𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the Cycle Space of an Infinite 3-connected Graph

✍ Scribed by R. Halin


Book ID
120766375
Publisher
Springer
Year
2002
Tongue
English
Weight
819 KB
Volume
41
Category
Article
ISSN
1422-6383

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


The bond and cycle spaces of an infinite
✍ Karel Casteels; R. Bruce Richter πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 166 KB πŸ‘ 1 views

## Abstract 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 KΓΌhn introduced a different cycle space of infinite graphs based on allowing infinite circuits. A more general point of view w

The cycle space of an embedded graph
✍ B. Richter; H. Shank πŸ“‚ Article πŸ“… 1984 πŸ› John Wiley and Sons 🌐 English βš– 258 KB πŸ‘ 1 views

## Abstract Let __G__ be a connected graph with edge set __E__ embedded in the surface βˆ‘. Let __G__Β° denote the geometric dual of __G__. For a subset __d__ of __E__, let Ο„__d__ denote the edges of __G__Β° that are dual to those edges of __G__ in __d__. We prove the following generalizations of well‐

Connected cutsets of a graph and triangl
✍ P Duchet; M Las Vergnas; H Meyniel πŸ“‚ Article πŸ“… 1986 πŸ› Elsevier Science 🌐 English βš– 602 KB

We investigate some properties of graphs whose cycle space has a basis constituted of triangles ('null-homotopic' graphs). We obtain characterizations in the case of planar graphs, and more generally, of graphs not contractible onto Ks. These characterizations involve separating subsets and decompos

On the Number of Cycles in 3-Connected C
✍ R.E.L Aldred; Carsten Thomassen πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 228 KB

Let f (n) be the minimum number of cycles present in a 3-connected cubic graph on n vertices. In 1986, C. A. Barefoot, L. Clark, and R. Entringer (Congr. Numer. 53, 1986) showed that f (n) is subexponential and conjectured that f (n) is superpolynomial. We verify this by showing that, for n sufficie