New Examples of Graphs without Small Cycles and of Large Size
β Scribed by Felix Lazebnik; Vasiliy A. Ustimenko
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 553 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0195-6698
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract A proper vertex coloring of a graph __G__β=β(__V,E__) is acyclic if __G__ contains no bicolored cycle. A graph __G__ is acyclically __L__βlist colorable if for a given list assignment __L__β=β{__L__(__v__): __v__:βββ__V__}, there exists a proper acyclic coloringβΟβof __G__ such that Ο(_
## Abstract Let __G__ be a toroidal graph without cycles of a fixed length __k__, and Ο~__l__~(__G__) the list chromatic number of __G__. We establish tight upper bounds of Ο~__l__~(__G__) for the following values of __k__: Β© 2009 Wiley Periodicals, Inc. J Graph Theory 65: 1β15, 2010.