Vulnerability in graphs of diameter five
β Scribed by Cheng-De Xu
- Book ID
- 107482074
- Publisher
- Chinese Electronic Periodical Services
- Year
- 2003
- Tongue
- English
- Weight
- 338 KB
- Volume
- 7
- Category
- Article
- ISSN
- 1007-6417
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π SIMILAR VOLUMES
The analogue of Menger's Theorem on connectivity has been investigated for graphs of low diameter in which the removal of a set of lines increases the diameter. When the diameter is at most three, such a theorem has been proven already. Also, examples have been constructed to show that the result do
Concern over fault tolerance in the design of interconnection networks has stimulated interest in ΓΏnding large graphs with maximum degree and diameter D such that the subgraphs obtained by deleting any set of s vertices have diameter at most D , this value being close to D or even equal to it. This
An antipodal distance-regular graph of diameter four or five is a covering graph of a connected strongly regular graph. We give existence conditions for these graphs and show for some types of strongly regular graphs that no nontrivial covers exist.