Geodesic
Flexibility of embeddings of bouquets of circles on the projective plane and Klein bottle
The electronic journal of combinatorics, Tome 14 (2007)
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In this paper, we study the flexibility of embeddings of bouquets of circles on the projective plane and the Klein bottle. The numbers (of equivalence classes) of embeddings of bouquets of circles on these two nonorientable surfaces are obtained in explicit expressions. As their applications, the numbers (of isomorphism classes) of rooted one-vertex maps on these two nonorientable surfaces are deduced.
DOI : 10.37236/998
Classification : 05C10, 05C30
Mots-clés : flexibility, bouquets of circles, projective plane, Klein bottle, number of embeddings, nonorientable surfaces 
@article{10_37236_998,
     author = {Yan Yang and Yanpei Liu},
     title = {Flexibility of embeddings of bouquets of circles on the projective plane and {Klein} bottle},
     journal = {The electronic journal of combinatorics},
     year = {2007},
     volume = {14},
     doi = {10.37236/998},
     zbl = {1158.05316},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/998/}
}
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Yan Yang; Yanpei Liu. Flexibility of embeddings of bouquets of circles on the projective plane and Klein bottle. The electronic journal of combinatorics, Tome 14 (2007). doi: 10.37236/998

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