Note on the Coulson integral formula

DOI10.1007/s10910-005-9032-2zbMath1101.92062OpenAlexW1979117786MaRDI QIDQ2503729

Ivan Gutman, Miodrag S. Mateljević

Publication date: 22 September 2006

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

Full work available at URL: https://doi.org/10.1007/s10910-005-9032-2

zbMATH Keywords

Coulson integral formulatotal \(\pi\)-electron energyHMO theorymolecular orbital theory

Mathematics Subject Classification ID

Molecular physics (81V55) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Residues for several complex variables (32A27)

Related Items (11)

Some bounds on the distance-sum-connectivity matrix ⋮ On tetracyclic graphs having minimum energies ⋮ Energy of a polynomial and the Coulson integral formula ⋮ Complete solution to a conjecture on the maximal energy of unicyclic graphs ⋮ Coulson-type integral formulas for the sum of powers of absolute values of roots of polynomials ⋮ Unicyclic graphs possessing Kekulé structures with minimal energy ⋮ The energy change of weighted graphs ⋮ Theory of the PCP effect and related phenomena ⋮ The matching energy of a graph ⋮ Coulson integral formula for the vertex energy of a graph ⋮ Cycle energy and its size dependence

Cites Work

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• Topological approach to the chemistry of conjugated molecules
• On bicyclic graphs with minimal energies
• Extension of Stokes series for flow in a circular boundary
• The electronic structure of conjugated systems I. General theory
• The electronic structure of conjugated systems II. Unsaturated hydrocarbons and their hetero-derivatives
• The electronic structure of conjugated systems. Parts III and IV

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