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
Circular consecutive choosability of k-choosable graphs
β Scribed by Daphne Liu,; Serguei Norine,; Zhishi Pan;; Xuding Zhu
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 191 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
β¦ Synopsis
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
π SIMILAR VOLUMES
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
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A graph G = (V , E) is called (k, k )-total weight choosable if the following holds: For any total list assignment L which assigns to each vertex x a set L(x) of k real numbers, and assigns to each edge e a set L(e) of k real numbers, there is a mapping f : V βͺE β R such that f (y) β L(y) for any y
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