Simplicial complexes connect topology to graph theory, and, like hypergraphs, they raise compelling mathematical questions that will drive future investigations.

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 ...

Recent developments in the quantitative analysis of complex networks, based largely on graph theory, have been rapidly translated to studies of brain network organization. The brain's structural ...

Play this simple math game with your friends to gain insights into fundamental principles of graph theory.

We believe that graph theory has considerable promise for applications concerned with connectivity and ecological flows in general. Because the theory is already well developed in other disciplines, ...

A solution between the lines Simply put, the puzzle is about how to connect a number of points in a graph without allowing the lines connecting them to cross.

Solving sudoku puzzles may not require mathematics, but mathematicians have found plenty to say about the popular brainteasers.