Theory of families of polytopes: fullerenes and Pogorelov polytopes

DOI10.3103/S0027132221020042zbMath1473.52020OpenAlexW3186941465MaRDI QIDQ1980457

Publication date: 8 September 2021

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027132221020042

zbMATH Keywords

hyperbolic manifold fullerene cohomological rigidity belt of faces cyclic \(k\)-edge connectivity Pogorelov polytope three-dimensional polytope Thurston geometrization

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Three-dimensional polytopes (52B10)

Cites Work

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Truncations of simple polytopes and applications
Three-dimensional hyperelliptic manifolds
Convex polytopes, Coxeter orbifolds and torus actions
Real quadrics in \(\mathbb C^n\), complex manifolds and convex polytopes
Cyclic edge-cuts in fullerene graphs
On cyclic edge-connectivity of fullerenes
Organizing volumes of right-angled hyperbolic polyhedra
Geometrization of 3-dimensional Coxeter orbifolds and Singer's conjecture
Numbers of faces in disordered patches
Three-dimensional hyperbolic manifolds of Löbell type
Generating the \(c^*5\)-connected graphs
On lower bounds of number of perfect matchings in fullerene graphs
Nonpositive curvature of blow-ups
Cyclical edge-connectivity of fullerene graphs and \((k,6)\)-cages
Vanishing theorems and conjectures for the 2-homology of right-angled Coxeter groups
Construction of fullerenes and Pogorelov polytopes with 5-, 6- and one 7-gonal face
The orientability of small covers and coloring simple polytopes
A characterization of ideal polyhedra in hyperbolic 3-space
On generating planar graphs
Three-dimensional right-angled polytopes of finite volume in the Lobachevsky space: combinatorics and constructions
3-manifold groups
A regular partition of Lobachevskian space
Generation of simple quadrangulations of the sphere
Fullerenes and disk-fullerenes
Polyhedral products and commutator subgroups of right-angled Artin and Coxeter groups
Constructions of families of three-dimensional polytopes, characteristic patches of fullerenes, and Pogorelov polytopes
A non-Hamiltonian planar graph
Fundamental Groups of Small Covers Revisited
Lectures on Polytopes
Convex Polyhedra
FULLERENES, POLYTOPES AND TORIC TOPOLOGY
Exploring the List of Smallest Right-Angled Hyperbolic Polyhedra
Combinatorics of flag simplicial 3-polytopes
Cohomological rigidity of manifolds defined by 3-dimensional polytopes
Right-angled polyhedra and hyperbolic 3-manifolds
On the growth rate of the number of fullerenes
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

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