A theorem on graph embedding with a relation to hyperbolic volume

DOI10.1007/s00493-014-2840-xzbMath1399.05051OpenAlexW2262119909MaRDI QIDQ5915868

Alexander Stoimenow

Publication date: 22 February 2018

Published in: Combinatorica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00493-014-2840-x

zbMATH Keywords

hyperbolic volume

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Triangulating manifolds (57Q15) General geometric structures on low-dimensional manifolds (57M50) Connectivity (05C40)

Related Items

Hyperbolicity of the canonical genus two knots

Uses Software

• OEIS
• plantri

Cites Work

• The volume conjecture for augmented knotted trivalent graphs
• An infinite set of torus triangulations of connectivity 5 whose graphs are not uniquely embeddable in the torus
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• Wheels, wheeling, and the Kontsevich integral of the unknot
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• The canonical genus of a classical and virtual knot
• Counting alternating knots by genus
• Thrice-Punctured Spheres in Hyperbolic 3-Manifolds
• A Census of Planar Triangulations
• Commutators in Free Products
• Knots of (canonical) genus two
• PRODUCTS OF COMMUTATORS AND PRODUCTS OF SQUARES IN A FREE GROUP
• Homogeneous Links
• Constructing of orientable wicks forms and estimation of their number
• Generation of Triangulations of the Sphere
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