31 citations · 47 across the 8 of their papers we have counts for
10 papers
Poor ideal three-edge triangulations are minimal
Evgeny Fominykh, Ekaterina Shumakova
It is known that an ideal triangulation of a compact -manifold with nonempty boundary is minimal if and only if it contains the minimum number of edges among all ideal triangula…
Minimal 4-colored graphs representing an infinite family of hyperbolic 3-manifolds
P. Cristofori, E. Fominykh, M. Mulazzani +1
The graph complexity of a compact 3-manifold is defined as the minimum order among all 4-colored graphs representing it. Exact calculations of graph complexity have been already pe…
Complexity of virtual 3-manifolds
Evgeny Fominykh, Vladimir Turaev, Andrei Vesnin
Virtual -manifolds were introduced by S.V. Matveev in 2009 as natural generalizations of the classical -manifolds. In this paper, we introduce a notion of complexity of a vir…
4-colored graphs and knot/link complements
P. Cristofori, E. Fominykh, M. Mulazzani +1
A representation for compact 3-manifolds with non-empty non-spherical boundary via 4-colored graphs (i.e., 4-regular graphs endowed with a proper edge-coloration with four colors)…
Three-dimensional manifolds with poor spines
Evgeny Fominykh, Vladimir Turaev, Andrei Vesnin
A special spine of a three-manifold is said to be poor if it does not contain proper simple subpolyhedra. Using the Turaev-Viro invariants, we establish that every compact three-di…
A census of tetrahedral hyperbolic manifolds
Evgeny Fominykh, Stavros Garoufalidis, Matthias Goerner +2
We call a cusped hyperbolic 3-manifold tetrahedral if it can be decomposed into regular ideal tetrahedra. Following an earlier publication by three of the authors, we give a census…