Motivated by the work of NeΕ‘etΕil and R ΓΆdl on "Partitions of vertices" we are interested in obtaining some quantitative extensions of their result. In particular, given a natural number r and a graph G of order m with odd girth g, we show the existence of a graph H with odd girth at least g and ord
Note on coloring graphs without odd--minors
β Scribed by Ken-ichi Kawarabayashi
- Book ID
- 108167467
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 115 KB
- Volume
- 99
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A graph G is called (k, d)\*-choosable if, for every list assignment L satisfying [L(v)l = k for all v E V(G), there is an L-coloring of G such that each vertex of G has at most d neighbors colored with the same color as itself. In this note, we prove that every planar graph without 4-cycles and /-c
The R-chromatic number of a graph G is the least number of subsets of vertices forming a partition of V ( G ) , and which induce subgraphs of G without infinite paths. For any integer n 2 2, we give sufficient conditions for a graph containing no subdivision of an infinite complete graph to have a R