Partitions of Numbers for Finding Certain Graphs
β Scribed by Fielder, Daniel C.
- Book ID
- 114615022
- Publisher
- IEEE
- Year
- 1968
- Tongue
- English
- Weight
- 826 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0018-9359
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let G be an infinite graph; define de& G to be the least m such that any partition P of the vertex set of G into sets of uniformly bounded cardinality contains a set which is adjacent to at least m Other sets of the partition. If G is either a regular tree 01 a triangtiisr, sqzart or hexagonal plana
Let G be a planar graph and let g(G) and Γ(G) be its girth and maximum degree, respectively. We show that G has an edge-partition into a forest and a subgraph H so that (i) -cycles (though it may contain 3-cycles). These results are applied to find the following upper bounds for the game coloring n