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).

Sah’s proof, in contrast, improved the upper bound for two-color Ramsey numbers. He achieved it by optimizing a method that originated with Erdős and Szekeres, and which a small number of ...

Consider trying to forge a network model of parenting. Clearly, each parent has a connection to a child, but the parenting relationship isn’t just the sum of the two links, as graph theory might model ...

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.

In a study on Kneser graphs, researchers have established new upper bounds and provided exact determinations of the geodetic and geodetic hull numbers for graphs of diameter two, shedding light on ...

Graph theory: Solution to '3 utilities problem' could lead to better computers Date: August 17, 2020 Source: University of Copenhagen Summary: Researchers thought that they were five years away ...

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 ...