Eigenfunctions of the edge-based Laplacian on a graph

DOI10.1016/j.laa.2013.01.007zbMath1282.05157arXiv1302.3433OpenAlexW2963930322WikidataQ60430901 ScholiaQ60430901MaRDI QIDQ389694

Furqan Aziz, Edwin R. Hancock, Richard C. Wilson

Publication date: 21 January 2014

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

Full work available at URL: https://arxiv.org/abs/1302.3433

zbMATH Keywords

graph calculusbacktrackless random walkedge-based Laplaciangraph eigenfunctions

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Random walks on graphs (05C81)

Cites Work

• Quantum walks, Ihara zeta functions and cospectrality in regular graphs
• Some geometric aspects of graphs and their eigenfunctions
• Wave equations for graphs and the edge-based Laplacian
• Coined quantum walks lift the cospectrality of graphs and trees
• Diffusion maps
• Convergence of spectra of mesoscopic systems collapsing onto a graph
• Variational problems on multiply connected thin strips. I: Basic estimates and convergence of the Laplacian spectrum
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