Fast parallel edge colouring of graphs

  • Authors:
  • G. Sajith;S. Saxena

  • Affiliations:
  • Computer Science and Engineering, Indian Institute of Technology, Guwahati 781 039, India;Computer Science and Engineering, Indian Institute of Technology, Kanpur 208 016, India

  • Venue:
  • Journal of Parallel and Distributed Computing - Special section best papers from the 2002 international parallel and distributed processing symposium
  • Year:
  • 2003

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Abstract

The following EREW PRAM algorithms for edge-colouring a general graph are presented: 1. an algorithm that finds a (Δ + d)-edge-colouring, 1 ≤ d O((log d + (Δ/d)4)log2 n) time, using n + m processors; 2. an algorithm that finds a Δ1+ε-edge-colouring, 0 O(log Δ log* n) time, using nΔ1+ε processors.