This note can be treated a s a supplement to a paper written by Bollobas which was devoted to the vertices of a given degree in a random graph. We determine some values of the edge probability p for which the number of vertices of a given degree of a random graph G E ?An, p) asymptotically has a nor
The number of cut-vertices in a graph of given minimum degree
β Scribed by Michael O. Albertson; David M. Berman
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 228 KB
- Volume
- 89
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
Albertson, M.O. and D.M. Berman, The number of cut-vertices in a graph of given minimum degree, Discrete Mathematics 89 (1991) 97-100. A graph with n vertices and minimum degree k 2 2 can contain no more than (2k -2)n/(kz -2) cut-vertices. This bound is asymptotically tight. * Research supported in part by NSF DMS 85 13418. ** Research conducted while a visiting scholar at Smith College.
π SIMILAR VOLUMES
The maximum number of cutvertices in a connected graph of order n having minimum degree at least 6 is determined for 6 > 5.
## Tazawa, S., T. Shirakura and S. Tamura, Enumeration of digraphs with given number of vertices of odd out-degree and vertices of odd in-degree, Discrete Mathematics 90 (1991) 63-74. In a digraph, a vertex of odd out(in)-degree is called an odd out(in)-vertex. This paper will give the ordinary g