Disk/Band Surfaces of Spatial Graphs
SOMA, Teruhiko ; SUGAI, Hideyuki ; YASUHARA, Akira
Tokyo J. of Math., Tome 20 (1997) no. 2, p. 1-11 / Harvested from Project Euclid
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In this paper, we show that, for any spatial embedding $\Gamma:G\to\mathbf{R}^3$ of a connected planar graph $G$, there exists a disk/band surface of $\Gamma(G)$ satisfying a certain linking condition. As an application of this result, it is proved that the homology class of $\Gamma(G)$ is determined only by the linking numbers of disjoint pairs in the set of boundary/outermost cycles with respect to a fixed planar embedding of $G$.
Publié le : 1997-06-15
Classification:  
@article{1270042393,
     author = {SOMA, Teruhiko and SUGAI, Hideyuki and YASUHARA, Akira},
     title = {Disk/Band Surfaces of Spatial Graphs},
     journal = {Tokyo J. of Math.},
     volume = {20},
     number = {2},
     year = {1997},
     pages = { 1-11},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1270042393}
}

SOMA, Teruhiko; SUGAI, Hideyuki; YASUHARA, Akira. Disk/Band Surfaces of Spatial Graphs. Tokyo J. of Math., Tome 20 (1997) no. 2, pp.  1-11. http://gdmltest.u-ga.fr/item/1270042393/