Bell System Technical Journal · 1979 · 82 citations · 4 references
ComputingComputer ScienceCombinatoricsComputer NetworksInterconnection NetworksCombinatorial OptimizationCommunication NetworksGraph TheoryNetwork Flow AlgorithmsNetwork OptimizationNetwork TopologyNetwork Design ProblemsNetwork Flow ProblemsNonblocking NetworksNonblocking PropertiesRearrangeably Nonblocking Networks
In this paper, we study various communication networks, such as concentrators, superconcentrators, generalizers, and rearrangeable and nonblocking networks. We improve bounds for the number of edges (which can be viewed as approximations of the cost) in some networks by combinatorial analysis.
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P. Hall · Journal of the London Mathematical Society · 1935 · 2K citations
Nicholas Pippenger · SIAM Journal on Computing · 1977 · 119 citations
On non-linear lower bounds in computational complexity
Leslie G. Valiant · 1975 · 68 citations · Full text
Nicholas Pippenger · SIAM Journal on Computing · 1978 · 21 citations · Full text