Allen, Samantha; İnce, Kenan; Kim, Seungwon; Ruppik, Benjamin Matthias; Turner, Hannah Unknotting via null-homologous twists and multitwists. (English) Zbl 07887953 Pac. J. Math. 330, No. 1, 25-41 (2024). MSC: 57K10 57K40 PDFBibTeX XMLCite \textit{S. Allen} et al., Pac. J. Math. 330, No. 1, 25--41 (2024; Zbl 07887953) Full Text: DOI arXiv
Joshi, Sahil; Negi, Komal; Prabhakar, Madeti Some evaluations of the Jones polynomial for certain families of weaving knots. (English) Zbl 1515.57008 Topology Appl. 329, Article ID 108466, 11 p. (2023). Reviewer: Nafaa Chbili (Abu Dhabi) MSC: 57K10 57K14 PDFBibTeX XMLCite \textit{S. Joshi} et al., Topology Appl. 329, Article ID 108466, 11 p. (2023; Zbl 1515.57008) Full Text: DOI arXiv
Kanenobu, Taizo; Takioka, Hideo \(4\)-move distance of knots. (English) Zbl 1497.57006 J. Knot Theory Ramifications 31, No. 9, Article ID 2250049, 14 p. (2022). Reviewer: Kenneth A. Perko Jr. (Scarsdale) MSC: 57K10 57K14 PDFBibTeX XMLCite \textit{T. Kanenobu} and \textit{H. Takioka}, J. Knot Theory Ramifications 31, No. 9, Article ID 2250049, 14 p. (2022; Zbl 1497.57006) Full Text: DOI
Higa, Ryuji Remarks relating to the ascending number and geometrical invariants of a knot. (English) Zbl 1500.57005 J. Knot Theory Ramifications 31, No. 6, Article ID 2250036, 13 p. (2022). Reviewer: Claus Ernst (Bowling Green) MSC: 57K10 PDFBibTeX XMLCite \textit{R. Higa}, J. Knot Theory Ramifications 31, No. 6, Article ID 2250036, 13 p. (2022; Zbl 1500.57005) Full Text: DOI
Akimoto, Yuta On inequalities between unknotting numbers and crossing numbers of spatial embeddings of trivializable graphs and handlebody-knots. (English) Zbl 1530.57001 J. Knot Theory Ramifications 31, No. 1, Article ID 2150079, 23 p. (2022). Reviewer: Miaowang Li (Dalian) MSC: 57K10 05C10 57M15 PDFBibTeX XMLCite \textit{Y. Akimoto}, J. Knot Theory Ramifications 31, No. 1, Article ID 2150079, 23 p. (2022; Zbl 1530.57001) Full Text: DOI arXiv
Joseph, Jason M.; Klug, Michael R.; Ruppik, Benjamin M.; Schwartz, Hannah R. Unknotting numbers of 2-spheres in the 4-sphere. (English) Zbl 1523.57025 J. Topol. 14, No. 4, 1321-1350 (2021). Reviewer: Inasa Nakamura (Saga) MSC: 57K45 57K10 57K40 57R42 57R52 PDFBibTeX XMLCite \textit{J. M. Joseph} et al., J. Topol. 14, No. 4, 1321--1350 (2021; Zbl 1523.57025) Full Text: DOI arXiv
Caprau, Carmen; González, Nicolle; Lee, Christine Ruey Shan; Lowrance, Adam M.; Sazdanović, Radmila; Zhang, Melissa On Khovanov homology and related invariants. (English) Zbl 1501.57009 Acu, Bahar (ed.) et al., Research directions in symplectic and contact geometry and topology. Selected papers based on the presentations at the 2019 women in symplectic and contact geometry and topology workshop, WiSCon, Providence, RI, USA, July 22–26, 2019. Cham: Springer. Assoc. Women Math. Ser. 27, 273-292 (2021). MSC: 57K18 57K10 57K33 57R17 53D35 PDFBibTeX XMLCite \textit{C. Caprau} et al., Assoc. Women Math. Ser. 27, 273--292 (2021; Zbl 1501.57009) Full Text: DOI arXiv
