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Closed 2-cell embeddings in the projective plane

โœ Scribed by D. W. Barnette


Book ID
112897916
Publisher
The Hebrew University Magnes Press
Year
1992
Tongue
English
Weight
474 KB
Volume
79
Category
Article
ISSN
0021-2172

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We show that if G is a graph embedded on the projective plane in such a way that each noncontractible cycle intersects G at least n times and the embedding is minimal with respect to this property (i.e., the representativity of the embedding is n), then G can be reduced by a series of reduction oper

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A closed 2-cell embedding of a graph embedded in some surface is an embedding such that each face is bounded by a circuit in the graph. The closed 2-cell embedding conjecture says that every 2-connected graph has a closed 2-cell embedding in some surface. In this paper, we prove that any 2-connected