Abstract: This letter studies the stability of discrete-time polynomial dynamical systems on hypergraphs by utilizing the Perron-Frobenius theorem for nonnegative tensors with respect to the tensors’ ...

The code for Ligra, Ligra+, and Hygra is located in the ligra/ directory. The code for the applications is in the apps/ directory, which is where compilation should be performed. Example inputs are ...

Scientists usually use a hypergraph model to predict dynamic behaviors. But the opposite problem is interesting, too. What if researchers can observe the dynamics but don't have access to a reliable ...

In a network, pairs of individual elements, or nodes, connect to each other; those connections can represent a sprawling system with myriad individual links. A hypergraph goes deeper: It gives ...

The original version of this story appeared in Quanta Magazine. Much of mathematics is driven by intuition, by a deep-rooted sense of what should be true. But sometimes instinct can lead a ...

Abstract: Numerous complex systems, such as those arisen in ecological networks, genomic contact networks, and social networks, exhibit higher-order and time-varying characteristics, which can be ...

Objective: To address the high-order correlation modeling and fusion challenges between functional and structural brain networks. Method: This paper proposes a hypergraph transformer method for ...

Frequently Asked Question (FAQ) pages (or informational hubs) enable your business to respond, react, and anticipate the needs of your audience more quickly and appropriately than other types of ...