An equivalence between the set of graph-knots and the set of homotopy classes of looped graphs

摘要

In the present paper we construct a one-to-one correspondence between the setof graph-knots and the set of homotopy classes of looped graphs. Moreover, thegraph-knot and the homotopy class constructed from a given knot are relatedwith this correspondence. This correspondence is given by a simple formula.