A 2-assignment on a graph G (V,E) is a collection of pairs Lv of allowed colors speciยฎed for all vertices v PV. The graph G (with at least one edge) is said to have oriented choice number 2 if it admits an orientation which satisยฎes the following property: For every 2-assignment there exists a choic
Circular list colorings of some graphs
โ Scribed by Guanghui Wang; Guizhen Liu; Jiguo Yu
- Publisher
- Springer-Verlag
- Year
- 2006
- Tongue
- English
- Weight
- 193 KB
- Volume
- 20
- Category
- Article
- ISSN
- 1598-5865
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Suppose that G is a finite simple graph and w is a weight function which assigns to each vertex of G a nonnegative real number. Let C be a circle of length t . A t-circular coloring of (G,w) is a mapping A of the vertices of G to arcs of C such that A(%) n A(y) = 0 if (x, y) E E ( G ) and A(x) has l
## Abstract The notion of (circular) colorings of edgeโweighted graphs is introduced. This notion generalizes the notion of (circular) colorings of graphs, the channel assignment problem, and several other optimization problems. For instance, its restriction to colorings of weighted complete graphs
The following question was raised by Bruce Richter. Let G be a planar, 3-connected graph that is not a complete graph. Denoting by d(v) the degree of vertex v, is G L-list colorable for every list assignment L with |L(v)|=min{d(v), 6} for all v โ V (G)? More generally, we ask for which pairs (r, k)