Coherence in a family of tree networks with an application of Laplacian spectrum

DOI10.1063/1.4897568zbMath1361.34027OpenAlexW2017261411WikidataQ50986558 ScholiaQ50986558MaRDI QIDQ5347030

Jingyuan Zhang, Fangyue Chen, Qingyan Ding, Wei-Gang Sun

Publication date: 19 May 2017

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4897568

Mathematics Subject Classification ID

Boundary value problems on graphs and networks for ordinary differential equations (34B45)

Related Items (13)

Partial synchronization in community networks based on the intra- community connections ⋮ Network coherence and eigentime identity on a family of weighted fractal networks ⋮ The trapping problem of the weighted scale-free treelike networks for two kinds of biased walks ⋮ First-order network coherence in 5-rose graphs ⋮ On consensus of star-composed networks with an application of Laplacian spectrum ⋮ NETWORK COHERENCE ANALYSIS ON A FAMILY OF NESTED WEIGHTED n-POLYGON NETWORKS ⋮ FIRST-ORDER NETWORK COHERENCE AND EIGENTIME IDENTITY ON THE WEIGHTED CAYLEY NETWORKS ⋮ CONSENSUS PROBLEMS IN WEIGHTED HIERARCHICAL GRAPHS ⋮ THE HOSOYA INDEX OF GRAPHS FORMED BY A FRACTAL GRAPH ⋮ Network coherence in the web graphs ⋮ Enumeration of spanning trees in the sequence of Dürer graphs ⋮ Laplacian spectrum of a family of recursive trees and its applications in network coherence ⋮ Lag Synchronization Between Two Coupled Networks via Open-Plus-Closed-Loop and Adaptive Controls

Cites Work

• Consensus of linear multi-agent systems with reduced-order observer-based protocols
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• Spanning trees on the Sierpinski gasket
• The electrical resistance of a graph captures its commute and cover times
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• Consensus Problems in Networks of Agents With Switching Topology and Time-Delays
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• Coherence in Large-Scale Networks: Dimension-Dependent Limitations of Local Feedback

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