5 citations · 10 across the 3 of their papers we have counts for
4 papers
Combinatorics of flag simplicial 3-polytopes
Vadim Volodin
In the focus of this paper is the operation of edge contraction. One can show that simplicial 3-polytope is flag iff contraction of any its edge gives simplicial 3-polytope. Our ma…
Geometric realization of -vectors of 2-truncated cubes
Vadim Volodin
This paper continues investigation of the class of flag simple polytopes called 2-truncated cubes. It is an extended version of the short note Volodin (2012). A 2-truncated cube is…
Upper and lower bound theorems for graph-associahedra
Victor M. Buchstaber, Vadim Volodin
From the paper of the first author it follows that upper and lower bounds for -vector of a simple polytope imply the bounds for its -,- and -vectors. In the paper of th…
Cubical realizations of flag nestohedra and Gal's conjecture
Vadim Volodin
We study nestohedra corresponding to building sets . It is shown that every flag nestohedron can be obtained from a cube by successive shavings faces of codimension 2. We…