Higa, Ryuji; Maeda, Eishi A note on the ascending number. (English) Zbl 1494.57007 Kobe J. Math. 38, No. 1-2, 1-20 (2021). Reviewer: Vuong Huu Bao (Tomsk) MSC: 57K10 PDFBibTeX XMLCite \textit{R. Higa} and \textit{E. Maeda}, Kobe J. Math. 38, No. 1--2, 1--20 (2021; Zbl 1494.57007)
Gill, A.; Kaur, K.; Prabhakar, M.; Vesnin, A. An unknotting invariant for welded knots. (English) Zbl 1487.57016 Proc. Indian Acad. Sci., Math. Sci. 131, No. 2, Paper No. 47, 17 p. (2021). Reviewer: Andrew Fish (Brighton) MSC: 57K12 PDFBibTeX XMLCite \textit{A. Gill} et al., Proc. Indian Acad. Sci., Math. Sci. 131, No. 2, Paper No. 47, 17 p. (2021; Zbl 1487.57016) Full Text: DOI arXiv
Brittenham, Mark; Hermiller, Susan A counterexample to the Bernhard-Jablan unknotting conjecture. (English) Zbl 1480.57003 Exp. Math. 30, No. 4, 547-556 (2021). Reviewer: Kenneth A. Perko Jr. (Scarsdale) MSC: 57K10 PDFBibTeX XMLCite \textit{M. Brittenham} and \textit{S. Hermiller}, Exp. Math. 30, No. 4, 547--556 (2021; Zbl 1480.57003) Full Text: DOI arXiv
Joshi, Sahil; Prabhakar, Madeti The Gordian complex of theta-curves. (English) Zbl 1486.57010 J. Knot Theory Ramifications 30, No. 8, Article ID 2150050, 11 p. (2021). Reviewer: Leonid Plachta (Kraków) MSC: 57K10 05C10 PDFBibTeX XMLCite \textit{S. Joshi} and \textit{M. Prabhakar}, J. Knot Theory Ramifications 30, No. 8, Article ID 2150050, 11 p. (2021; Zbl 1486.57010) Full Text: DOI
de los Angeles Guevara-Hernández, María; Kawauchi, Akio On alternating closed braids. (English) Zbl 1467.57002 J. Knot Theory Ramifications 30, No. 3, Article ID 2150017, 14 p. (2021). MSC: 57K10 PDFBibTeX XMLCite \textit{M. de los Angeles Guevara-Hernández} and \textit{A. Kawauchi}, J. Knot Theory Ramifications 30, No. 3, Article ID 2150017, 14 p. (2021; Zbl 1467.57002) Full Text: DOI
Shimizu, Ayaka Unknotting operations on knots and links*. (English) Zbl 1467.57007 J. Knot Theory Ramifications 30, No. 2, Article ID 2171001, 9 p. (2021). MSC: 57K10 PDFBibTeX XMLCite \textit{A. Shimizu}, J. Knot Theory Ramifications 30, No. 2, Article ID 2171001, 9 p. (2021; Zbl 1467.57007) Full Text: DOI
Allen, Samantha; Livingston, Charles Unknotting with a single twist. (English) Zbl 1486.57003 Enseign. Math. (2) 66, No. 3-4, 541-589 (2020). Reviewer: Masakazu Teragaito (Hiroshima) MSC: 57K10 PDFBibTeX XMLCite \textit{S. Allen} and \textit{C. Livingston}, Enseign. Math. (2) 66, No. 3--4, 541--589 (2020; Zbl 1486.57003) Full Text: DOI arXiv
Akimoto, Yuta; Taniyama, Kouki Unknotting numbers and crossing numbers of spatial embeddings of a planar graph. (English) Zbl 1459.57003 J. Knot Theory Ramifications 29, No. 14, Article ID 2050095, 13 p. (2020). MSC: 57K10 05C10 PDFBibTeX XMLCite \textit{Y. Akimoto} and \textit{K. Taniyama}, J. Knot Theory Ramifications 29, No. 14, Article ID 2050095, 13 p. (2020; Zbl 1459.57003) Full Text: DOI arXiv
Juhász, András; Miller, Maggie; Zemke, Ian Knot cobordisms, bridge index, and torsion in Floer homology. (English) Zbl 1477.57015 J. Topol. 13, No. 4, 1701-1724 (2020). Reviewer: Carlo Collari (Abu Dhabi) MSC: 57K18 57R58 57R70 57R40 PDFBibTeX XMLCite \textit{A. Juhász} et al., J. Topol. 13, No. 4, 1701--1724 (2020; Zbl 1477.57015) Full Text: DOI arXiv
