Embeddings of four-valent framed graphs into two-surfaces
Combinatorics
2008-04-29 v1 Geometric Topology
Abstract
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.
Keywords
Cite
@article{arxiv.0804.4245,
title = {Embeddings of four-valent framed graphs into two-surfaces},
author = {Vassily Olegovich Manturov},
journal= {arXiv preprint arXiv:0804.4245},
year = {2008}
}
Comments
30 pages, many figures