Gluing of graph Laplacians and their spectra

DOI10.1080/03081087.2018.1516727zbMath1434.05090arXiv1805.01827OpenAlexW2963260258WikidataQ114641399 ScholiaQ114641399MaRDI QIDQ5219267

Chengzheng Yu, Michael Toriyama, Iván A. Contreras

Publication date: 9 March 2020

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.01827

zbMATH Keywords

graph LaplacianFiedler valuegraph quantum mechanics

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Applications of graph theory to circuits and networks (94C15) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (4)

Quantum routing in planar graph using perfect state transfer ⋮ Gluing of graphs and their Jacobians ⋮ Laplace and Dirac operators on graphs ⋮ The graph Laplacian and Morse inequalities

Cites Work

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• Laplacian versus adjacency matrix in quantum walk search
• Old and new results on algebraic connectivity of graphs
• Supersymmetry and Morse theory
• On the Fiedler value of large planar graphs
• Discrete path integral approach to the Selberg trace formula for regular graphs
• The six classes of trees with the largest algebraic connectivity
• Isoperimetric numbers of graphs
• Expander graphs and their applications
• Toeplitz and Circulant Matrices: A Review
• Super-Walk Formulae for Even and Odd Laplacians in Finite Graphs

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