Poor Ideal Three-Edge Triangulations Are Minimal

An ideal triangulation of a compact \( 3 \)-manifold with nonempty boundary is known to be minimal if and only the contains minimum number edges among all triangulations manifold. Therefore, every one-edge (i.e., an singular exactly one edge) minimal. Vesnin, Turaev, Fominykh showed that two-edge no \)–\( 2 \) Pachner move can applied. In this paper we show each so-called poor three-edge We exploit property construct for infinite family hyperbolic \)-manifolds totally geodesic boundary.