Large faces in 4-critical planar graphs with minimum degree 4
β Scribed by H. L. Abbott; D. R. Hare; B. Zhou
- Book ID
- 105111807
- Publisher
- Springer-Verlag
- Year
- 1995
- Tongue
- English
- Weight
- 474 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0209-9683
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract A graph __H__ is light in a given class of graphs if there is a constant __w__ such that every graph of the class which has a subgraph isomorphic to __H__ also has a subgraph isomorphic to __H__ whose sum of degrees in __G__ is β€β__w__. Let $\cal G$ be the class of simple planar graphs
## Abstract Our main result is the following theorem. Let __k__ββ₯β2 be an integer, __G__ be a graph of sufficiently large order __n__, and __Ξ΄__(__G__)ββ₯β__n__/__k__. Then: __G__ contains a cycle of length __t__ for every even integer __t__βββ[4, __Ξ΄__(__G__)β+β1]. If __G__ is nonbipartite then
Koester, G., On 4-critical planar graphs with high edge density, Discrete Mathematics 98 (1991) 147-151.