How Big Data Carried Graph Theory Into New Dimensions Researchers are turning to the mathematics of higher-order interactions to better model the complex connections within their data.

This paper presents a non-technical exposition of graph theory (more particularly, the theory of directed graphs or digraphs), followed by a survey of the literature on applications of graph theory in ...

The main challenge here lies in devising a mathematically acceptable proof of this impossibility, which is where the foundations for what we today know as graph theory.

Although graph theory emphasizes topological connectivity patterns, the topological and physical distances between elements in brain networks are often intricately related 29.

In theory, it cannot be ruled out that the algorithms might run for longer than the age of the universe. But in practice, many algorithms seem to work just fine.

Graph Theory, the bedrock of network science, has found extensive application in dissecting the attributes of complex networks, including those of the brain. It lays out a framework for examining ...