Conflict-free star-access in parallel memory systems

  • Authors:
  • Sajal K. Das;Irene Finocchi;Rossella Petreschi

  • Affiliations:
  • Department of Computer Science and Engineering, The University of Texas at Arlington, Arlington, TX and Department of Computer Science, University of Rome "La Sapienza";Department of Computer Science, University of Rome "La Sapienza", Rome, Italy;Department of Computer Science, University of Rome "La Sapienza", Rome, Italy

  • Venue:
  • Journal of Parallel and Distributed Computing
  • Year:
  • 2006

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Abstract

We study conflict-free data distribution schemes in parallel memories in multiprocessor system architectures. Given a host graph G, the problem is to map the nodes of G into memory modules such that any instance of a template type T in G can be accessed without memory conflicts. A conflict occurs if two or more nodes of T are mapped to the same memory module. The mapping algorithm should: (i) be fast in terms of data access (possibly mapping each node in constant time); (ii) minimize the required number of memory modules for accessing any instance in G of the given template type; and (iii) guarantee load balancing on the modules. In this paper, we consider conflict-free access to star templates, i.e., to any node of G along with all of its neighbors. Such a template type arises in many classical algorithms like breadth-first search in a graph, message broadcasting in networks, and nearest neighbor based approximation in numerical computation. We consider the star-template access problem on two specific host graphs--tori and hypercubes--that are also popular interconnection network topologies. The proposed conflict-free mappings on these graphs are fast, use an optimal or provably good number of memory modules, and guarantee load balancing.