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Year 2001, Volume: 2 Issue: 2, 105 - 114, 01.07.2001

Hakan Şimşek Ahmet Küçük

Abstract

Bu makale 8jo düğümü ve onun örgüsü ile ilgilidir. Düğüm teorisinde önemli kavramlardan birisi olan örgü kavramını kullanarak 8jo düğümünün örgüsü­nün Artin ve Garside temsilini elde edeceğiz. Daha sonra pozitiflik kavramı irdele­necektir

Keywords

Örgü Pozitif kelime Örgü Temsili

References

  • ARTIN, E. (1925).Theorie der Zopfe Hamburg Abh. 4, 47-72.
  • BIRM AN, J., K.H. KO and S.J. LEE (1998). “A New Aproach To The Word And Conjugacy Problems In The Braid Group”, Advances In Mathematics, vol. 139, (issue 2), 322-353.
  • BIRM AN, J. (1974). Braids,Links and M apping Class Groups, Princeton Universty Press.
  • BUSKIRK, J.V. (1983). “Positive Knots Have Positive Conway Polynomials”, Springer Lecture Notes in Mathematics, 1144, 146-159.
  • GARSIDE, F.A. (1969). “The Braid Group and Other Groups”, Quarterly Journal o f M athematics, 20 No 78, 235-254.
  • MURASUGI., K. (1996). Knots Theory and Its Applications, Birkhauser: Boston.
  • PATERSON, M. S., and A.A. RASBOROV (1991). “The Set M inimal Braids is co_NP-Complete”, Journal o f Algorithms, 12, 393-408.

On the Braids for 8 10 Knot

Year 2001, Volume: 2 Issue: 2, 105 - 114, 01.07.2001

Hakan Şimşek Ahmet Küçük

Abstract

This paper is concerned with 810 knots and its braids. The braids structure is very important role in Knots Theory. In view of this structure, we obtained braids for that knot and we will give the representations of Artin and we examine Garside Word problem. And then we will examine the positivity structure for these knots.

Keywords

Braids Positive Word Representations of Braids

References

  • ARTIN, E. (1925).Theorie der Zopfe Hamburg Abh. 4, 47-72.
  • BIRM AN, J., K.H. KO and S.J. LEE (1998). “A New Aproach To The Word And Conjugacy Problems In The Braid Group”, Advances In Mathematics, vol. 139, (issue 2), 322-353.
  • BIRM AN, J. (1974). Braids,Links and M apping Class Groups, Princeton Universty Press.
  • BUSKIRK, J.V. (1983). “Positive Knots Have Positive Conway Polynomials”, Springer Lecture Notes in Mathematics, 1144, 146-159.
  • GARSIDE, F.A. (1969). “The Braid Group and Other Groups”, Quarterly Journal o f M athematics, 20 No 78, 235-254.
  • MURASUGI., K. (1996). Knots Theory and Its Applications, Birkhauser: Boston.
  • PATERSON, M. S., and A.A. RASBOROV (1991). “The Set M inimal Braids is co_NP-Complete”, Journal o f Algorithms, 12, 393-408.
There are 7 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Hakan Şimşek This is me

Ahmet Küçük This is me

Publication Date July 1, 2001
Published in Issue Year 2001 Volume: 2 Issue: 2

Cite

APA Şimşek, H., & Küçük, A. (2001). On the Braids for 8 10 Knot. Doğuş Üniversitesi Dergisi, 2(2), 105-114.