Comments on "On multi-consensus and almost equitable graph partitions"

被引:0
|
作者
Ma, Jeong-Min [1 ]
Park, Nam-Jin [1 ]
Lee, Hyung-Gon [1 ]
Ahn, Hyo-Sung [1 ]
机构
[1] Gwangju Inst Sci & Technol, Sch Mech Engn, Gwangju 61005, South Korea
基金
新加坡国家研究基金会;
关键词
Multi-consensus; Multi-agent systems; Almost equitable partitions; Algebraic graph theory;
D O I
10.1016/j.automatica.2024.111771
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The main theorem of the quoted paper (Theorem 1) claims that the coarsest almost equitable partition (AEP) and clusters of multi-consensus are necessary and sufficient condition for each other. Unfortunately, the sufficiency is not. This correspondence provides a counterexample to that theorem and points out a logical flaw in its proof. (c) 2024 Elsevier Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
引用
收藏
页数:2
相关论文
共 50 条
  • [31] Assignment-Driven Multi-consensus in Second-order Multi-agent Systems via Impulsive Control with Heterogeneous delays
    Wei, Yao-Wen
    Yi, Jing-Wen
    Wang, Yan-Wu
    Xiao, Jiang-Wen
    2016 12TH IEEE INTERNATIONAL CONFERENCE ON CONTROL AND AUTOMATION (ICCA), 2016, : 553 - 558
  • [32] The absolute values of the perfect matching derangement graph's eigenvalues almost follow the lexicographic order of partitions
    Zhang, Meiqiao
    Dong, Fengming
    DISCRETE MATHEMATICS, 2024, 347 (11)
  • [33] Consensus Graph Learning for Multi-View Clustering
    Li, Zhenglai
    Tang, Chang
    Liu, Xinwang
    Zheng, Xiao
    Zhang, Wei
    Zhu, En
    IEEE TRANSACTIONS ON MULTIMEDIA, 2022, 24 : 2461 - 2472
  • [34] Almost Sure Consensus of Multi-Agent Systems: An Intermittent Noise
    Wu, Yongbao
    Wang, Yue
    Gunasekaran, Nallappan
    Vadivel, R.
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2022, 69 (06) : 2897 - 2901
  • [35] Comments on "Consensus and Cooperation in Networked Multi-Agent Systems"
    Chebotarev, Pavel
    PROCEEDINGS OF THE IEEE, 2010, 98 (07) : 1353 - 1354
  • [36] Towards Adaptive Consensus Graph: Multi-View Clustering via Graph Collaboration
    Wang, Huibing
    Jiang, Guangqi
    Peng, Jinjia
    Deng, Ruoxi
    Fu, Xianping
    IEEE TRANSACTIONS ON MULTIMEDIA, 2023, 25 : 6629 - 6641
  • [37] Contrastive Consensus Graph Learning for Multi-View Clustering
    Shiping Wang
    Xincan Lin
    Zihan Fang
    Shide Du
    Guobao Xiao
    IEEE/CAA Journal of Automatica Sinica, 2022, 9 (11) : 2027 - 2030
  • [38] Robustness measurement for consensus systems with multi-graph communication
    Liu J.-G.
    Huang Z.-W.
    Kongzhi yu Juece/Control and Decision, 2016, 31 (08): : 1446 - 1452
  • [39] Consensus Graph Learning for Incomplete Multi-view Clustering
    Zhou, Wei
    Wang, Hao
    Yang, Yan
    ADVANCES IN KNOWLEDGE DISCOVERY AND DATA MINING, PAKDD 2019, PT I, 2019, 11439 : 529 - 540
  • [40] Graph Filter Design for Multi-Agent System Consensus
    Yi, Jing-Wen
    Chai, Li
    2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2017,