On Knot Graphs

Uğur, Tamer; Şimşek, Hakan

doi:10.1016/s0166-8641(01)00189-4

Makale Tam Makale Ulusal 2002

On Knot Graphs

Tamer Uğur, Hakan Şimşek

Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi Cilt 18 · ss. 87–91 · 01.01.2002

DOI ile aç

Özet

A clasp-pass move is a local move on oriented links introduced by Habiro in 1993. He showed that two knots are transformed into each other by clasp-pass moves if and only if they have the same second coefficient of the Conway polynomial. We extend his classification to two-component links, three-component links, algebraically split links, and spatial embeddings of a planar graph that does not contain disjoint cycles. These are classified in terms of linking numbers, the second coefficient of the Conway polynomial, the Arf invariant, and the Milnor mu-invariant. (C) 2002 Elsevier Science B.V. All rights reserved.

Anahtar kelimeler

clasp-pass move delta move spatial graph FINITE-TYPE INVARIANTS VASSILIEV INVARIANTS EMBEDDINGS HOMOLOGY

Atıf için künye

Uğur, T., & Şimşek, H. (2002). On Knot Graphs. Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 18, 87–91. https://doi.org/10.1016/s0166-8641%2801%2900189-4

BibTeX

@article{ugur2002-74161,
  author = {Uğur, Tamer and Şimşek, Hakan},
  title = {On Knot Graphs},
  journal = {Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi},
  year = {2002},
  volume = {18},
  pages = {87--91},
  issn = {1012-2354},
  doi = {10.1016/s0166-8641(01)00189-4},
  url = {https://akademik.atauni.edu.tr/yayinlar/74161-on-knot-graphs}
}