Engineers could use this breakthrough in graph theory to design wildly efficient quantum computer chips.

In contrast to previous analyses of the atom of kinship as a signed graph in which the ideal combinations of relations are predicted from the theory of structural balance, this article suggests a ...

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.

We extend the finite type condition to graph-directed iterated function systems with overlaps. Under this condition, we describe algorithms to compute the box dimension and Hausdorff dimension of the ...

Theory of pattern formation on a directed network We now turn to considering the case of a directed graph.

Graph theory isn’t enough. The mathematical language for talking about connections, which usually depends on networks — vertices (dots) and edges (lines connecting them) — has been an invaluable way ...

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