## Abstract A constructive characterization of minimally 2βedge connected graphs, similar to those of Dirac for minimally 2βconnected graphs is given.
MINIMALLY 2-EDGE-CONNECTED GRAPHS
β Scribed by Stephen B. Maurer; Peter J. Slater
- Book ID
- 118717675
- Publisher
- John Wiley and Sons
- Year
- 1979
- Tongue
- English
- Weight
- 309 KB
- Volume
- 319
- Category
- Article
- ISSN
- 0890-6564
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 For an integer __l__β>β1, the __l__βedgeβconnectivity of a connected graph with at least __l__ vertices is the smallest number of edges whose removal results in a graph with __l__ components. A connected graph __G__ is (__k__, __l__)βedgeβconnected if the __l__βedgeβconnectivity of __G_