Generalisation of the rainbow neighbourhood number and 𝑘-jump colouring of a graph
Johan Kok, Sudev Naduvath, Eunice Gogo Mphako-Banda · Az Eszterházy Károly Tanárképző Főiskola tudományos közleményei. Tanulmányok a matematikai tudományok köréből/Az Eszterházy Károly Főiskola tudományos közleményei. Tanulmányok a matematikai tudományok köréből/Annales mathematicae et informaticae · 2020
In this paper, the notions of rainbow neighbourhood and rainbow neighbourhood number of a graph are generalised and further to these generalisations, the notion of a proper -jump colouring of a graph is also introduced.The generalisations follow from the understanding that a closed -contains at least one of each colour of the chromatic colour set, we say that yields a -rainbow neighbourhood.