Alishahi, Akram; Eftekhary, Eaman Knot Floer homology and the unknotting number. (English) Zbl 1464.57018 Geom. Topol. 24, No. 5, 2435-2469 (2020). MSC: 57K18 57K10 PDFBibTeX XMLCite \textit{A. Alishahi} and \textit{E. Eftekhary}, Geom. Topol. 24, No. 5, 2435--2469 (2020; Zbl 1464.57018) Full Text: DOI arXiv
Kerian, A. Raising crosscap number while lowering unknotting number. (English) Zbl 1443.57003 J. Knot Theory Ramifications 29, No. 5, Article ID 2050030, 8 p. (2020). MSC: 57K10 PDFBibTeX XMLCite \textit{A. Kerian}, J. Knot Theory Ramifications 29, No. 5, Article ID 2050030, 8 p. (2020; Zbl 1443.57003) Full Text: DOI
Goodhill, Sarah; Lowrance, Adam M.; Gonzales, Valeria Munoz; Rattray, Jessica; Zeh, Amelia The multi-region index of a knot. (English) Zbl 1439.57012 J. Knot Theory Ramifications 29, No. 4, Article ID 2050022, 16 p. (2020). MSC: 57K10 PDFBibTeX XMLCite \textit{S. Goodhill} et al., J. Knot Theory Ramifications 29, No. 4, Article ID 2050022, 16 p. (2020; Zbl 1439.57012) Full Text: DOI arXiv
Livingston, Charles Signature invariants related to the unknotting number. (English) Zbl 1436.57010 Pac. J. Math. 305, No. 1, 229-250 (2020). Reviewer: Anthony Conway (Genève) MSC: 57K10 PDFBibTeX XMLCite \textit{C. Livingston}, Pac. J. Math. 305, No. 1, 229--250 (2020; Zbl 1436.57010) Full Text: DOI arXiv
Alishahi, Akram Unknotting number and Khovanov homology. (English) Zbl 1439.57001 Pac. J. Math. 301, No. 1, 15-29 (2019). MSC: 57K10 57K18 PDFBibTeX XMLCite \textit{A. Alishahi}, Pac. J. Math. 301, No. 1, 15--29 (2019; Zbl 1439.57001) Full Text: DOI arXiv
Girão, Darlan; Nogueira, João Miguel; Salgueiro, António On links minimizing the tunnel number. (English) Zbl 1445.57002 J. Knot Theory Ramifications 28, No. 13, Article ID 1940014, 11 p. (2019). Reviewer: Dieter Erle (Dortmund) MSC: 57K10 57M15 57M05 57K20 57K31 PDFBibTeX XMLCite \textit{D. Girão} et al., J. Knot Theory Ramifications 28, No. 13, Article ID 1940014, 11 p. (2019; Zbl 1445.57002) Full Text: DOI arXiv
McDonald, Clayton Band number and the double slice genus. (English) Zbl 1431.57008 New York J. Math. 25, 964-974 (2019). Reviewer: Dieter Erle (Dortmund) MSC: 57K10 57K45 57M12 57N37 PDFBibTeX XMLCite \textit{C. McDonald}, New York J. Math. 25, 964--974 (2019; Zbl 1431.57008) Full Text: arXiv Link
Bettersworth, Zac; Ernst, Claus Incoherent nullification of torus knots and links. (English) Zbl 1422.57011 J. Knot Theory Ramifications 28, No. 5, Article ID 1950033, 23 p. (2019). Reviewer: Kenneth A. Perko Jr. (New York) MSC: 57M25 92E99 PDFBibTeX XMLCite \textit{Z. Bettersworth} and \textit{C. Ernst}, J. Knot Theory Ramifications 28, No. 5, Article ID 1950033, 23 p. (2019; Zbl 1422.57011) Full Text: DOI
Chen, Jie Algebraic Gordian distance. (English) Zbl 1428.57002 J. Knot Theory Ramifications 28, No. 4, Article ID 1950024, 13 p. (2019). Reviewer: Delphine Moussard (Kyoto) MSC: 57K10 PDFBibTeX XMLCite \textit{J. Chen}, J. Knot Theory Ramifications 28, No. 4, Article ID 1950024, 13 p. (2019; Zbl 1428.57002) Full Text: DOI arXiv
