On nonplanarity of cubic graphs
β Scribed by L. P. Plachta
- Book ID
- 118804165
- Publisher
- Springer US
- Year
- 2012
- Tongue
- English
- Weight
- 352 KB
- Volume
- 187
- Category
- Article
- ISSN
- 1573-8795
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let G = (V; E) be a simple graph. The NON-PLANAR DELETION problem consists in ΓΏnding a smallest subset E β E such that H =(V; E\E ) is a planar graph. The SPLITTING NUMBER problem consists in ΓΏnding the smallest integer k ΒΏ 0, such that a planar graph H can be deΓΏned from G by k vertex splitting ope
It is shown that embeddings of planar graphs in arbitrary surfaces other than the 2-sphere have a special structure. It turns out that these embeddings can be described in terms of noncontractible curves in the surface, meeting the graph in at most two points (which may taken to be vertices of the g