Abstract
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.
Citation
Miki SHIMABARA. "Knots in Certain Spatial Graphs." Tokyo J. Math. 11 (2) 405 - 413, December 1988. https://doi.org/10.3836/tjm/1270133985
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