Abstract: Recent research on epidemic processes has revealed the limitations of traditional networks, which capture only pairwise relationships, to characterize complex multiparty relationships and ...

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’ ...

An illustration representing a hypergraph in which people within a large organization are connected by multi-way relationships. A hypergraph can model the complexity of these connections. Picture a ...

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 ...

This paper proposes a hypergraph transformer method for modeling high-order correlations between functional and structural brain networks. By utilizing hypergraphs, we can effectively capture the high ...

In addition to being one of the most fun words to say—and hardest to spell—in English, “onomatopoeia” probably calls to mind a whole bunch of silly, fun words. Onomatopoeia is the process of creating ...

The best copywriting makes an emotional connection that leaves your audience craving more. How can you make this sort of memorable impression on your target audience? The slogans and jingles used by ...