Computer system and method using a Kautz-like digraph to interconnect computer nodes and having control back channel between nodes. A multinode computing system includes a large plurality of computing nodes interconnected via a Kautz topology having order O, diameter n, and degree k. The order equals (k+1)kn−1; The data interconnections from a node x to a node y in the topology satisfy the relationship y=(−x*k−j) mod O, where 1≦j≦k; and each x,y pair includes a unidirectional control link from node y to node x to convey flow control and error information from a receiving node y to a transmitting node x.
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