ABSTRACT: A proper edge colouring f of a graph G is called acyclic if there are no bichromatic cycles in the graph. The acyclic edge chromatic number or acyclic chromatic index, denoted by , is the ...

ABSTRACT: A coloring of G is d-distance if any two vertices at distance at most d from each other get different colors. The minimum number of colors in d-distance colorings of G is its d-distance ...

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 ...

Replace all disjuncitons with the conjunction of implications By the transitivity of implications, the strongly connected components have to be of the same sign: T→T→F ≡ F ⇒ all elements in the chain ...

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 ...

Discrete Mathematics is a subject that has gained prominence in recent times. Unlike regular Maths, where we deal with real numbers that vary continuously, Discrete Mathematics deals with logic that ...

Abstract: Graph operations and manipulation techniques are commonly used to solve many real-world issues, from effective networking to financial analysis. The Discrete mathematics Instruction Set ...