Petal number of torus knots of type (r,r+2)

被引:1
|
作者
Lee, Hwa Jeong [1 ]
Jin, Gyo Taek [2 ]
机构
[1] Dongguk Univ WISE, Dept Math Educ, Gyeongju 38066, South Korea
[2] Korea Adv Inst Sci & Technol, Dept Math Sci, Daejeon 34141, South Korea
基金
新加坡国家研究基金会;
关键词
Torus knot; petal projection; petal number; grid diagram;
D O I
10.1142/S0218216523400072
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let r be an odd integer, r = 3. Then the petal number of the torus knot of type (r, r + 2) is equal to 2r + 3.
引用
收藏
页数:8
相关论文
共 50 条
  • [31] TORUS KNOTS ARE FOURIER-(1,1,2) KNOTS
    Hoste, Jim
    JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2009, 18 (02) : 265 - 270
  • [32] Interpolation on the torus using sk-splines with number theoretic knots
    Gomes, SM
    Kushpel, AK
    Levesley, J
    Ragozin, DL
    JOURNAL OF APPROXIMATION THEORY, 1999, 98 (01) : 56 - 71
  • [33] Triple-crossing number, the genus of a knot or link and torus knots
    Jablonowski, Michal
    TOPOLOGY AND ITS APPLICATIONS, 2020, 285
  • [34] 2-BRIDGE NUMBERS OF TORUS KNOTS
    Matsuda, Hiroshi
    JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2013, 22 (01)
  • [35] A model reference adaptive controller for systems with uncertain relative degrees r, r+1 or r+2 and unknown signs of high-frequency gains
    Miyasato, Y
    AUTOMATICA, 2000, 36 (06) : 889 - 896
  • [36] Ropelength of superhelices and (2, n)-torus knots
    Huh, Youngsik
    Kim, Hyoungjun
    Oh, Seungsang
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2018, 51 (48)
  • [37] Note on the distortion of (2,q)-torus knots
    Studer, Luca
    ENSEIGNEMENT MATHEMATIQUE, 2016, 62 (1-2): : 109 - 116
  • [38] The R2R3-MYB transcription factor GaPC controls petal coloration in cotton
    Caiping Cai
    Fan Zhou
    Weixi Li
    Yujia Yu
    Zhihan Guan
    Baohong Zhang
    Wangzhen Guo
    TheCropJournal, 2023, 11 (05) : 1319 - 1330
  • [39] The R2R3-MYB transcription factor GaPC controls petal coloration in cotton
    Cai, Caiping
    Zhou, Fan
    Li, Weixi
    Yu, Yujia
    Guan, Zhihan
    Zhang, Baohong
    Guo, Wangzhen
    CROP JOURNAL, 2023, 11 (05): : 1319 - 1330
  • [40] Catalyst-free, visible-light-induced [2 r+2 a] cycloaddition towards azabicyclohexanes
    Yan, Min
    Ye, Zihao
    Lu, Ping
    CHINESE CHEMICAL LETTERS, 2025, 36 (06)