Cubic polyhedral Ramanujan graphs with face size no larger than six

DOI10.1007/s10910-010-9782-3zbMath1221.92086OpenAlexW2086163897MaRDI QIDQ535313

Patrick W. Fowler, Mathieu Dutour Sikirić

Publication date: 11 May 2011

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

Full work available at URL: https://doi.org/10.1007/s10910-010-9782-3

zbMATH Keywords

polyhedraeigenvalues

Mathematics Subject Classification ID

Applications of graph theory (05C90) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

Uses Software

• GRAFFITI

Cites Work

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• Spectral partitioning works: planar graphs and finite element meshes
• Spectra of toroidal graphs
• PentHex puzzles. A reliable and efficient top-down approach to fullerene-structure enumeration
• The construction of cubic and quartic planar maps with prescribed face degrees
• Monodromy of hypergeometric functions and non-lattice integral monodromy
• Expander graphs and their applications
• A Separator Theorem for Planar Graphs
• Planar Separators

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