3 citations · 9 across the 10 of their papers we have counts for
3 papers · 1 filter
Polyhedral volume ratios, Izmestiev's Colin de Verdiere matrices and Spectral Gaps
Ioannis Ivrissimtzis, Carsten Lange, Shiping Liu +1
We present a relation between volumes of certain lower dimensional simplices associated to a full-dimensional primal and polar dual polytope in R^k. We then discuss an application…
Trivalent expanders, -transformation, and hyperbolic surfaces
Ioannis Ivrissimtzis, Norbert Peyerimhoff, Alina Vdovina
We construct a new family of trivalent expanders tessellating hyperbolic surfaces with large isometry groups. These graphs are obtained from a family of Cayley graphs of nilpotent…
Trivalent expanders and hyperbolic surfaces
Ioannis Ivrissimtzis, Norbert Peyerimhoff, Alina Vdovina
We introduce a family of trivalent expanders which tessellate compact hyperbolic surfaces with large isometry groups. We compare this family with Platonic graphs and modifications…