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» The bond and cycle spaces of an infinite graph
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JGT
2008
105views more  JGT 2008»
13 years 4 months ago
The bond and cycle spaces of an infinite graph
Bonnington and Richter defined the cycle space of an infinite graph to consist of the sets of edges of subgraphs having even degree at every vertex. Diestel and K
Karel Casteels, R. Bruce Richter
JGT
2008
150views more  JGT 2008»
13 years 4 months ago
Cycle spaces in topological spaces
: We develop a general model of edge spaces in order to generalize, unify, and simplify previous work on cycle spaces of infinite graphs. We give simple topological criteria to sho...
Antoine Vella, R. Bruce Richter
COMBINATORICA
2004
119views more  COMBINATORICA 2004»
13 years 4 months ago
On Infinite Cycles II
We extend the basic theory concerning the cycle space of a finite graph to arbitrary infinite graphs, using as infinite cycles the homeomorphic images of the unit circle in the gr...
Reinhard Diestel, Daniela Kühn

Book
1197views
15 years 2 months ago
Graph Theory with Applications
A classic book on graph theory.
J.A. Bondy and U.S.R. Murty
COMBINATORICS
2004
82views more  COMBINATORICS 2004»
13 years 4 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