Graphs with magnetic Schrödinger operators of low corank

DOI10.1006/jctb.2001.2087zbMath1024.05060OpenAlexW2146200453MaRDI QIDQ1850594

Hein van der Holst

Publication date: 10 December 2002

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jctb.2001.2087

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Graph minors (05C83) Connectivity (05C40)

Related Items (8)

The inertia set of a signed graph ⋮ Global rigidity of triangulations with braces ⋮ Signed graphs whose signed Colin de Verdière parameter is two ⋮ Computing inertia sets using atoms ⋮ Some connectivity properties for excluded minors of the graph invariant \(\nu(G)\) ⋮ Positive semidefinite matrix completion, universal rigidity and the strong Arnold property ⋮ Graph connectivity and universal rigidity of bar frameworks ⋮ Sharp lower and upper bounds for the Gaussian rank of a graph

Cites Work

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• Graph minors. XX: Wagner's conjecture
• Graph minors. III. Planar tree-width
• Inertia characteristics of self-adjoint matrix polynomials
• Multiplicities of eigenvalues and tree-width of graphs
• Sur un nouvel invariant des graphes et un critère de planarité. (On a new graph invariant and a planarity criterion)
• Orthogonal representations and connectivity of graphs
• Graph minors. XIII: The disjoint paths problem
• On the invariance of Colin de Verdière's graph parameter under clique sums

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