Let Ο l (G), Ο l (G), Ο l (G), and (G) denote, respectively, the list chromatic number, the list chromatic index, the list total chromatic number, and the maximum degree of a non-trivial connected outerplane graph G. We prove the following results. ( 1 and only if G is an odd cycle. This proves the
Choosability of Powers of Circuits
β Scribed by Anton Prowse; Douglas R. Woodall
- Publisher
- Springer Japan
- Year
- 2003
- Tongue
- English
- Weight
- 132 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0911-0119
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let S(r ) denote a circle of circumference r. The circular consecutive choosability ch cc (G) of a graph G is the least real number t such that
## It is proved that a planar graph G without five cycles is three degenerate, hence, four choosable, and it is also edge-(A( G) + l)-h
## Abstract Suppose the edges of a graph __G__ are assigned 3βelement lists of real weights. Is it possible to choose a weight for each edge from its list so that the sums of weights around adjacent vertices were different? We prove that the answer is positive for several classes of graphs, includi
This paper discusses the circular version of list coloring of graphs. We give two definitions of the circular list chromatic number (or circular choosability) c;l Γ°GΓ of a graph G and prove that they are equivalent. Then we prove that for any graph G, c;l Γ°GΓ ! l Γ°GΓ Γ 1. Examples are given to show