On the number of Kekulé structures in capped zigzag nanotubes

DOI10.1007/s10910-005-5410-zzbMath1217.05032OpenAlexW2022950638MaRDI QIDQ551970

Jian Guo Qian, Fu Ji Zhang

Publication date: 21 July 2011

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

Full work available at URL: https://doi.org/10.1007/s10910-005-5410-z

zbMATH Keywords

Kekulé structurecapped zigzag nanotube

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Statistical mechanics of nanostructures and nanoparticles (82D80)

Related Items (9)

Partition of \(\pi \)-electrons among the faces of polyhedral carbon clusters ⋮ Packing stars in fullerenes ⋮ Finding more perfect matchings in leapfrog fullerenes ⋮ Cyclic 7-edge-cuts in fullerene graphs ⋮ Leapfrog fullerenes have many perfect matchings ⋮ Cyclic edge-cuts in fullerene graphs ⋮ Kekulé structures of honeycomb lattice on Klein bottle and Möbius strip ⋮ On some structural properties of generalized fullerene graphs with 13 pentagonal faces ⋮ Fullerene graphs with exponentially many perfect matchings

Cites Work

• Matching polynomials of two classes of graphs
• Resonance in elemental benzenoids
• The statistics of dimers on a lattice

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