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...

সম্পূর্ণ বিবরণ

গ্রন্থ-পঞ্জীর বিবরন
প্রধান লেখক: Girão, A, Illingworth, F, Scott, AD, Wood, DR
বিন্যাস: Journal article
ভাষা:English
প্রকাশিত: Wiley 2023