Full Text:   <412>

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CLC number: N941

On-line Access: 2023-06-21

Received: 2022-09-18

Revision Accepted: 2023-09-21

Crosschecked: 2023-03-31

Cited: 0

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Citations:  Bibtex RefMan EndNote GB/T7714


Weigang SUN


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Frontiers of Information Technology & Electronic Engineering  2023 Vol.24 No.9 P.1349-1356


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

Author(s):  Daquan LI, Weigang SUN, Hongxiang HU

Affiliation(s):  School of Sciences, Hangzhou Dianzi University, Hangzhou 310018, China

Corresponding email(s):   wgsun@hdu.edu.cn

Key Words:  Consensus, Coherence, Distance, Average path length

Daquan LI, Weigang SUN, Hongxiang HU. Impact of distance between two hubs on the network coherence of tree networks[J]. Frontiers of Information Technology & Electronic Engineering, 2023, 24(9): 1349-1356.

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T1 - Impact of distance between two hubs on the network coherence of tree networks
A1 - Daquan LI
A1 - Weigang SUN
A1 - Hongxiang HU
J0 - Frontiers of Information Technology & Electronic Engineering
VL - 24
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SP - 1349
EP - 1356
%@ 2095-9184
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/FITEE.2200400

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




Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


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