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» Finite locally-quasiprimitive graphs
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DM
2000
115views more  DM 2000»
13 years 5 months ago
Dualizability and graph algebras
We characterize the finite graph algebras which are dualizable. Indeed, a finite graph algebra is dualizable if and only if each connected component of the underlying graph is eith...
Brian A. Davey, Pawel M. Idziak, William A. Lampe,...
COMBINATORICA
2004
127views more  COMBINATORICA 2004»
13 years 5 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
JCT
2006
72views more  JCT 2006»
13 years 5 months ago
Arboricity and tree-packing in locally finite graphs
Nash-Williams' arboricity theorem states that a finite graph is the edge-disjoint union of at most k forests if no set of vertices induces more than k( - 1) edges. We prove a...
Maya Jakobine Stein
APPML
2005
67views more  APPML 2005»
13 years 5 months ago
Semiharmonic bicyclic graphs
Let the trunk of a graph G be the graph obtained by removing all leaves of G. We prove that, for every integer c 2, there are at most finitely many trunks of semiharmonic graphs ...
Stefan Grünewald, Dragan Stevanovic
COMBINATORICS
2004
82views more  COMBINATORICS 2004»
13 years 5 months ago
Decomposing Infinite 2-Connected Graphs into 3-Connected Components
In the 1960's, Tutte presented a decomposition of a 2-connected finite graph into 3-connected graphs, cycles and bonds. This decomposition has been used to reduce problems on...
R. Bruce Richter