Sau, Ignasi and Žerovnik, Janez - An optimal permutation routing algorithm on full-duplex hexagonal networks

dmtcs:443 - Discrete Mathematics & Theoretical Computer Science, January 1, 2008, Vol. 10 no. 3
An optimal permutation routing algorithm on full-duplex hexagonal networks

Authors: Sau, Ignasi and Žerovnik, Janez

In the permutation routing problem, each processor is the origin of at most one packet and the destination of no more than one packet. The goal is to minimize the number of time steps required to route all packets to their respective destinations, under the constraint that each link can be crossed simultaneously by no more than one packet. We study this problem in a hexagonal network, i.e. a finite subgraph of a triangular grid, which is a widely used network in practical applications. We present an optimal distributed permutation routing algorithm on full-duplex hexagonal networks, using the addressing scheme described by F.G. Nocetti, I. Stojmenovic and J. Zhang (IEEE TPDS 13(9): 962-971, 2002). Furthermore, we prove that this algorithm is oblivious and translation invariant.


Source : oai:HAL:hal-00972334v1
Volume: Vol. 10 no. 3
Section: Distributed Computing and Networking
Published on: January 1, 2008
Submitted on: March 26, 2015
Keywords: [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]


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