The arrangement graphs are a class of generalized star graphs. In this paper we construct a graph that consists of the maximum number of directed edge-disjoint spanning trees in an arrangement graph. The paths that connect the common root node to any given node through different spanning trees are n
Edge disjoint spanning trees in random graphs
✍ Scribed by A. M. Frieze; T. Łuczak
- Publisher
- Springer Netherlands
- Year
- 1990
- Tongue
- English
- Weight
- 145 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0031-5303
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📜 SIMILAR VOLUMES
Let G be a simple graph with n vertices and let G c denote the complement of G . Let ( G ) denote the number of components of G and G ( E ) the spanning subgraph of G with edge set E . where the minimum is taken over all such partitions . In [ Europ . J . Combin . 7 (1986) , 263 -270] , Payan conj
## Abstract A set __A__ of vertices of an undirected graph __G__ is called __k__‐__edge‐connected in G__ if for all pairs of distinct vertices __a, b__∈__A__, there exist __k__ edge disjoint __a, b__‐paths in __G__. An __A__‐__tree__ is a subtree of __G__ containing __A__, and an __A__‐__bridge__ i