Sharp edge-homotopy on spatial graphs.

Nikkuni, Ryo. "Sharp edge-homotopy on spatial graphs.." Revista Matemática Complutense 18.1 (2005): 181-207. <http://eudml.org/doc/38159>.

@article{Nikkuni2005,
abstract = {A sharp-move is known as an unknotting operation for knots. A self sharp-move is a sharp-move on a spatial graph where all strings in the move belong to the same spatial edge. We say that two spatial embeddings of a graph are sharp edge-homotopic if they are transformed into each other by self sharp-moves and ambient isotopies. We investigate how is the sharp edge-homotopy strong and classify all spatial theta curves completely up to sharp edge-homotopy. Moreover we mention a relationship between sharp edge-homotopy and delta edge (resp. vertex)-homotopy on spatial graphs.},
author = {Nikkuni, Ryo},
journal = {Revista Matemática Complutense},
keywords = {Nudos topológicos; Homotopía; Grafo espacial; spatial graph; sharp move; delta move; local move},
language = {eng},
number = {1},
pages = {181-207},
title = {Sharp edge-homotopy on spatial graphs.},
url = {http://eudml.org/doc/38159},
volume = {18},
year = {2005},
}

TY - JOUR
AU - Nikkuni, Ryo
TI - Sharp edge-homotopy on spatial graphs.
JO - Revista Matemática Complutense
PY - 2005
VL - 18
IS - 1
SP - 181
EP - 207
AB - A sharp-move is known as an unknotting operation for knots. A self sharp-move is a sharp-move on a spatial graph where all strings in the move belong to the same spatial edge. We say that two spatial embeddings of a graph are sharp edge-homotopic if they are transformed into each other by self sharp-moves and ambient isotopies. We investigate how is the sharp edge-homotopy strong and classify all spatial theta curves completely up to sharp edge-homotopy. Moreover we mention a relationship between sharp edge-homotopy and delta edge (resp. vertex)-homotopy on spatial graphs.
LA - eng
KW - Nudos topológicos; Homotopía; Grafo espacial; spatial graph; sharp move; delta move; local move
UR - http://eudml.org/doc/38159
ER -