Embeddings of four-valent framed graphs into two-surfaces

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We study the problem of finding the minimal (maximal) genus for a surface where a given four-valent graph with fixed opposite edge structure can be embedded into. We find several partial relations and give new reformulations in combinatorial and knot theoretic languages.
30 pages, many figures

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Combinatorics, Geometric Topology, 05C10; 57M25

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http://salesiana.dossiersoluciones.com/handle/123456789/159857

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0804.4245
 http://arxiv.org/abs/0804.4245

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arXiv