The colouring number of a graph G, defined as col(G) = 1 + maxH⊆G ∞(H), is an upper bound for its chromatic number. In this note, we prove that it is NP-complete to determine whether an arbitrary graph G has chromatic number strictly less than its colouring number. Copyright © 2011 DMFA Slovenije.
CITATION STYLE
Zhu, X. (2011). Graphs with chromatic numbers strictly less than their colouring numbers. Ars Mathematica Contemporanea, 4(1), 25–27. https://doi.org/10.26493/1855-3974.176.704
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