Menger's theorem for countable graphs
β Scribed by Ron Aharoni
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 609 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract A wellβknown conjecture of ErdΕs states that given an infinite graph __G__ and sets __A__,βββ__V__(__G__), there exists a family of disjoint __A__βββ__B__ paths π together with an __A__βββ__B__ separator __X__ consisting of a choice of one vertex from each path in π . There is a natural
## 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 __tβ+β1__ disjoint __A__β__B__βpaths in __D__. Here a short and elementary proof of a more ge