A linear bound for the Colin de Verdière parameter \(\mu\) for graphs embedded on surfaces

DOI10.1137/23M1623628zbMATH Open1546.05088MaRDI QIDQ6594388

R. A. Pendavingh, Camille Lanuel, Francis Lazarus

Publication date: 28 August 2024

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

spectral graph theorygraph parametergraph on surfaces

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Structural characterization of families of graphs (05C75)

Cites Work

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• Sur la multiplicité de la premiere valeur propre des surfaces riemanniennes
• Sur une hypothèse de transversalité d'Arnold. (About a transversality hypothesis of Arnold)
• Sur un nouvel invariant des graphes et un critère de planarité. (On a new graph invariant and a planarity criterion)
• Multiplicity of the second Schrödinger eigenvalue on closed surfaces
• A short proof of the planarity characterization of Colin de Verdière
• Construction de laplaciens dont une partie finie du spectre est donnée
• MULTIPLE EIGENVALUES OF THE LAPLACE OPERATOR

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