Fundamental cycles and graph embeddings
โ Scribed by Han Ren; HongTao Zhao; HaoLing Li
- Publisher
- SP Science China Press
- Year
- 2009
- Tongue
- English
- Weight
- 223 KB
- Volume
- 52
- Category
- Article
- ISSN
- 1674-7283
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We embed cycles into IEH graphs. First, IEH graphs are proved to be Hamiltonian except when they are of size 2" -1 for all n > 2. Next, we show that for an IEH graph of size N, an arbitrary cycle of even length N, where 3 < Ne < N is found. We also find an arbitrary cycle of odd length NO where 2 <
## Abstract We find a lower bound for the proportion of face boundaries of an embedded graph that are nearly light (that is, they have bounded length and at most one vertex of large degree). As an application, we show that every sufficiently large __k__โcrossingโcritical graph has crossing number a