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< Δ, in O(( log d+(Δ/d) 4) log 2 n) time, using n+ m processors; 2. an algorithm that finds a Δ 1+ ε -edge-colouring, 0< ε<1, in O( log Δ log ∗ n) time, using nΔ 1+ ε processors.
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