Algorithmic graph theory and optimisation represents a critical nexus between discrete mathematics and computer science, underpinning the development of efficient methodologies for analysing complex ...

Edge-Colored Graph Theory is a vibrant area within combinatorics that extends the classical study of graphs by assigning colours to edges. This paradigm not only uncovers subtle structural properties ...

Let G be a directed graph such that every edge e of G is associated with a positive integer, called the index of e. Then G is called a network graph if, at every vertex v of G, the sum of the indices ...

Jacob Holm was flipping through proofs from an October 2019 research paper he and colleague Eva Rotenberg—an associate professor in the department of applied mathematics and computer science at the ...

Researchers thought that they were five years away from solving a math riddle from the 1980's. In reality, and without knowing, they had nearly cracked the problem and had just given away much of the ...

This is a preview. Log in through your library . Abstract This paper describes the application of a vertex coloring procedure to a real life examination scheduling problem. The accessories used in ...