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

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 ...

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 ...

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

Abstract. The power graph 𝑃(𝐺) of a group 𝐺 is the graph whose vertex set is the group elements and two elements are adjacent if one is a power of the other. In this paper, we consider some graph ...

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.

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. Almost always.