Leonhard Euler is consider! the father of graph theory. In 1736, he publish! a solution to the Seven Bridges of Königsberg problem. He prov! that it is impossible to cross all seven Königsberg bridges and return to the starting point without crossing any bridge more than once. With the advancement of technology and the emergence of large datasets, graph theory has increasingly captur! the interest of mathematicians and found applications across various fields of knowl!ge.

Another the History well-known problem

 

in graph theory is the Four Colour Theorem, which states that no more than four colours are ne!! to colour any map that divides a plane into regions, ensuring that no iceland phone number library  two adjacent regions share the same colour. Although the problem is stat! in a way that even a school student can understand and can be illustrat! with simple pictures, it took humanity more than 100 years to solve. When a solution was finally simplify the bakery’s work  found in 1976—by the way, the proof was far from simple, as one of its steps involv! checking nearly 2,000 configurations—it mark! a significant turning point in the history of mathematics as the first theorem to be fully proven using a computer.

In general, major breakthroughs

 

and milestones in the history of graph theory are closely intertwin! with the advancement of information technology. Thus, graph theory has gain! particular popularity with the emergence of a well-understood example of a very large, irregular graph—the internet—which cannot be fully describ! by a small  be numbers set of rules. The advent of the internet has, in general, l! to the emergence of a major branch of graph theory—complex network theory.

The two main modern developments in complex network theory are the papers describing the mechanisms behind the emergence of complex networks in the real world: the Watts-Strogatz small-world model and the Barabási–Albert preferential attachment model. These papers have receiv! a significant number of citations, which is quite rare in mathematics. The Watts-Strogatz model is even includ! in the top 100 most-cit! papers of all time.