Geodesic
On linking of hamiltonian pairs of cycles in spatial graphs
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 7 (2010), pp. 383-393

Voir la notice de l'article provenant de la source Math-Net.Ru

A pair of disjoint cycles in a graph is said to be hamiltonian if the union of cycles covers all vertices of the graph. It is shown that for each $n\ge7$ for any spatial embedding of the complete graph $K_n$ there is a hamiltonian pair that forms a nontrivial two-component link.
Mots-clés : spatial graph
Keywords: knot, link, hamiltonian cycle. 
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     title = {On linking of hamiltonian pairs of cycles in spatial graphs},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {383--393},
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     volume = {7},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2010_7_a24/}
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A. Yu. Vesnin; A. V. Litvintseva. On linking of hamiltonian pairs of cycles in spatial graphs. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 7 (2010), pp. 383-393. http://geodesic.mathdoc.fr/item/SEMR_2010_7_a24/