Alishahi, Akram; Dowlin, Nathan The Lee spectral sequence, unknotting number, and the knight move conjecture. (English) Zbl 1406.57002 Topology Appl. 254, 29-38 (2019). Reviewer: Kenneth A. Perko Jr. (New York) MSC: 57M25 57M27 PDFBibTeX XMLCite \textit{A. Alishahi} and \textit{N. Dowlin}, Topology Appl. 254, 29--38 (2019; Zbl 1406.57002) Full Text: DOI arXiv
Ernst, Claus; Pham, Van Loop numbers of knots. (English) Zbl 1405.57013 J. Knot Theory Ramifications 27, No. 14, Article ID 1850075, 26 p. (2018). Reviewer: Kenneth A. Perko Jr. (New York) MSC: 57M25 PDFBibTeX XMLCite \textit{C. Ernst} and \textit{V. Pham}, J. Knot Theory Ramifications 27, No. 14, Article ID 1850075, 26 p. (2018; Zbl 1405.57013) Full Text: DOI
Ito, Noboru; Takimura, Yusuke Crosscap number and knot projections. (English) Zbl 1420.57022 Int. J. Math. 29, No. 12, Article ID 1850084, 21 p. (2018). Reviewer: Dieter Erle (Dortmund) MSC: 57M25 57M27 PDFBibTeX XMLCite \textit{N. Ito} and \textit{Y. Takimura}, Int. J. Math. 29, No. 12, Article ID 1850084, 21 p. (2018; Zbl 1420.57022) Full Text: DOI arXiv
Feller, Peter; Lewark, Lukas On classical upper bounds for slice genera. (English) Zbl 1404.57008 Sel. Math., New Ser. 24, No. 5, 4885-4916 (2018). Reviewer: Khlaed Qazaqzeh (Irbed) MSC: 57M25 57M27 PDFBibTeX XMLCite \textit{P. Feller} and \textit{L. Lewark}, Sel. Math., New Ser. 24, No. 5, 4885--4916 (2018; Zbl 1404.57008) Full Text: DOI arXiv
Audoux, Benjamin; Bellingeri, Paolo; Meilhan, Jean-Baptiste; Wagner, Emmanuel Extensions of some classical local moves on knot diagrams. (English) Zbl 1406.57003 Mich. Math. J. 67, No. 3, 647-672 (2018). Reviewer: Celeste Damiani (Leeds) MSC: 57M25 57Q45 57M27 20F36 PDFBibTeX XMLCite \textit{B. Audoux} et al., Mich. Math. J. 67, No. 3, 647--672 (2018; Zbl 1406.57003) Full Text: DOI arXiv Euclid HAL
Ogasa, Eiji The “unknotting number” associated with other local moves than the crossing-change. (English) Zbl 1401.57036 J. Knot Theory Ramifications 27, No. 10, Article ID 1850051, 43 p. (2018). Reviewer: Inasa Nakamura (Kanazawa) MSC: 57Q45 57M25 PDFBibTeX XMLCite \textit{E. Ogasa}, J. Knot Theory Ramifications 27, No. 10, Article ID 1850051, 43 p. (2018; Zbl 1401.57036) Full Text: DOI
Livingston, Charles Signature functions of knots. (English) Zbl 1404.57027 Proc. Am. Math. Soc. 146, No. 10, 4513-4520 (2018). Reviewer: Dieter Erle (Dortmund) MSC: 57M27 57M25 57Q60 57N70 12E05 11E39 PDFBibTeX XMLCite \textit{C. Livingston}, Proc. Am. Math. Soc. 146, No. 10, 4513--4520 (2018; Zbl 1404.57027) Full Text: DOI arXiv
Khan, Noureen A. On extended invariants of virtual pseudo prime knots. (English) Zbl 1387.57011 JP J. Geom. Topol. 20, No. 3, 273-293 (2017). MSC: 57M25 57M27 PDFBibTeX XMLCite \textit{N. A. Khan}, JP J. Geom. Topol. 20, No. 3, 273--293 (2017; Zbl 1387.57011) Full Text: DOI
Siwach, Vikash; Prabhakar, Madeti On minimal unknotting crossing data for closed toric braids. (English) Zbl 1386.57014 Kyungpook Math. J. 57, No. 2, 331-360 (2017). MSC: 57M25 PDFBibTeX XMLCite \textit{V. Siwach} and \textit{M. Prabhakar}, Kyungpook Math. J. 57, No. 2, 331--360 (2017; Zbl 1386.57014) Full Text: DOI
