# Delta link-homotopy on spatial graphs.

Revista Matemática Complutense (2002)

- Volume: 15, Issue: 2, page 543-570
- ISSN: 1139-1138

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topNikkuni, Ryo. "Delta link-homotopy on spatial graphs.." Revista Matemática Complutense 15.2 (2002): 543-570. <http://eudml.org/doc/44366>.

@article{Nikkuni2002,

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 1 of the Jones polynomial of a knot.},

author = {Nikkuni, Ryo},

journal = {Revista Matemática Complutense},

keywords = {Homotopía; Inmersiones; Teoría de grafos; Grafo espacial; Nudos topológicos; spatial graph; delta vertex-homotopy; delta edge-homotopy; invariant; balanced weight; Conway polynomial; Jones polynomial},

language = {eng},

number = {2},

pages = {543-570},

title = {Delta link-homotopy on spatial graphs.},

url = {http://eudml.org/doc/44366},

volume = {15},

year = {2002},

}

TY - JOUR

AU - Nikkuni, Ryo

TI - Delta link-homotopy on spatial graphs.

JO - Revista Matemática Complutense

PY - 2002

VL - 15

IS - 2

SP - 543

EP - 570

AB - 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.

LA - eng

KW - Homotopía; Inmersiones; Teoría de grafos; Grafo espacial; Nudos topológicos; spatial graph; delta vertex-homotopy; delta edge-homotopy; invariant; balanced weight; Conway polynomial; Jones polynomial

UR - http://eudml.org/doc/44366

ER -

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