scholarly journals Quantum graph spectra of a graphyne structure

2013 ◽  
Vol 2 ◽  
pp. 107-123 ◽  
Author(s):  
Ngoc T. Do ◽  
Peter Kuchment
Keyword(s):  
Quantum Graph ◽  
Graph Spectra

scholarly journals Statistical properties of quantum graph spectra

JETP Letters ◽  
2006 ◽  
Vol 83 (12) ◽  
pp. 587-592 ◽  
Author(s):  
Yu. Dabaghian
Keyword(s):  
Statistical Properties ◽  
Quantum Graph ◽  
Graph Spectra

An Introduction to the Theory of Graph Spectra

2009 ◽  
Author(s):  
Dragos Cvetkovic ◽  
Peter Rowlinson ◽  
Slobodan Simic
Keyword(s):  
Graph Spectra

scholarly journals On Consensus Index of Triplex Star-Like Networks: A Graph Spectra Approach

Symmetry ◽  
2021 ◽  
Vol 13 (7) ◽  
pp. 1248
Author(s):  
Da Huang ◽  
Jian Zhu ◽  
Zhiyong Yu ◽  
Haijun Jiang
Keyword(s):  
Algebraic Connectivity ◽  
Multi Agent Systems ◽  
Graph Spectra ◽  
Asymptotic Behaviors ◽  
Agent Systems ◽  
First Order ◽  
Laplacian Spectra ◽  
Multi Agent ◽  
Consensus Index

In this article, the consensus-related performances of the triplex multi-agent systems with star-related structures, which can be measured by the algebraic connectivity and network coherence, have been studied by the characterization of Laplacian spectra. Some notions of graph operations are introduced to construct several triplex networks with star substructures. The methods of graph spectra are applied to derive the network coherence, and some asymptotic behaviors of the indices have been derived. It is found that the operations of adhering star topologies will make the first-order coherence increase a constant value under the triplex structures as parameters tend to infinity, and the second-order coherence have some equality relations as the node related parameters tend to infinity. Finally, the consensus related indices of the triplex systems with the same number of nodes but non-isomorphic graph structures have been compared and simulated to verify the results.

scholarly journals QUANTUM GRAPH OF SIERPINSKI GASKET TYPE IN ELECTRIC FIELD

2016 ◽  
Vol 31 (2) ◽  
pp. 263-275
Author(s):  
Irina V. Blinova ◽  
Igor Y. Popov
Keyword(s):  
Electric Field ◽  
Sierpinski Gasket ◽  
Quantum Graph ◽  
Sierpiński Gasket
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