3-manifolds represented by 4-regular graphs with three Eulerian cycles

DOI10.1070/RM10013zbMath1486.57025arXiv2105.06281OpenAlexW4205145208MaRDI QIDQ5068123

Andrei V. Malyutin, E. V. Shumakova, Evgeny Fominykh

Publication date: 5 April 2022

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.06281

zbMATH Keywords

Eulerian cyclehyperbolic three-manifoldsspecial spineMatveev complexitypolyhedral realizationtopological ideal triangulation

Mathematics Subject Classification ID

Eulerian and Hamiltonian graphs (05C45) Invariants of 3-manifolds (including skein modules, character varieties) (57K31) Hyperbolic 3-manifolds (57K32)

Cites Work

• The asymptotic connectivity of labelled regular graphs
• A characterisation of graphs having three pariwise compatible Euler tours
• Complexity and Heegaard genus of an infinite class of compact 3-manifolds.
• The Asymptotic Number of Unlabelled Regular Graphs
• Algorithmic topology and classification of 3-manifolds

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