Graphs & digraphs (2nd ed.)
Extensions of networks with given diameter
Discrete Mathematics
Graphs on alphabets as models for large interconnection networks
Discrete Applied Mathematics - Special double volume: interconnection networks
The Partial Line Digraph Technique in the Design of Large Interconnection Networks
IEEE Transactions on Computers
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A new way to expand De Bruijn and Kautz graphs is presented. It consists of deleting superfluous sets of edges (i.e., those whose removal does not increase the diameter) and adding new vertices and new edges preserving the maximum degree and the diameter. The number of vertices added to the Kautz graph, for a fixed maximum degree greater than four, is exponential on the diameter. Tables with lower bounds for the order of superfluous sets of edges and the number of vertices that can be added, are presented.