Node-disjoint paths in a level block of generalized hierarchical completely connected networks

Generalized hierarchical completely connected networks (for short, HCCs), which include conventional hierarchical networks, have been proposed. An HCC is a network topology for a massively parallel computer system. To apply an HCC to a parallel computer system effectively and to execute data processing on the HCC efficiently, the inherent fault-tolerant properties in an HCC must be revealed. However, these properties have not been clarified sufficiently. In this paper, node-disjoint paths are verified for a level block of the HCC.