Impact of distance between two hubs on the network coherence of tree networks

作     者：Daquan LI Weigang SUN Hongxiang HU Daquan LI;Weigang SUN;Hongxiang HU

作者机构：School of SciencesHangzhou Dianzi UniversityHangzhou 310018China 

出 版 物：《信息与电子工程前沿:英文版》 (Frontiers of Information Technology & Electronic Engineering)

年 卷 期：2023年第24卷第9期

页      面：1349-1356页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 0701[理学-数学] 071101[理学-系统理论] 0702[理学-物理学] 

基　　金：Project supported by the National Natural Science Foundation of China(Nos.71932005 and 62376079) the Zhejiang Provincial Natural Science Foundation of China(No.LR22F030004) the Fundamental Research Funds for the Provincial Universities of Zhejiang,China(No.GK219909299001-004) 

主　　题：Consensus Coherence Distance Average path length 

摘      要：We study the impact of the distance between two hubs on network coherence defined by Laplacian *** coherence is a measure of the extent of consensus in a linear system with additive *** obtain an exact determination of coherence based on the distance,we choose a family of tree networks with two hubs controlled by two *** the tree’s regular structure,we obtain analytical expressions of the coherences with regard to network parameters and the network *** then demonstrate that a shorter distance and a larger difference in the degrees of the two hubs lead to a higher *** the same network size and distance,the best coherence occurs in the tree with the largest difference in the hub’s ***,we establish a correlation between network coherence and average path length and find that they behave linearly.