The inertia of unicyclic graphs and the implications for closed-shells

DOI10.1016/j.laa.2008.04.013zbMath1200.05129OpenAlexW1979958117MaRDI QIDQ932155

Sean Daugherty

Publication date: 10 July 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.04.013

zbMATH Keywords

eigenvalue problemsmatchingsgraph algorithmsunicyclic graphsclosed shellmolecular stabilitymolecular structures

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Graph algorithms (graph-theoretic aspects) (05C85) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

Related Items (9)

Characterization of graphs whose signature equals the number of odd cycles ⋮ The extremal problems on the inertia of weighted bicyclic graphs ⋮ Inertia of complex unit gain graphs ⋮ Bicyclic graphs with small positive index of inertia ⋮ On the inertia index of a mixed graph in terms of the matching number ⋮ Characterizations of graphs with given inertia index achieving the maximum diameter ⋮ The inertia of weighted unicyclic graphs ⋮ Bounds for the positive and negative inertia index of a graph ⋮ The signature ofk-cyclic graphs of ∞-type

Cites Work

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• On unicyclic conjugated molecules with minimal energies
• The spread of unicyclic graphs with given size of maximum matchings
• On the nullity and the matching number of unicyclic graphs
• Spectra of unicyclic graphs
• On the spectral radius of unicyclic graphs with perfect matchings
• On the null-spaces of acyclic and unicyclic singular graphs
• Unicyclic Hückel molecular graphs with minimal energy
• On the Problem of Runs

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