127views more  COMBINATORICA 2004»
13 years 11 months ago
On Infinite Cycles I
We extend the basic theory concerning the cycle space of a finite graph to infinite locally finite graphs, using as infinite cycles the homeomorphic images of the unit circle in t...
Reinhard Diestel, Daniela Kühn
CORR
2006
Springer
144views Education» more  CORR 2006»
13 years 11 months ago
On the logical definability of certain graph and poset languages
We show that it is equivalent, for certain sets of finite graphs, to be definable in CMS (counting monadic second-order, a natural extension of monoadic second-order logic), and t...
Pascal Weil
DLT
2004
14 years 29 days ago
Recognizable Sets of Graphs, Hypergraphs and Relational Structures: A Survey
New results on the recognizability of sets of finite graphs, hypergraphs and relational structures are presented. The general framework of this research which associates tightly a...
Bruno Courcelle
CIE
2008
Springer
14 years 1 months ago
Computable Categoricity of Graphs with Finite Components
A computable graph is computably categorical if any two computable presentations of the graph are computably isomorphic. In this paper we investigate the class of computably catego...
Barbara F. Csima, Bakhadyr Khoussainov, Jiamou Liu