Eigenvalues of the Laplacian on the Goldberg-Coxeter constructions for 3- and 4-valent graphs

zbMath1416.05177arXiv1807.10891MaRDI QIDQ2001989

Toshiaki Omori, Hisashi Naito, Tatsuya Tate

Publication date: 11 July 2019

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.10891

zbMATH Keywords

Goldberg-Coxeter construction

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

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Cites Work

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• Metric uniformization and spectral bounds for graphs
• A discrete surface theory
• Spectral partitioning works: planar graphs and finite element meshes
• Cayley sum graphs and eigenvalues of \((3,6)\)-fullerenes
• The expected eigenvalue distribution of a large regular graph
• Eulerian graphs and related topics. Part 1, Volume 1
• Grotzsh's Heawood coloring theorem
• Geometric coloring theory
• Variations on coloring, surfaces and higher-dimensional manifolds
• Combinatorial structure on triangulations. I: The structure of four colorings
• Combinatorial structures on triangulations. II: Local colorings
• Combinatorial structures on triangulations. III: Coloring with regular polyhedra
• Goldberg-Coxeter construction for 3- and 4-valent plane graphs
• Fourth class of convex equilateral polyhedron with polyhedral symmetry related to fullerenes and viruses
• Spectral Partitioning, Eigenvalue Bounds, and Circle Packings for Graphs of Bounded Genus

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