We characterize combinatorial representations of minimal 3-manifolds by means of edge-coloured graphs. This enables their recognition among existing crystallization catalogues, and contemporarily enables the automatic construction of efficient and exhaustive catalogues representing all minimal 3-manifolds up to a fixed genus.
Characterization of minimal 3-manifolds by edge-coloured graphs / Casali, Maria Rita. - In: JP JOURNAL OF GEOMETRY AND TOPOLOGY. - ISSN 0972-415X. - STAMPA. - 10:1(2010), pp. 41-62.
Characterization of minimal 3-manifolds by edge-coloured graphs
CASALI, Maria Rita
2010-01-01
Abstract
We characterize combinatorial representations of minimal 3-manifolds by means of edge-coloured graphs. This enables their recognition among existing crystallization catalogues, and contemporarily enables the automatic construction of efficient and exhaustive catalogues representing all minimal 3-manifolds up to a fixed genus.
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