## Abstract It is shown that a connected graph __G__ spans an eulerian graph if and only if __G__ is not spanned by an odd complete bigraph __K__(2~m~ + 1, 2__n__ + 1). A disconnected graph spans an eulerian graph if and only if it is not the union of the trivial graph with a complete graph of odd
Spanning subgraphs of random graphs
✍ Scribed by Noga Alon; Zoltán Füredi
- Publisher
- Springer Japan
- Year
- 1992
- Tongue
- English
- Weight
- 183 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0911-0119
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract An __n__‐vertex graph is called pancyclic if it contains a cycle of length __t__ for all 3≤__t__≤__n__. In this article, we study pancyclicity of random graphs in the context of resilience, and prove that if __p__>__n__^−1/2^, then the random graph __G__(__n, p__) a.a.s. satisfies the f
## Abstract We shall prove that if __L__ is a 3‐chromatic (so called “forbidden”) graph, and —__R__^__n__^ is a random graph on __n__ vertices, whose edges are chosen independently, with probability __p__, and —__B__^__n__^ is a bipartite subgraph of __R__^__n__^ of maximum size, —__F__^__n__^ is a
## Abstract By Petersen's theorem, a bridgeless cubic graph has a 2‐factor. H. Fleischner extended this result to bridgeless graphs of minimum degree at least three by showing that every such graph has a spanning even subgraph. Our main result is that, under the stronger hypothesis of 3‐edge‐connec