Exact number of chord diagrams and an estimation of the number of spine diagrams of order n

Chinese Science Bulletin

Volumn 42, Issue 9, 1997, Pages 705-718

  Li, Banghe ^a   Sun, Hongwei ^a  

^a INSTITUTE OF SYSTEMS SCIENCE   (China)

Author keywords

Chord diagram; Combinatorics; Knot; Spine diagram; Vassiliev invariant

Indexed keywords

EID: 0011431902     PISSN: 10016538     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF03186960     Document Type: Article

References (6)

1. Arnold, V. I., Vassiliev's theory of discriminants and knots, Plenary Lecture at the First European Congress of Mathematics, Paris, July, 1992.
2. Birman, J., Lin, X. S., Knot polynomials and Vassiliev invariants, Invent. Math., 1993, 111: 225.
3. Bar-Natan, D., On the Vassiliev knot invariants, Topology, 1995, 34: 423.
4. Kontsevich, M., Vassiliev's knot invariants, Adv. in Sov. Math., 1993, 16: 137.
5. Chmutov, S. V., Duzhin, S. V., An upper bound for the number of Vassiliev knot invariants, J. Knot Th. Ramif., 1994, 3: 141.
6. Przytycki, J. H., Vassiliev-Gusarov Skein Modules of 3-Manifolds and Criteria for Knot's Periodicity, Preprint, Dec. 1992.