论文标题
高阶网络上的动态:评论
Dynamics on higher-order networks: A review
论文作者
论文摘要
网络科学已演变成一个不可或缺的平台,用于研究复杂的系统。但是,最近的研究已经确定了经典网络的限制,其中链接连接节点对,以全面描述群体的交互。因此,链接可以连接两个以上节点的高阶网络已成为网络科学领域的新边界。由于小组互动在社会,生物学和技术系统中很常见,因此高阶网络最近导致了许多研究领域的重要新发现。我们在这里回顾了这些作品,尤其是在高阶网络上出现的动态的新颖方面。我们涵盖了迄今已研究的各种动力学过程,包括不同的同步现象,传染过程,合作的演变和共识形成。我们还概述了未来研究的开放挑战和有希望的方向。
Network science has evolved into an indispensable platform for studying complex systems. But recent research has identified limits of classical networks, where links connect pairs of nodes, to comprehensively describe group interactions. Higher-order networks, where a link can connect more than two nodes, have therefore emerged as a new frontier in network science. Since group interactions are common in social, biological, and technological systems, higher-order networks have recently led to important new discoveries across many fields of research. We here review these works, focusing in particular on the novel aspects of the dynamics that emerges on higher-order networks. We cover a variety of dynamical processes that have thus far been studied, including different synchronization phenomena, contagion processes, the evolution of cooperation, and consensus formation. We also outline open challenges and promising directions for future research.