The study of graph colouring has long been a central topic in discrete mathematics, with a prominent focus on optimising the assignment of labels or colours to vertices such that adjacent vertices are ...

This course is available on the MSc in Applicable Mathematics. This course is available as an outside option to students on other programmes where regulations permit. Students should be taking the ...

Consider an urn model where at each step one of q colors is sampled according to some probability distribution and a ball of that color is placed in an urn. The distribution of assigning balls to urns ...

Taiwanese Journal of Mathematics, Vol. 10, No. 4 (June 2006), pp. 1015-1023 (9 pages) Let G be an outerplanar graph with maximum degree Δ(G) ≥ 3. We prove that the chromatic number χ(G²) of the square ...

Presents propositional logic, combinatorics, methods of proof, mathematical systems, algebra of sets, matrix algebra, relations and functions, recursion and generating functions, applications to ...