The minimal cost maximum matching of a graph (supplementary remarks)
✍ Scribed by H. Müller-Merbach
- Publisher
- Springer
- Year
- 1971
- Tongue
- English
- Weight
- 141 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0340-9422
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract A graph __g__ of diameter 2 is minimal if the deletion of any edge increases its diameter. Here the following conjecture of Murty and Simon is proved for __n__ < __n__~o~. If __g__ has __n__ vertices then it has at most __n__^2^/4 edges. The only extremum is the complete bipartite graph
Let G be a minimally k-edge-connected simple graph and u\*(G) be the number of vertices of degree k in G. proved that (i) uk(G) 2 l(jGl -1)/(2k + l)] + k + 1 for even k, and (ii) uI(G) 2 [lGl/(k + l)] + k for odd k 35 and u,(G) 2 lZlGl/(k + l)] + k -2 for odd k 27, where ICI denotes the number of v