Ishikawa, Masaharu; Yanagi, Hirokazu Virtual unknotting numbers of certain virtual torus knots. (English) Zbl 1387.57010 J. Knot Theory Ramifications 26, No. 11, Article ID 1750070, 16 p. (2017). MSC: 57M25 57M27 PDFBibTeX XMLCite \textit{M. Ishikawa} and \textit{H. Yanagi}, J. Knot Theory Ramifications 26, No. 11, Article ID 1750070, 16 p. (2017; Zbl 1387.57010) Full Text: DOI arXiv
Kaur, K.; Kamada, S.; Kawauchi, A.; Prabhakar, M. Gauss diagrams, unknotting numbers and trivializing numbers of spatial graphs. (English) Zbl 1412.57001 Topology Appl. 230, 586-598 (2017). Reviewer: Brenda Johnson (Schenectady) MSC: 57M15 05C99 PDFBibTeX XMLCite \textit{K. Kaur} et al., Topology Appl. 230, 586--598 (2017; Zbl 1412.57001) Full Text: DOI
Ince, Kenan Untwisting information from Heegaard Floer homology. (English) Zbl 1380.57004 Algebr. Geom. Topol. 17, No. 4, 2283-2306 (2017). Reviewer: Keiji Tagami (Chiba) MSC: 57M25 57M27 PDFBibTeX XMLCite \textit{K. Ince}, Algebr. Geom. Topol. 17, No. 4, 2283--2306 (2017; Zbl 1380.57004) Full Text: DOI arXiv
Li, Zhiguo; Lei, Fengchun; Wu, Jie On the unknotting number of a welded knot. (English) Zbl 1385.57012 J. Knot Theory Ramifications 26, No. 1, Article ID 1750004, 22 p. (2017). Reviewer: Lorena Armas-Sanabria (México D. F.) MSC: 57M25 57M27 PDFBibTeX XMLCite \textit{Z. Li} et al., J. Knot Theory Ramifications 26, No. 1, Article ID 1750004, 22 p. (2017; Zbl 1385.57012) Full Text: DOI
Tanaka, Toshifumi The region index and the unknotting number of a knot. (English) Zbl 1372.57022 Topology Appl. 219, 141-151 (2017). Reviewer: Leonid Plachta (Kraków) MSC: 57M25 57M27 PDFBibTeX XMLCite \textit{T. Tanaka}, Topology Appl. 219, 141--151 (2017; Zbl 1372.57022) Full Text: DOI
McCoy, Duncan Alternating knots with unknotting number one. (English) Zbl 1353.57013 Adv. Math. 305, 757-802 (2017). Reviewer: Lee P. Neuwirth (Princeton) MSC: 57M25 57M27 57M12 57M15 52C07 PDFBibTeX XMLCite \textit{D. McCoy}, Adv. Math. 305, 757--802 (2017; Zbl 1353.57013) Full Text: DOI arXiv
Owens, Brendan; Strle, Sašo Immersed disks, slicing numbers and concordance unknotting numbers. (English) Zbl 1372.57020 Commun. Anal. Geom. 24, No. 5, 1107-1138 (2016). Reviewer: Masakazu Teragaito (Hiroshima) MSC: 57M25 57Q45 PDFBibTeX XMLCite \textit{B. Owens} and \textit{S. Strle}, Commun. Anal. Geom. 24, No. 5, 1107--1138 (2016; Zbl 1372.57020) Full Text: DOI arXiv
Vikash, S.; Madeti, P. On Arf invariant and trivializing number. (English) Zbl 1354.57019 Gongopadhyay, Krishnendu (ed.) et al., Knot theory and its applications. ICTS program knot theory and its applications (KTH-2013), IISER Mohali, India, December 10–20, 2013. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2257-8/pbk; 978-1-4704-3526-4/ebook). Contemporary Mathematics 670, 345-357 (2016). MSC: 57M25 57M27 PDFBibTeX XMLCite \textit{S. Vikash} and \textit{P. Madeti}, Contemp. Math. 670, 345--357 (2016; Zbl 1354.57019) Full Text: DOI
