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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Matroids determine the embeddability of graphs in surfaces


Author: Thomas Zaslavsky
Journal: Proc. Amer. Math. Soc. 106 (1989), 1131-1135
MSC: Primary 05C10; Secondary 05B35
MathSciNet review: 979055
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Abstract: The embeddability of a graph in a given surface is determined entirely by the polygon matroid of the graph. That is also true for cellular embeddability in nonorientable surfaces but not in orientable surfaces.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1989-0979055-7
PII: S 0002-9939(1989)0979055-7
Keywords: Primary, graph embedding, genus, demigenus, crosscap number, genus range, crosscap range, Secondary, polygon matroid, cycle matroid
Article copyright: © Copyright 1989 American Mathematical Society