Repeat space theory applied to carbon nanotubes and related molecular networks. II.

DOI10.1007/S10910-006-9218-2zbMath1197.92054OpenAlexW4241505085MaRDI QIDQ937611

Shigeru Arimoto

Publication date: 15 August 2008

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

Full work available at URL: https://doi.org/10.1007/s10910-006-9218-2

zbMATH Keywords

resolution of singularities*-algebracarbon nanotubesFukui conjectureasymptotic linearity theorem (ALT)repeat space theory (RST)additivity and network problemsalgebraic and analytic curvesvirtual nanotube tip RST atomic force microscopy

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Applications of functional analysis in quantum physics (46N50) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Special matrices (15B99)

Related Items (8)

Proof of the asymptotic linearity theorem extension conjecture (ALTEC) ⋮ Normed repeat space and its super spaces: Fundamental notions for the second generation Fukui project ⋮ Proof of the Fukui conjecture via resolution of singularities and related methods. III ⋮ Proof of the Fukui conjecture via resolution of singularities and related methods. IV ⋮ Repeat space theory applied to carbon nanotubes and related molecular networks. III ⋮ Proof of the Fukui conjecture via resolution of singularities and related methods. V ⋮ Fundamental notions for the second generation Fukui project and a prototypal problem of the normed repeat space and its super spaces ⋮ Multidimensional magic mountains and matrix art for the generalized repeat space theory

Cites Work

• Topological approach to the chemistry of conjugated molecules
• Proof of the Fukui conjecture via resolution of singularities and related methods. I
• Spectral Properties of Banded Toeplitz Matrices
• Unnamed Item

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