Knots in Certain Spatial Graphs
SHIMABARA, Miki
Tokyo J. of Math., Tome 11 (1988) no. 2, p. 405-413 / Harvested from Project Euclid
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In 1983, J. H. Conway and C. McA. Gordon showed in [1] that every embedding of the complete graph $K_7$ in the three-dimensional Euclidean space $\mathbf{R}^3$ contains a knotted cycle. In this paper we generalize their method and show that every embedding of the complete bipartite graph $K_{5,5}$ in $\mathbf{R}^3$ contains a knotted cycle.
Publié le : 1988-12-15
Classification:  
@article{1270133985,
     author = {SHIMABARA, Miki},
     title = {Knots in Certain Spatial Graphs},
     journal = {Tokyo J. of Math.},
     volume = {11},
     number = {2},
     year = {1988},
     pages = { 405-413},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1270133985}
}

SHIMABARA, Miki. Knots in Certain Spatial Graphs. Tokyo J. of Math., Tome 11 (1988) no. 2, pp.  405-413. http://gdmltest.u-ga.fr/item/1270133985/