(1, 2) and weak (1, 3) homotopies on knot projections N Ito, Y Takimura Journal of Knot Theory and Its Ramifications 22 (14), 1350085, 2013 | 34 | 2013 |
Strong and weak homotopies on knot projections N Ito, Y Takimura, K Taniyama | 18 | 2015 |
Sub-chord diagrams of knot projections N Ito, Y Takimura arXiv preprint arXiv:2005.00298, 2020 | 14 | 2020 |
Knot projections N Ito Chapman and Hall/CRC, 2016 | 14 | 2016 |
The half-twisted splice operation on reduced knot projections N Ito, A Shimizu Journal of Knot Theory and Its Ramifications 21 (11), 1250112, 2012 | 14 | 2012 |
Space of chord diagrams on spherical curves N Ito International Journal of Mathematics 30 (12), 1950060, 2019 | 12 | 2019 |
Finite type invariants of nanowords and nanophrases A Gibson, N Ito Topology and its Applications 158 (8), 1050-1072, 2011 | 11 | 2011 |
Crosscap number and knot projections N Ito, Y Takimura International Journal of Mathematics 29 (12), 1850084, 2018 | 10 | 2018 |
A distance on the equivalence classes of spherical curves generated by deformations of type RI Y Funakoshi, M Hashizume, N Ito, T Kobayashi, H Murai Journal of Knot Theory and Its Ramifications 27 (12), 1850066, 2018 | 10 | 2018 |
Crosscap number of knots and volume bounds N Ito, Y Takimura International Journal of Mathematics 31 (13), 2050111, 2020 | 9 | 2020 |
On Reidemeister invariance of the Khovanov homology group of the Jones polynomial N Ito arXiv preprint arXiv:0901.3952, 2009 | 9 | 2009 |
The tabulation of prime knot projections with their mirror images up to eight double points N Ito, Y Takimura arXiv preprint arXiv:2108.09698, 2021 | 8 | 2021 |
Strong and weak (1, 2) homotopies on knot projections and new invariants N Ito, Y Takimura arXiv preprint arXiv:2011.07228, 2020 | 8 | 2020 |
Triple chords and strong (1, 2) homotopy N Ito, Y Takimura Journal of the Mathematical Society of Japan 68 (2), 637-651, 2016 | 8 | 2016 |
Chain homotopy maps for Khovanov homology N Ito Journal of Knot Theory and Its Ramifications 20 (01), 127-139, 2011 | 8 | 2011 |
Finite-type invariants for curves on surfaces N Ito | 8 | 2009 |
Crossing change on Khovanov homology and a categorified Vassiliev skein relation N Ito, J Yoshida Journal of Knot Theory and Its Ramifications 29 (07), 2050051, 2020 | 7 | 2020 |
Based chord diagrams of spherical curves N Ito Kodai Mathematical Journal 41 (2), 375-396, 2018 | 7 | 2018 |
On a nontrivial knot projection under (1, 3) homotopy N Ito, Y Takimura Topology and its Applications 210, 22-28, 2016 | 7 | 2016 |
A lower bound of crosscap numbers of alternating knots N Ito, Y Takimura Journal of Knot Theory and Its Ramifications 29 (01), 1950092, 2020 | 6 | 2020 |