A generalization of menger's theorem for certain block—cactus graphs
✍ Scribed by Yubao Guo; Lutz Volkmann
- Publisher
- Springer Japan
- Year
- 1995
- Tongue
- English
- Weight
- 236 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0911-0119
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
This paper generalizes one of the celebrated results in Graph Theory due to Karl. A. Menger (1927), which plays a crucial role in many areas of flow and network theory. This paper also introduces and characterizes strength reducing sets of nodes and arcs in weighted graphs.
An edge-scheduled network N is a multigraph G = (V, E), where each edge e E E has been assigned two real weights: a start time a(e) and a finish time p(e). Such a multigraph models a communication or transportation network. A multiedge joining vertices u and v represents a direct communication (tran