Unknotting number and knot diagram.

Yasutaka Nakanishi

Revista Matemática de la Universidad Complutense de Madrid (1996)

  • Volume: 9, Issue: 2, page 359-366
  • ISSN: 1139-1138

Abstract

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This note is a continuation of a former paper, where we have discussed the unknotting number of knots with respect to knot diagrams. We will show that for every minimum-crossing knot-diagram among all unknotting-number-one two-bridge knot there exist crossings whose exchange yields the trivial knot, if the third Tait conjecture is true.

How to cite

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Nakanishi, Yasutaka. "Unknotting number and knot diagram.." Revista Matemática de la Universidad Complutense de Madrid 9.2 (1996): 359-366. <http://eudml.org/doc/44233>.

@article{Nakanishi1996,
abstract = {This note is a continuation of a former paper, where we have discussed the unknotting number of knots with respect to knot diagrams. We will show that for every minimum-crossing knot-diagram among all unknotting-number-one two-bridge knot there exist crossings whose exchange yields the trivial knot, if the third Tait conjecture is true.},
author = {Nakanishi, Yasutaka},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Nudos topológicos; Invariantes topológicos; 2-bridge knot},
language = {eng},
number = {2},
pages = {359-366},
title = {Unknotting number and knot diagram.},
url = {http://eudml.org/doc/44233},
volume = {9},
year = {1996},
}

TY - JOUR
AU - Nakanishi, Yasutaka
TI - Unknotting number and knot diagram.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1996
VL - 9
IS - 2
SP - 359
EP - 366
AB - This note is a continuation of a former paper, where we have discussed the unknotting number of knots with respect to knot diagrams. We will show that for every minimum-crossing knot-diagram among all unknotting-number-one two-bridge knot there exist crossings whose exchange yields the trivial knot, if the third Tait conjecture is true.
LA - eng
KW - Nudos topológicos; Invariantes topológicos; 2-bridge knot
UR - http://eudml.org/doc/44233
ER -

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