Kawauchi, Akio Knot theory for spatial graphs attached to a surface. (English) Zbl 1354.57010 Gongopadhyay, Krishnendu (ed.) et al., Knot theory and its applications. ICTS program knot theory and its applications (KTH-2013), IISER Mohali, India, December 10–20, 2013. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2257-8/pbk; 978-1-4704-3526-4/ebook). Contemporary Mathematics 670, 141-169 (2016). MSC: 57M15 57M25 57M10 57M27 PDFBibTeX XMLCite \textit{A. Kawauchi}, Contemp. Math. 670, 141--169 (2016; Zbl 1354.57010) Full Text: DOI
Kanenobu, Taizo Band surgery on knots and links. III. (English) Zbl 1350.57009 J. Knot Theory Ramifications 25, No. 10, Article ID 1650056, 12 p. (2016). MSC: 57M25 57M27 PDFBibTeX XMLCite \textit{T. Kanenobu}, J. Knot Theory Ramifications 25, No. 10, Article ID 1650056, 12 p. (2016; Zbl 1350.57009) Full Text: DOI
Zeković, Ana; Jablan, Slavik; Kauffman, Louis; Sazdanovic, Radmila; Stošić, Marko Unknotting and maximum unknotting numbers. (English) Zbl 1351.57015 J. Knot Theory Ramifications 25, No. 9, Article ID 1641010, 43 p. (2016). Reviewer: Kenneth A. Perko jun. (New York) MSC: 57M25 57M27 PDFBibTeX XMLCite \textit{A. Zeković} et al., J. Knot Theory Ramifications 25, No. 9, Article ID 1641010, 43 p. (2016; Zbl 1351.57015) Full Text: DOI
Ernst, Claus; Montemayor, Anthony Nullification numbers of knots with up to 10 crossings. (English) Zbl 1350.57006 J. Knot Theory Ramifications 25, No. 7, Article ID 1650037, 20 p. (2016). Reviewer: Dieter Erle (Dortmund) MSC: 57M25 57M27 92C40 PDFBibTeX XMLCite \textit{C. Ernst} and \textit{A. Montemayor}, J. Knot Theory Ramifications 25, No. 7, Article ID 1650037, 20 p. (2016; Zbl 1350.57006) Full Text: DOI
Ince, Kenan The untwisting number of a knot. (English) Zbl 1345.57012 Pac. J. Math. 283, No. 1, 139-156 (2016). Reviewer: Jessica Banks (Hull) MSC: 57M25 57M27 PDFBibTeX XMLCite \textit{K. Ince}, Pac. J. Math. 283, No. 1, 139--156 (2016; Zbl 1345.57012) Full Text: DOI arXiv
Koda, Yuya; Ozawa, Makoto Knot homotopy in subspaces of the 3-sphere. (English) Zbl 1336.57011 Pac. J. Math. 282, No. 2, 389-414 (2016). Reviewer: Lee P. Neuwirth (Princeton) MSC: 57M25 57M27 57N10 57Q35 PDFBibTeX XMLCite \textit{Y. Koda} and \textit{M. Ozawa}, Pac. J. Math. 282, No. 2, 389--414 (2016; Zbl 1336.57011) Full Text: DOI arXiv
Crowe, Donald; Darvas, György; Huylebrouck, Dirk; Kappraff, Jay; Kauffman, Louis; Lambropoulou, Sofia; Przytycki, Jozef; Radović, Ljiljana; Sazdanovic, Radmila; De Spinadel, Vera W.; Zeković, Ana In memoriam: Slavik Jablan 1952–2015. (English) Zbl 1372.01030 Symmetry 7, No. 3, 1261-1274 (2015). MSC: 01A70 PDFBibTeX XMLCite \textit{D. Crowe} et al., Symmetry 7, No. 3, 1261--1274 (2015; Zbl 1372.01030) Full Text: DOI OA License
Zeković, Ana Computation of Gordian distances and \(H_2\)-Gordian distances of knots. (English) Zbl 1437.57014 Yugosl. J. Oper. Res. 25, No. 1, 133-152 (2015). MSC: 57K10 57Z10 92D20 PDFBibTeX XMLCite \textit{A. Zeković}, Yugosl. J. Oper. Res. 25, No. 1, 133--152 (2015; Zbl 1437.57014) Full Text: DOI
