On Knot Graphs
Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi, cilt.18, ss.87-91, 2002 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 18
- Basım Tarihi: 2002
- Doi Numarası: 10.1016/s0166-8641(01)00189-4
- Dergi Adı: Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.87-91
- Anahtar Kelimeler: clasp-pass move, delta move, spatial graph, FINITE-TYPE INVARIANTS, VASSILIEV INVARIANTS, EMBEDDINGS, HOMOLOGY
- Atatürk Üniversitesi Adresli: Evet
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.