21 citations · 79 across the 26 of their papers we have counts for
29 papers
The complexity of orientable graph manifolds
Alessia Cattabriga, Michele Mulazzani
We give an upper bound for the Matveev complexity of the whole class of closed connected orientable prime graph manifolds that is sharp for all 14502 graph manifolds of the Recogni…
Compact n-manifolds via (n+1)-colored graphs: a new approach
Luigi Grasselli, Michele Mulazzani
We introduce a representation via (n+1)-colored graphs of compact n-manifolds with (possibly empty) boundary, which appears to be very convenient for computer aided study and tabul…
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…
On the complexity of non-orientable Seifert fibre spaces
Alessia Cattabriga, Sergei Matveev, Michele Mulazzani +1
In this paper we deal with Seifert fibre spaces, which are compact 3-manifolds admitting a foliation by circles. We give a combinatorial description for these manifolds in all the…
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)…
Compact 3-manifolds via 4-colored graphs
Paola Cristofori, Michele Mulazzani
We introduce a representation of compact 3-manifolds without spherical boundary components via (regular) 4-colored graphs, which turns out to be very convenient for computer aided…