The least eigenvalue of a graph with cut vertices
โ Scribed by Yi Wang; Yi-Zheng Fan
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 175 KB
- Volume
- 433
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper, we characterize the extremal graph having the maximal Laplacian spectral radius among the connected bipartite graphs with n vertices and k cut vertices, and describe the extremal graph having the minimal least eigenvalue of the adjacency matrices of all the connected graphs with n ver
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