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 ...

For any integer 𝑘 ≥ 2, a graph 𝐺 is called 𝑘-leaf-connected if |V(G)|≥k+1 and given any subset 𝑆 ⊆ 𝑉(𝐺) with |S|=k,G always has a spanning tree 𝑇 such that 𝑆 is precisely the set of leaves of ...