7 search results - page 1 / 2 » The bond and cycle spaces of an infinite graph |
JGT
2008
13 years 11 months ago
2008
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
JGT
2008
13 years 11 months ago
2008
: 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...
COMBINATORICA
2004
13 years 10 months ago
2004
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...
COMBINATORICS
2004
13 years 10 months ago
2004
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...