The inertia and energy gap of a vertex-decorated graph with identically weighted `internal' edges and beyond

DOI10.1007/s10910-021-01317-4zbMath1498.92341OpenAlexW4205647000MaRDI QIDQ2118791

Vladimir R. Rosenfeld

Publication date: 23 March 2022

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-021-01317-4

zbMATH Keywords

eigenvalueadjacency matrixenergy gapgraph eigenvalueweighted edgeinertia (set or indices)internal and external edgesmathematical design of moleculesmedial eigenvaluesmolecular quantum chemical graphvertex-decorated graph

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Graph operations (line graphs, products, etc.) (05C76) Chemical graph theory (05C92)

Cites Work

• Unnamed Item
• The truncation of a cage graph
• Matching theory
• Close-to-zero eigenvalues of the rooted product of graphs
• The spectrum of the vertex quadrangulation of a 4-regular toroidal graph and beyond
• Eigenvalues of saturated hydrocarbons
• Matrix Analysis

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