Geometric Characterization of the H-Property for Step-Graphons

• 成果类型: Article
• 署名作者: Belabbas, Mohamed-Ali; Chen, Xudong
• 署名单位: University of Illinois System; University of Illinois Urbana-Champaign; University of Illinois System; University of Illinois Urbana-Champaign; Washington University (WUSTL)
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3335252
• 发表日期: 2024
• 页码: 3849-3864
• 关键词: Skeleton; Network topology; TOPOLOGY; computational modeling; Network systems; Analytical models; Social networking (online); Agents and autonomous systems; graphons and graph theory; network analysis and control; Stochastic systems

摘要

In a recent article (Belabbas et al., 2022), we have exhibited a set of conditions that are necessary for the $H$-property to hold for the class of step-graphons. In this article, we prove that these conditions are essentially sufficient.