Packing and Covering Triangles inK4-free Planar Graphs
✍ Scribed by Penny Haxell, Alexandr Kostochka, Stéphan Thomassé
- Book ID
- 118783093
- Publisher
- Springer Japan
- Year
- 2011
- Tongue
- English
- Weight
- 233 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0911-0119
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
It is shown that if G is a graph such that the maximum size of a set of pairwise edge-disjoint triangles is v(G), then there is a set C of edges of G of size at most (3 -e)v(G) such that E(T) N C 7~ 0 for every triangle T of G, where e> 3. This is the first nontrivial bound known for a long-standing
In Section 1 some lower bounds are given for the maximal number of edges of a (p -l)colorable partial graph. Among others we show that a graph on n vertices with m edges has a (p -l)-colorable partiai graph with at least mT,.$(;) edges, where T,,p denotes the so called Turin number. These results ar