Mathematical research is generally thought to be a solitary pursuit. And some mathematicians do indeed spend their professional lives in lone contemplation of a single problem. The dramatic ...

Graph crossing numbers quantify the minimum number of edge intersections in any planar drawing of a graph, an essential parameter in both theoretical and applied graph theory. The study of crossing ...

The study of geodetic numbers in graph theory represents a compelling fusion of abstract mathematical ideas with practical applications across network analysis, computational optimisation, and ...