We investigate the values of t(n), the maximum number of edges in a graph with n vertices and not containing a four-cycle. Techniques for finding these are developed and the values of t(n) for all n up to 21 are obtained. All the corresponding extremal graphs are found.
Extremal graphs without three-cycles or four-cycles
β Scribed by David K. Garnick; Y. H. Harris Kwong; Felix Lazebnik
- Publisher
- John Wiley and Sons
- Year
- 1993
- Tongue
- English
- Weight
- 594 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0364-9024
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β¦ Synopsis
Abstract
We derive bounds for f(v), the maximum number of edges in a graph on v vertices that contains neither threeβcycles nor fourβcycles. Also, we give the exact value of f(v) for all v up to 24 and constructive lower bounds for all v up to 200. Β© 1993 John Wiley & Sons, Inc.
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