On the number of 1-factors of locally finite graphs
✍ Scribed by François Bry
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 477 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0095-8956
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📜 SIMILAR VOLUMES
The automorphism-group of an infinite graph acts in a natural way on the set of d-fibers (components of the set of rays with respect to the Hausdorff metric). For connected, locally finite, almost transitive graphs the kernel of this action is proved to be the group of bounded automorphisms. This co
## Abstract The topological approach to the study of infinite graphs of Diestel and KÜhn has enabled several results on Hamilton cycles in finite graphs to be extended to locally finite graphs. We consider the result that the line graph of a finite 4‐edge‐connected graph is hamiltonian. We prove a
## Abstract For integers __d__≥0, __s__≥0, a (__d, d__+__s__)‐__graph__ is a graph in which the degrees of all the vertices lie in the set {__d, d__+1, …, __d__+__s__}. For an integer __r__≥0, an (__r, r__+1)‐__factor__ of a graph __G__ is a spanning (__r, r__+1)‐subgraph of __G__. An (__r, r__+1)‐