Three-dimensional right-angled polytopes of finite volume in the Lobachevsky space: combinatorics and constructions
From MaRDI portal
Publication:2285396
DOI10.1134/S0081543819030064zbMath1443.52009OpenAlexW2980368333WikidataQ126995275 ScholiaQ126995275MaRDI QIDQ2285396
Publication date: 8 January 2020
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0081543819030064
Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Three-dimensional polytopes (52B10) Planar graphs; geometric and topological aspects of graph theory (05C10) Structural characterization of families of graphs (05C75)
Related Items
Ideal right-angled polyhedra in Lobachevsky space, 𝐵-rigidity of the property to be an almost Pogorelov polytope, Theory of families of polytopes: fullerenes and Pogorelov polytopes, Cohomological rigidity of families of manifolds associated with ideal right-angled hyperbolic 3-polytopes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Truncations of simple polytopes and applications
- Exponentially many perfect matchings in cubic graphs
- How to cage an egg
- Fullerene graphs have exponentially many perfect matchings
- Edge reductions in cyclically \(k\)-connected cubic graphs
- Cyclic edge-cuts in fullerene graphs
- On cyclic edge-connectivity of fullerenes
- Organizing volumes of right-angled hyperbolic polyhedra
- On cyclic edge-connectivity of transitive graphs
- Matching theory
- Three-dimensional hyperbolic manifolds of Löbell type
- A characterization of compact convex polyhedra in hyperbolic 3-space
- Generating the \(c^*5\)-connected graphs
- On lower bounds of number of perfect matchings in fullerene graphs
- Euclidean structures on simplicial surfaces and hyperbolic volume
- Cyclical edge-connectivity of fullerene graphs and \((k,6)\)-cages
- The hyperbolic geometry of Markov's theorem on Diophantine approximation and quadratic forms
- Construction of fullerenes and Pogorelov polytopes with 5-, 6- and one 7-gonal face
- A characterization of ideal polyhedra in hyperbolic 3-space
- On generating planar graphs
- Perfect matchings in planar cubic graphs
- Discrete conformal maps and ideal hyperbolic polyhedra
- A regular partition of Lobachevskian space
- Generation of simple quadrangulations of the sphere
- Fullerenes and disk-fullerenes
- Mathematical aspects of fullerenes
- On manifolds defined by 4-colourings of simple 3-polytopes
- Constructions of families of three-dimensional polytopes, characteristic patches of fullerenes, and Pogorelov polytopes
- A non-Hamiltonian planar graph
- Lectures on Polytopes
- Convex Polytopes
- Variational principles for circle patterns and Koebe’s theorem
- Congruent Graphs and the Connectivity of Graphs
- FULLERENES, POLYTOPES AND TORIC TOPOLOGY
- The group of projectivities and colouring of the facets of a simple polytope
- Exploring the List of Smallest Right-Angled Hyperbolic Polyhedra
- Conway topograph, -dynamics and two-valued groups
- Combinatorics of flag simplicial 3-polytopes
- Cohomological rigidity of manifolds defined by 3-dimensional polytopes
- Right-angled polyhedra and hyperbolic 3-manifolds
- Rolling of Coxeter Polyhedra Along Mirrors
- Toric Topology
- ON CONVEX POLYHEDRA IN LOBAČEVSKIĬ SPACES
- ON CONVEX POLYHEDRA OF FINITE VOLUME IN LOBAČEVSKIĬ SPACE
- A Generation Procedure for the Simple 3-Polytopes With Cyclically 5-Connected Graphs
- Three-dimensional manifolds defined by coloring a simple polytope