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Graph Coloring Using Eigenvalue Decomposition

Published in SIAM Journal on Algebraic and Discrete Methods • Dec 1, 1984
Authors:
Bengt Aspvall
,
John R. Gilbert

Abstract

Determining whether the vertices of a graph can be colored using k different colors so that no two adjacent vertices receive the same color is a well-known NP-complete problem. Graph coloring is also of practical interest (for example, in estimating sparse Jacobians and in scheduling), and many heur...

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