Minimally 3-connected graphs
β Scribed by Robin W Dawes
- Book ID
- 107884241
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 489 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
For a connected graph G = (V, E), an edge set S β E is a restricted edge cut if G -S is disconnected and there is no isolated vertex in G -S. The cardinality of a minimum restricted edge cut of G is the restricted edge connectivity of G, denoted by Ξ» (G). , where ΞΎ(G) is the minimum edge degree of
In this article, we deal with a connectivity problem stated by Maurer and Slater to characterize minimally k-edge'-connected graphs. This problem has been solved for k = 1,2 and 3, and we recall herein the results obtained. Then we give some partial results concerning the case k =4: representation o
## Abstract A constructive characterization of minimally 2βedge connected graphs, similar to those of Dirac for minimally 2βconnected graphs is given.