We use the representation of PL manifolds via graphs with colored edges. Then we describe a very fast construction to obtain a 4-colored graph representing a closed orientable 3-manifold from its Heegaard diagram. This construction allows us to completely classify a countable class of closed orientable 3-manifolds introduced by L. Neuwirth in Proc. Camb. Phil. Soc. 64 (1968).
Neuwirth manifolds and colourings of graphs / Cavicchioli, Alberto. - In: AEQUATIONES MATHEMATICAE. - ISSN 0001-9054. - STAMPA. - 44:(1992), pp. 168-187.
Neuwirth manifolds and colourings of graphs
CAVICCHIOLI, Alberto
1992
Abstract
We use the representation of PL manifolds via graphs with colored edges. Then we describe a very fast construction to obtain a 4-colored graph representing a closed orientable 3-manifold from its Heegaard diagram. This construction allows us to completely classify a countable class of closed orientable 3-manifolds introduced by L. Neuwirth in Proc. Camb. Phil. Soc. 64 (1968).Pubblicazioni consigliate
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