Edge-Wide-Diameter of Graphs with Diameterd
β Scribed by Toru Kojima; Kiyoshi Ando; Atsushi Kaneko
- Publisher
- Springer
- Year
- 2002
- Tongue
- English
- Weight
- 97 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0218-0006
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract Let __u__ and __v__ be any two distinct nodes of an undirected graph __G__, which is __k__βconnected. A container __C__(__u__,__v__) between __u__ and __v__ is a set of internally disjoint paths {__P__~1~,__P__~2~,β¦,__P__~__w__~} between __u__ and __v__ where 1 β€ __w__ β€ __k__. The widt
## 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