A generalization of Menger's theorem for certain unicyclic graphs
β Scribed by E. Sampathkumar
- Publisher
- Springer Japan
- Year
- 1992
- Tongue
- English
- Weight
- 154 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0911-0119
No coin nor oath required. For personal study only.
π 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