Graph Algorithms
Dense Trivalent Graphs for Processor Interconnection
IEEE Transactions on Computers
Improved Construction Techniques for (d, k) Graphs
IEEE Transactions on Computers
Topological constraints on interconnection-limited logic
SWCT '64 Proceedings of the 1964 Proceedings of the Fifth Annual Symposium on Switching Circuit Theory and Logical Design
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A construction is presented which, given a fixed undirected graph of low degree and small average path length, yields an infinite sequence of low diameter graphs of increasing order and fixed degree. As examples of the construction, infinite sequences of low diameter graphs are presented with degrees in the range 3 to 30. Expressed as a function of the order of the graphs, the degree 3 sequence ha