Full paper in PDF:
$%R. Nikkuni, Delta link-homotopy on spatial graphs, Rev. Mat. Complut. 15 (2002), no. 2,
543-570.%$
ABSTRACT
We study new equivalence relations in spatial graph theory. We consider natural
generalizations of delta link-homotopy on links, which is an equivalence relation
generated by delta moves on the same component and ambient isotopies. They
are stronger than edge-homotopy and vertex-homotopy on spatial graphs which
are natural generalizations of link-homotopy on links. Relationship to existing
familiar equivalence relations on spatial graphs are stated, and several invariants
are defined by using the second coefficient of the Conway polynomial and the
third derivative at
of the Jones polynomial of a knot.
2000 Mathematics Subject Classification: 57M25, 57M15, 05C10.