There is considerable interest in constructing large networks with given diameter and maximum degree. In certain applications, there is a natural restriction for the networks to be planar. Thus, consider the problem of determining the maximum number of nodes in a planar network with maximum degree D
New large graphs with given degree and diameter six
✍ Scribed by G�mez, J.; Pelayo, I.; Balbuena, C.
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 166 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0028-3045
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✦ Synopsis
In this paper, a method for obtaining large diameter 6 graphs by replacing some vertices of a Moore bipartite diameter 6 graph with complete K h graphs is proposed. These complete graphs are joined to each other and to the remaining nonmodified graphs by means of new edges and by using a special diameter 2 graph. The degree of the graph so constructed coincides with the original one.
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