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A computation of the shortest paths in optimal two-dimensional circulant networks | Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics. 2020. № 47. DOI: 10.17223/20710410/47/7

For a family of optimal two-dimensional circulant networks with an analytical description, two new improved versions of the shortest paths search algorithm with a constant complexity estimate are obtained. A simple, based on the geometric model of circulant graphs, proof of the formulas used for the shortest path search algorithm is given. Algorithms of pair exchanges are presented and their estimates are given for networks on a chip with a topology in the form of the considered graphs. New versions of the algorithm also improve the previously proposed shortest path search algorithm for optimal generalized Petersen graphs with an analytical description.
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  • Title A computation of the shortest paths in optimal two-dimensional circulant networks
  • Headline A computation of the shortest paths in optimal two-dimensional circulant networks
  • Publesher Tomask State UniversityTomsk State University
  • Issue Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics 47
  • Date:
  • DOI 10.17223/20710410/47/7
Keywords
двумерные циркулянтные графы, диаметр, кратчайшие пути, оптимальные обобщённые графы Петерсена, сети на кристалле, two-dimensional circulant networks, diameter, shortest paths, optimal generalized Petersen graphs, networks-on-chip
Authors
References
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A computation of the shortest paths in optimal two-dimensional circulant networks | Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics. 2020. № 47. DOI: 10.17223/20710410/47/7
A computation of the shortest paths in optimal two-dimensional circulant networks | Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics. 2020. № 47. DOI: 10.17223/20710410/47/7
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