Concentration, load balancing, partial permutation routing, and superconcentration on cube-connected cycles parallel computers

  • Authors:
  • Gene Eu Jan;Ming-Bo Lin

  • Affiliations:
  • Department of Computer Science, National Taipei University;Department of Electronic Engineering, National Taiwan University of Science and Technology, 43, Keelung Road, Section 4, Taipei 106, Taiwan

  • Venue:
  • Journal of Parallel and Distributed Computing
  • Year:
  • 2005

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Abstract

The cube-connected cycles (CCC) was proposed by Preparata and Vuillemin as an efficient general-purpose parallel system for its fixed-degree, and compact and regular layout. In this paper, a few of the basic algorithms on CCC(n,2^n) interconnection networks are addressed and then applied to concentration, superconcentration, partial permutation routing, and load-balancing problems. The results show that both concentration and superconcentration problems can be solved in O(n) time and the on-line partial permutation routing problem in O(n^2) time with O(1) buffers for each node, where n is the dimension of CCC(n,2^n) interconnection networks. The load-balancing problem based on superconcentration can be solved in O(Mn) time, where M is the maximum number of tasks in each node.