A characterization of triangulations of closed surfaces
Jorge L. Arocha, Javier Bracho, Natalia García‐Colín, Isabel Hubard · Scuola Normale Superiore eBooks · 2013
In this paper we prove that a finite triangulation of a connected closed surface is completely determined by its intersection matrix. The intersection matrix of a finite triangulation, K, is defined as \( M_K = (\dim (s_i \cap s_j ))_{0 \leqslant i,0 \leqslant j}^{n - 1} \), where K 2 = {s 0,… s n−1 } is a labelling of the triangles of K.