𝔖 Bobbio Scriptorium
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On the noninterpolation of polyhedral maps

✍ Scribed by Adrian Riskin; D.W. Barnette

Book ID
103061064
Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
529 KB
Volume
131
Category
Article
ISSN
0012-365X

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✦ Synopsis

In this paper we show that if attention is restricted to polyhedral embeddings of graphs, no theorem analogous to the Duke interpolation theorem for 2-cell embeddings is true. We alsg. give two interesting classes of graphs: (i) a class in which the members have polyhedral embeddings in the torus and also in orientable manifolds of arbitrarily high genus, (ii) and another in which the members have polyhedral embeddings in the projective plane and also in orientable and nonorientable manifolds of arbitrarily low Euler characteristic.

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