%0 Journal Article %T Reconstructing surface triangulations by their intersection matrices %A Jorge Arocha %A Javier Bracho %A Natalia Garc¨ªa-Col¨ªn %A Isabel Hubard %J Mathematics %D 2014 %I arXiv %X The intersection matrix of a ?nite simplicial complex has as each of its entries the rank of the intersection of its respective simplices. We prove that such matrix de?nes the triangulation of a closed connected surface up to isomorphism. %U http://arxiv.org/abs/1402.6012v1