34 citations · 63 across the 15 of their papers we have counts for
Showing 2021Show all
3 papers · 1 filter
math.CO2021
Solution to a problem of Erdős on the chromatic index of hypergraphs with bounded codegree
Dong Yeap Kang, Tom Kelly, Daniela Kühn +2
In 1977, Erdős asked the following question: for any integers , if are complete graphs such that each has at most vertices and eve…
math.CO2021★ 3 cited
Graph and hypergraph colouring via nibble methods: A survey
Dong Yeap Kang, Tom Kelly, Daniela Kühn +2
This paper provides a survey of methods, results, and open problems on graph and hypergraph colourings, with a particular emphasis on semi-random `nibble' methods. We also give a d…
math.CO2021★ 2 cited
A proof of the Erdős-Faber-Lovász conjecture
Dong Yeap Kang, Tom Kelly, Daniela Kühn +2
The Erdős-Faber-Lovász conjecture (posed in 1972) states that the chromatic index of any linear hypergraph on vertices is at most . In this paper, we prove this conjecture f…