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 1 of the Jones polynomial of a knot.
@article{urn:eudml:doc:44366,
title = {Delta link-homotopy on spatial graphs.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {15},
year = {2002},
pages = {543-570},
zbl = {1024.57005},
mrnumber = {MR1951825},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44366}
}
Nikkuni, Ryo. Delta link-homotopy on spatial graphs.. Revista Matemática de la Universidad Complutense de Madrid, Tome 15 (2002) pp. 543-570. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44366/