On the Braids for 8 10 Knot

Hakan Şimşek; Ahmet Küçük

TR EN

On the Braids for 8 10 Knot

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.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Hakan Şimşek This is me

Ahmet Küçük This is me

Publication Date

July 1, 2001

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2001 Volume: 2 Number: 2

IZ

https://izlik.org/JA79RF32TK

Cite

RIS / Bibtex

APA

Şimşek, H., & Küçük, A. (2001). On the Braids for 8 10 Knot. Doğuş Üniversitesi Dergisi, 2(2), 105-114. https://izlik.org/JA79RF32TK

AMA

1.Şimşek H, Küçük A. On the Braids for 8 10 Knot. Doğuş Üniversitesi Dergisi. 2001;2(2):105-114. https://izlik.org/JA79RF32TK

Chicago

Şimşek, Hakan, and Ahmet Küçük. 2001. “On the Braids for 8 10 Knot”. Doğuş Üniversitesi Dergisi 2 (2): 105-14. https://izlik.org/JA79RF32TK.

EndNote

Şimşek H, Küçük A (July 1, 2001) On the Braids for 8 10 Knot. Doğuş Üniversitesi Dergisi 2 2 105–114.

IEEE

[1]H. Şimşek and A. Küçük, “On the Braids for 8 10 Knot”, Doğuş Üniversitesi Dergisi, vol. 2, no. 2, pp. 105–114, July 2001, [Online]. Available: https://izlik.org/JA79RF32TK

ISNAD

Şimşek, Hakan - Küçük, Ahmet. “On the Braids for 8 10 Knot”. Doğuş Üniversitesi Dergisi 2/2 (July 1, 2001): 105-114. https://izlik.org/JA79RF32TK.

JAMA

1.Şimşek H, Küçük A. On the Braids for 8 10 Knot. Doğuş Üniversitesi Dergisi. 2001;2:105–114.

MLA

Şimşek, Hakan, and Ahmet Küçük. “On the Braids for 8 10 Knot”. Doğuş Üniversitesi Dergisi, vol. 2, no. 2, July 2001, pp. 105-14, https://izlik.org/JA79RF32TK.

Vancouver

1.Hakan Şimşek, Ahmet Küçük. On the Braids for 8 10 Knot. Doğuş Üniversitesi Dergisi [Internet]. 2001 Jul. 1;2(2):105-14. Available from: https://izlik.org/JA79RF32TK