The constructive characterization of (κ,ℓ)-edge-connected digraphs
✍ Scribed by Erika R. Kovács; László A. Végh
- Book ID
- 106167789
- Publisher
- Springer-Verlag
- Year
- 2011
- Tongue
- English
- Weight
- 320 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0209-9683
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📜 SIMILAR VOLUMES
## Abstract Let __G__ = (__V__,__E__) be a graph or digraph and __r__ : __V__ → __Z__~+~. An __r__‐detachment of __G__ is a graph __H__ obtained by ‘splitting’ each vertex ν ∈ __V__ into __r__(ν) vertices. The vertices ν~1~,…,ν~__r__(ν)~ obtained by splitting ν are called the __pieces__ of ν in __H
Let k be a positive integer, and D = (V (D), E(D)) be a minimally k-edge-connected simple digraph. We denote the outdegree and indegree of x ∈ V (D) by δ D (x) and ρ D (x), respectively. Let u + (D) denote the number of vertices W. Mader asked the following question in [Mader, in Paul Erdös is Eigh