Packing Triangles inK4-Free Graphs
β Scribed by Shunchang Huang, Lingsheng Shi
- Book ID
- 120788838
- Publisher
- Springer Japan
- Year
- 2013
- Tongue
- English
- Weight
- 155 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0911-0119
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π 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
We consider the two problems of finding the maximum number of node disjoint triangles and edge disjoint triangles in an undirected graph. We show that the first (respectively second) problem is polynomially solvable if the maximum degree of the input graph is at most 3 (respectively 4), whereas it i