Embeddings of four-valent framed graphs into two-surfaces

Details Embeddings of four-valent framed graphs into two-surfaces Embeddings of four-valent framed graphs into two-surfaces

2008-04-26

arxiv.org/abs/0804.4245v1

Mathematics

Combinatorics

30 pages, many figures

Scientific paper

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.

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