Article ID Journal Published Year Pages File Type
4652904 Electronic Notes in Discrete Mathematics 2007 5 Pages PDF
Abstract

The problem to find a 4-edge-coloring of a 3-regular graph is solvable in polynomial time but an analogous problem for 3-edge-coloring is NP-hard. We study complexity of approximation algorithms for invariants measuring how far is a 3-regular graph from having a 3-edge-coloring. We prove that it is an NP-hard problem to approximate such invariants by a power function with exponent smaller than 1.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics