Toroidal fullerenes with the Cayley graph structures

DOI10.1016/j.disc.2011.06.018zbMath1238.05068arXiv0902.1706OpenAlexW1973659659MaRDI QIDQ409345

Ming-Hsuan Kang

Publication date: 13 April 2012

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.1706

zbMATH Keywords

Cayley graphfullerenetoroidal graphHOMO-LUMO gap

Mathematics Subject Classification ID

Applications of graph theory (05C90) Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Structural characterization of families of graphs (05C75) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

Related Items (3)

Eigenvalues of Cayley graphs ⋮ Some algebraic polynomials and topological indices of generalized prism and toroidal polyhex networks ⋮ Total edge irregularity strength of toroidal fullerene

Cites Work

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• Cayley sum graphs and eigenvalues of \((3,6)\)-fullerenes
• Spectra of toroidal graphs
• Uniqueness and faithfulness of embedding of toroidal graphs
• Acyclic molecules with greatest HOMO-LUMO separation
• Construction and enumeration of regular maps on the torus
• Tilings of the Torus and the Klein Bottle and Vertex-Transitive Graphs on a Fixed Surface

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