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Efficient Communication Algorithms in Hexagonal Mesh Interconnection Networks

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3 Author(s)
Albader, B. ; Dept. of Comput. Sci., Kuwait Univ., Safat, Kuwait ; Bose, B. ; Flahive, M.

In this paper, we show that the hexagonal mesh networks developed in the early 1990s are a special case of the EJ networks that have been considered more recently. Using a node addressing scheme based on the EJ number system, we give a shortest path routing algorithm for hexagonal mesh networks. We also extend the known efficient one-to-all broadcasting algorithm on hexagonal mesh networks to algorithms for one-to-one personalized broadcasting, all-to-all broadcasting, and all-to-all personalized broadcasting algorithms. Their time complexity and optimality are analyzed.

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Parallel and Distributed Systems, IEEE Transactions on  (Volume:23 ,  Issue: 1 )