A new quantum algorithm for analyzing directed graphs, called path homology, offers advantages over classical methods.

Graphs are everywhere. In discrete mathematics, they are structures that show the connections between points, much like a public transportation network. Mathematicians have long sought to develop ...

Graph colouring, the assignment of colours to the vertices of a graph so that no two adjacent vertices share the same colour, represents a canonical NP-hard combinatorial optimisation problem with ...

Graph-based algorithms form the backbone of contemporary social network analysis by modelling individuals or entities as vertices and their relationships as edges in a graph. This abstraction enables ...

A professor has helped create a powerful new algorithm that uncovers hidden patterns in complex networks, with potential uses in fraud detection, biology and knowledge discovery. University of ...

A new light-cone VQA improves results on the MaxCut problem, achieving a 0.7926 approximation ratio on 3-regular graphs and ...