On the existence of super edge-connected graphs with prescribed degrees
β Scribed by Tian, Yingzhi; Meng, Jixiang; Lai, Hongjian; Zhang, Zhao
- Book ID
- 122237925
- Publisher
- Elsevier Science
- Year
- 2014
- Tongue
- English
- Weight
- 393 KB
- Volume
- 328
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The degree profile of an edge e of a finite hypergraph H is the map assigning to a positive integer i the number of vertices of degree i incident with e. The edge degree profile of H is the map describing for any possible degree profile ~ the number of edges in H with degree profile ~. A necessary a
It was proved by Chartrand f hat if G is a graph of order p for which the minimum degree is at least [&I, then the edge-connectivity of G equals the minimum degree of G. It is shown here that one may allow vertices of degree less than $p and still obtain the same conclusion, provided the degrees are