Defective colouring of hypergraphs

We prove that the vertices of every (r + 1)-uniform hypergraph with maximum degree ∆ may be coloured with c( ∆ d+1 ) 1/r colours such that each vertex is in at most d monochromatic edges. This result, which is best possible up to the value of the constant c, generalises the classical result of Erdos...

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Bibliografske podrobnosti
Main Authors: Girão, A, Illingworth, F, Scott, AD, Wood, DR
Format: Journal article
Jezik:English
Izdano: Wiley 2023