Work-preserving emulations of fixed-connection networks
We study the problem of emulating TG steps of an NG-node guest network on an NH-node host network. We call an emulation work-preserving if the time required by the host, TH, is O(TGNG/NH) because then both the guest and host networks perform the same total work, Θ(TGNG), to within a constant factor. We say that an emulation is real-time if TH = O(TG), because then the host emulates the guest with constant delay. Although many isolated emulation results have been proved for specific networks in the past, and measures such as dilation and congestion were known to be important, the field has lacked a model within which general results and meaningful lower bounds can be proved. We attempt to provide such a model, along with corresponding general techniques and specific results.
Koch, R; Leighton, T; Maggs, B; Rao, S; Rosenberg, A
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