Distance-2 Edge Coloring is NP-Complete

Written with Jeff Erickson and Shripad Thite.
Unpublished note, 2005.
arXiv:cs.DM/0509100

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Abstract:

We prove that it is NP-complete to determine whether there exists a distance-2 edge coloring (strong edge coloring) with 5 colors of a bipartite 2-inductive graph with girth 6 and maximum degree 3.