## Abstract An edge __e__ of a 3โconnected graph __G__ is said to be __removable__ if __G__ โ __e__ is a subdivision of a 3โconnected graph. If __e__ is not removable, then __e__ is said to be __nonremovable.__ In this paper, we study the distribution of removable edges in 3โconnected graphs and pr
Edge-connectivity in p-partite graphs
โ Scribed by Lutz Volkmann
- Publisher
- John Wiley and Sons
- Year
- 1989
- Tongue
- English
- Weight
- 166 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
โฆ Synopsis
Let G = (V, โฌ1 be a finite, simple p-partite graph with minimum degree 6 and edge-connectivity A. It is proved that if IVI d (2pS)/(p -1) -2 or in special cases that if IVI I ( 2 p 6 ) / ( p -1) -1, then A = S . It is further shown that this result is best possible.
๐ SIMILAR VOLUMES
The super edge connectivity properties of a graph G can be measured by the restricted edge connectivity ะ(G). We evaluate ะ(G) and the number of i-cutsets C i (G), d ี i ี 2d ฯช 3, explicitly for each d-regular edge-symmetric graph G. These results improve the previous one by R. Tindell on the same s
## Abstract A constructive characterization of minimally 2โedge connected graphs, similar to those of Dirac for minimally 2โconnected graphs is given.
We present a reduction theorem for the class of all finite 3-connected graphs which does not make use of the traditional contraction of certain connected subgraphs. ## 1998 Academic Press Contractible edges play an important role in the theory of 3-connected graphs. Besides the famous wheel theore
## Abstract For an integer __l__โ>โ1, the __l__โedgeโconnectivity 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__)โedgeโconnected if the __l__โedgeโconnectivity of __G_