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 ...

Bhaswar B. Bhattacharya, COLLISION TIMES IN MULTICOLOR URN MODELS AND SEQUENTIAL GRAPH COLORING WITH APPLICATIONS TO DISCRETE LOGARITHMS, The Annals of Applied Probability, Vol. 26, No. 6 (December ...

Then we present a unifying framework for the graph models of the variant matrix estimation problems. The framework is based upon the viewpoint that a partition of a matrix into structurally orthogonal ...

Complementary to these studies, recent investigations into injective edge-colouring have yielded significant improvements in the bounds relative to the maximum degree of a graph.