{"paper":{"title":"A characterization of triangulations of closed surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Isabel Hubard, Javier Bracho, Jorge Arocha, Natalia Garcia-Colin","submitted_at":"2013-03-15T04:27:46Z","abstract_excerpt":"In this paper we prove that a finite triangulation of a connected closed surface is completely determined by its intersection matrix. The \\emph{intersection matrix} of a finite triangulation, $K$, is defined as $M_{K}=(dim(s_{i}\\cap s_{j}))_{0\\leq i,0\\leq j}^{n-1}$, where $K_{2}=\\{s_{0}, \\ldots s_{n-1}\\}$ is a labelling of the triangles of $K$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.3674","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}