과제정보
연구 과제 주관 기관 : KOSEF
참고문헌
- Y. Choi, M. -J. Jeong and C. -Y. Park, Twist of knots and the Q -polynomials, Kyungpook Math. J., 44(2004), 449-467.
- S. Garoufalidis, Signatures of links and finite type invariants of cyclic branched covers, Tel Aviv Topology Conference: Rothenberg Festschrift, (1998), 87-97, Contemp. Math., 231, Amer. Math. Soc., Providence, RI, 1999.
- J. L. Gross and T. W. Tucker, Topological graph theory, John Wiley & Sons, 1987.
- L. H. Kauffman and L. R. Taylor, Signature of links, Trans. Amer. Math. Soc., 216(1976), 351-365. https://doi.org/10.1090/S0002-9947-1976-0388373-0
- A. Kawauchi, A survey of knot theory, Birkhauser -Verlag,Basel, Boston, and Berlin, 1996.
- K. H. Ko and W. T. Song, Seifert matrices of periodic knots, J. Knot Theory Ramifications, 16(1)(2007), 45-57. https://doi.org/10.1142/S021821650700518X
- S. Y. Lee, M. -S. Park and M. Seo, The Seifert matrices of periodic links with rational quotients, Kyungpook Math. J., 47(2)(2007), 295-309.
- J. Levine, The role of the Seifert matrix in knot theory, Actes du Congres International des Mathematiciens (Nice, 1970), Tome 2, pp. 95-98. Gauthier-Villars, Paris, 1971.
- W. Lickorish, An Introduction to Knot Theory, Springer-Verlag New York, Inc., 1997.
- Y. Miyazawa, Knots with a trivial coefficient polynomial, Kyungpook Math. J., 49(4)(2009), 801-809. https://doi.org/10.5666/KMJ.2009.49.4.801
- K. Murasugi, On the signature of links, Topology 9, (1970), 283-298. https://doi.org/10.1016/0040-9383(70)90018-2
- H. Seifert, U ber das geschlecht von knoten, Math. Ann, 110, 1934.
- H. F. Trotter, On S-equivalence of Seifert matrices, Invent. Math., 20(1973), 173-207. https://doi.org/10.1007/BF01394094
- A. White, Graphs, Groups and Surfaces, Elsevier Science Publishers B.V, 1984.
피인용 문헌
- On Gauss diagrams of periodic virtual knots vol.24, pp.10, 2015, https://doi.org/10.1142/S0218216515400088
- Determinant Formulae of Matrices with Certain Symmetry and Its Applications vol.9, pp.12, 2017, https://doi.org/10.3390/sym9120303