Explicit constructions of graphs without short cycles and low density codes
β Scribed by G. A. Margulis
- Book ID
- 110564330
- Publisher
- Springer-Verlag
- Year
- 1982
- Tongue
- English
- Weight
- 364 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0209-9683
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π SIMILAR VOLUMES
## 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.
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