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In [D.A. Fedoseev, V.O. Manturov, A sliceness criterion for odd freeknots,arXiv:1707.04923], the authors proved a sliceness criterion for odd freeknots: free knots with odd chords. In the present paper we give a similarcriterion for stably odd free knots. Some additional results on knot slicenessand cobordism are given.

Cobordisms of graphs. A sliceness criterion for stably odd knots and related results on cobordisms