An Efficient Algorithm for Edge Coloring Planar Graphs with Delta Colors

Abstract We present an efficient algorithm for edge coloring a planar graph G . Let n be the number of vertices and Δ be the maximum degree of G . If Δ ≥33, our algorithm constructs an edge coloring of G using Δ colors. The parallel implementation of the algorithm takes O (log 2 n ) time with O( n ) processors. The sequential implementation takes O( n ) time.