An optimal PRAM algorithm for a spanning tree on trapezoid graphs

  • Authors:
  • Debashis Bera;Madhumangal Pal;Tapan K. Pal

  • Affiliations:
  • Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore-721 102, INDIA;Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore-721 102, INDIA;Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore-721 102, INDIA

  • Venue:
  • The Korean Journal of Computational & Applied Mathematics
  • Year:
  • 2003

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Abstract

Let G be a graph with n vertices and m edges. The problem of constructing a spanning tree is to find a connected subgraph of G with n vertices and n - 1 edges. In this paper, we propose an O(log n) time parallel algorithm with O(n/log n) processors on an EREW PRAM for constructing a spanning tree on trapezoid graphs.