Generalize deadlock-free routing to multiple and dynamic faults

Develop deadlock-free routing schemes for degree-six triangular-lattice meshes and tori that handle multiple link failures and dynamic topology changes beyond the restricted single static bidirectional-link failure model.

Background

The paper establishes deadlock-free minimal routing for a finite triangular-lattice mesh and its periodic torus under healthy operation, and extends the construction only to one statically known, globally coordinated bidirectional link failure. The extension uses rotated turn restrictions and local triangle bypasses while preserving the respective one-VC and two-VC guarantees.

The authors explicitly identify multiple-fault and dynamic-fault routing as unresolved. Such settings may invalidate the prescribed bypasses, remove several channels through node failures, or introduce dependencies between old and new routing configurations during reconfiguration.