Frugal Colouring of Graphs

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Frugal Colouring of Graphs
A k-frugal colouring of a graph G is a proper colouring of the vertices of G such that no colour appears more than k times in the neighbourhood of a vertex. This type of colouring was introduced by Hind, Molloy and Reed in 1997. In this paper, we study the frugal chromatic number of planar graphs, planar graphs with large girth, and outerplanar graphs, and relate this parameter with several well-studied colourings, such as colouring of the square, cyclic colouring, and L(p, q)-labelling. We also study frugal edge-colourings of multigraphs.
Omid Amini, Louis Esperet, Jan van den Heuvel
Added 13 Dec 2010
Updated 13 Dec 2010
Type Journal
Year 2007
Where CORR
Authors Omid Amini, Louis Esperet, Jan van den Heuvel
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