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Rotator Graphs: An Efficient Topology for Point-to-Point Multiprocessor Networks
September 1992 (vol. 3 no. 5)
pp. 622-626
ASCII Text
x 
 
P.F. Corbett, "Rotator Graphs: An Efficient Topology for Point-to-Point Multiprocessor Networks," IEEE Transactions on Parallel and Distributed Systems, vol. 3, no. 5, pp. 622-626, September, 1992.
 
 
BibTex
x
 
@article{ 10.1109/71.159045,
author = {P.F. Corbett},
title = {Rotator Graphs: An Efficient Topology for Point-to-Point Multiprocessor Networks},
journal ={IEEE Transactions on Parallel and Distributed Systems},
volume = {3},
number = {5},
issn = {1045-9219},
year = {1992},
pages = {622-626},
doi = {http://doi.ieeecomputersociety.org/10.1109/71.159045},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - JOUR
JO - IEEE Transactions on Parallel and Distributed Systems
TI - Rotator Graphs: An Efficient Topology for Point-to-Point Multiprocessor Networks
IS - 5
SN - 1045-9219
SP622
EP626
EPD - 622-626
A1 - P.F. Corbett,
PY - 1992
KW - Index Termstopology; point-to-point multiprocessor networks; directed permutation graphs; Faber-Moore graphs; optimal routing algorithm; rotator graphs; fault tolerant; one-step fault diagnosable; Hamiltonian circuit; directed graphs; multiprocessor interconnection networks
VL - 3
JA - IEEE Transactions on Parallel and Distributed Systems
ER -
 
Rotator graphs, a set of directed permutation graphs, are proposed as an alternative to star and pancake graphs. Rotator graphs are defined in a way similar to the recently proposed Faber-Moore graphs. They have smaller diameter, n-1 in a graph with n factorial vertices, than either the star or pancake graphs or the k-ary n-cubes. A simple optimal routing algorithm is presented for rotator graphs. The n-rotator graphs are defined as a subset of all rotator graphs. The distribution of distances of vertices in the n-rotator graphs is presented, and the average distance between vertices is found. The n-rotator graphs are shown to be optimally fault tolerant and maximally one-step fault diagnosable. The n-rotator graphs are shown to be Hamiltonian, and an algorithm for finding a Hamiltonian circuit in the graphs is given.

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Index Terms:
Index Termstopology; point-to-point multiprocessor networks; directed permutation graphs; Faber-Moore graphs; optimal routing algorithm; rotator graphs; fault tolerant; one-step fault diagnosable; Hamiltonian circuit; directed graphs; multiprocessor interconnection networks
Citation:
P.F. Corbett, "Rotator Graphs: An Efficient Topology for Point-to-Point Multiprocessor Networks," IEEE Transactions on Parallel and Distributed Systems, vol. 3, no. 5, pp. 622-626, Sept. 1992, doi:10.1109/71.159045
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