Edge colouring is a fundamental concept in graph theory whereby colours are assigned to the edges of a graph such that no two adjacent edges share the same colour. This process is central to numerous ...

In this paper, we introduce a new simple but powerful general technique for the study of edge- and vertex-reinforced processes with super-linear reinforcement, based on the use of order statistics for ...

Taiwanese Journal of Mathematics, Vol. 24, No. 4 (August 2020), pp. 785-815 (31 pages) In 2011, Caro et al. introduced the monochromatic connection of graphs. An edge-coloring of a connected graph G ...