Graph colouring remains a central topic in graph theory, providing the mathematical framework for assigning colours to the elements of a graph under specific constraints. In particular, the colouring ...

Abstract: Coloring a graph is a known and a classical problem in graph theory. It is also a known NP problem. In a graph G, the solution of coloring a graph is about coloring all the vertices of the ...

The so-called differential equation method in probabilistic combinatorics presented by Patrick Bennett, Ph.D., Department of Mathematics, Western Michigan University Abstract: Differential equations ...

Abstract: Quantum computing based Grover's algorithm performs unstructured search problems in unsorted data to structured data in validating bit string through graph coloring. The quantum Grover's ...

This course is an introduction to combinatorics with a focus that includes graph theory. Specific topics covered are enumerative combinatorics up to inclusion-exclusion, the theory of simple graphs, ...