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 ...

That’s a huge number, but not nearly as huge as the number of Latin squares. But Herzberg and Murty posed a broader question. The standard 9-by-9 sudoku has nine 3-by-3 subgrids, but a sudoku ...

On May 19, Ashwin Sah posted the best result ever on one of the most important questions in combinatorics.It was a moment that might have called for a celebratory drink, only Sah wasn’t old enough to ...

“A graph is a good abstraction for a social network, but social networks are so much more. With higher-order systems, there are more ways to model.” Graph theory may show how individuals are connected ...

A graph in this case is any number of points, called nodes, connected by pairwise relations, called edges. In other words, an edge is a curve that connects two nodes.

Graph theory is both an area of mathematics and an important tool in computer science. In this context, a graph can be illustrated by a diagram consisting of a number of points (nodes, vertices ...

The field of graph theory has been around since 1736, when Leonhard Euler published an article on the subject of the Seven Bridges of Königsberg (in Prussia, today’s Kaliningrad in Russia).