7 citations · 28 across the 5 of their papers we have counts for
5 papers
Fullerenes, Polytopes and Toric Topology
Victor M. Buchstaber, Nickolai Erokhovets
The lectures are devoted to a remarkable class of -dimensional polytopes, which are mathematical models of the important object of quantum physics, quantum chemistry and nanotec…
Construction of fullerenes
Victor M. Buchstaber, Nickolai Erokhovets
We present an infinite series of operations on fullerenes generalizing the Endo-Kroto operation, such that each combinatorial fullerene is obtained from the dodecahedron by a seque…
Criterion for the Buchstaber invariant of simplicial complexes to be equal to two
Nickolai Erokhovets
In this paper we study the Buchstaber invariant of simplicial complexes, which comes from toric topology. With each simplicial complex on vertices we can associate a moment…
Ring of Polytopes, Quasi-symmetric functions and Fibonacci numbers
Victor M. Buchstaber, Nickolai Erokhovets
In this paper we study the ring of combinatorial convex polytopes. We introduce the algebra of operators generated by the operators that send an $…
Buchstaber Invariant of Simple Polytopes
Nickolai Erokhovets
In this paper we study a new combinatorial invariant of simple polytopes, which comes from toric topology. With each simple n-polytope P with m facets we can associate a moment-ang…