## 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
Contractions of graphs with no spanning eulerian subgraphs
β Scribed by P. A. Catlin
- Publisher
- Springer-Verlag
- Year
- 1988
- Tongue
- English
- Weight
- 389 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0209-9683
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We present two extensions of a theorem by Alon and Yuster (1992, Graphs Comb., 8, 95-102) that give degree conditions guaranteeing an almost-spanning subgraph isomorphic to a given graph. The first extension gives a sharp degree condition when the desired subgraph consists of small connected compone
## Abstract By Petersen's theorem, a bridgeless cubic graph has a 2βfactor. 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 3βedgeβconnec