JP Journal of Geometry and Topology
Volume 10, Issue 1, Pages 41 - 62
(March 2010)
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CHARACTERIZATION OF MINIMAL 3-MANIFOLDS BY EDGE-COLOURED GRAPHS
Maria Rita Casali
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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. |
| Keywords and phrases: edge-coloured graph, minimal 3-manifold, Heegaard genus, regular genus. |
| Communicated by Yasuo Matsushita |
| Number of Downloads: 264 | Number of Views: 879 |
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