## Abstract Let __p__ β₯ __2__ be a fixed integer. Let __G__ be a simple and 2βedgeβconnected graph on __n__ vertices, and let __g__ be the girth of __G.__ If __d__(__u__) + __d__(__v__) β₯ (__2__/(__g β 2__))((__n/p__) β 4 + __g__) holds whenever __uv__ β __E__(__G__), and if __n__ is sufficiently l
Spanning eulerian subgraphs of bounded degree in triangulations
β Scribed by Zhicheng Gao; Nicholas C. Wormald
- Publisher
- Springer Japan
- Year
- 1994
- Tongue
- English
- Weight
- 439 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0911-0119
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 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