A generalization of Menger’s Theorem
✍ Scribed by Sunil Mathew; M.S. Sunitha
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 226 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
✦ Synopsis
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.
📜 SIMILAR VOLUMES
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
## Abstract Menger's Theorem for digraphs states that for any two vertex sets __A__ and __B__ of a digraph __D__ such that __A__ cannot be separated from __B__ by a set of at most __t__ vertices, there are __t + 1__ disjoint __A__–__B__‐paths in __D__. Here a short and elementary proof of a more ge