Morimoto, Kanji On Heegaard splittings of knot exteriors with tunnel number degenerations. (English) Zbl 1342.57009 Topology Appl. 196, Part B, 719-728 (2015). Reviewer: Mario Eudave-Muñoz (México D. F.) MSC: 57M25 57M27 PDFBibTeX XMLCite \textit{K. Morimoto}, Topology Appl. 196, Part B, 719--728 (2015; Zbl 1342.57009) Full Text: DOI arXiv
Siwach, V.; Madeti, P. An unknotting sequence for torus knots. (English) Zbl 1330.57015 Topology Appl. 196, Part B, 668-674 (2015). MSC: 57M25 PDFBibTeX XMLCite \textit{V. Siwach} and \textit{P. Madeti}, Topology Appl. 196, Part B, 668--674 (2015; Zbl 1330.57015) Full Text: DOI arXiv
Siwach, V.; Madeti, P. Region unknotting number of 2-bridge knots. (English) Zbl 1327.57012 J. Knot Theory Ramifications 24, No. 11, Article ID 1550053, 20 p. (2015). MSC: 57M25 57M27 PDFBibTeX XMLCite \textit{V. Siwach} and \textit{P. Madeti}, J. Knot Theory Ramifications 24, No. 11, Article ID 1550053, 20 p. (2015; Zbl 1327.57012) Full Text: DOI arXiv
Kanenobu, Taizo; Matsumura, Satoshi Lower bound of the unknotting number of prime knots with up to 12 crossings. (English) Zbl 1337.57026 J. Knot Theory Ramifications 24, No. 10, Article ID 1540012, 9 p. (2015). MSC: 57M25 57M27 PDFBibTeX XMLCite \textit{T. Kanenobu} and \textit{S. Matsumura}, J. Knot Theory Ramifications 24, No. 10, Article ID 1540012, 9 p. (2015; Zbl 1337.57026) Full Text: DOI
McCoy, Duncan Non-integer surgery and branched double covers of alternating knots. (English) Zbl 1335.57024 J. Lond. Math. Soc., II. Ser. 92, No. 2, 311-337 (2015). Reviewer: Chuichiro Hayashi (Tokyo) MSC: 57M27 57M25 PDFBibTeX XMLCite \textit{D. McCoy}, J. Lond. Math. Soc., II. Ser. 92, No. 2, 311--337 (2015; Zbl 1335.57024) Full Text: DOI arXiv
Hanaki, Ryo On scannable properties of the original knot from a knot shadow. (English) Zbl 1337.57018 Topology Appl. 194, 296-305 (2015). MSC: 57M25 PDFBibTeX XMLCite \textit{R. Hanaki}, Topology Appl. 194, 296--305 (2015; Zbl 1337.57018) Full Text: DOI
Brockway, Seph Shewell Computing the unknotting numbers of certain pretzel knots. (English) Zbl 1327.57007 Topology Appl. 194, 118-124 (2015). Reviewer: Jennifer R. Bowen (Wooster) MSC: 57M25 PDFBibTeX XMLCite \textit{S. S. Brockway}, Topology Appl. 194, 118--124 (2015; Zbl 1327.57007) Full Text: DOI arXiv
Adams, Colin; Capovilla-Searle, Orsola; Freeman, Jesse; Irvine, Daniel; Petti, Samantha; Vitek, Daniel; Weber, Ashley; Zhang, Sicong Bounds on übercrossing and petal numbers for knots. (English) Zbl 1316.57011 J. Knot Theory Ramifications 24, No. 2, Article ID 1550012, 16 p. (2015). Reviewer: Jessica Banks (Hull) MSC: 57M27 PDFBibTeX XMLCite \textit{C. Adams} et al., J. Knot Theory Ramifications 24, No. 2, Article ID 1550012, 16 p. (2015; Zbl 1316.57011) Full Text: DOI arXiv
Borodzik, Maciej; Friedl, Stefan The unknotting number and classical invariants. I. (English) Zbl 1318.57009 Algebr. Geom. Topol. 15, No. 1, 85-135 (2015). Reviewer: James Hebda (St. Louis) MSC: 57M27 57M25 PDFBibTeX XMLCite \textit{M. Borodzik} and \textit{S. Friedl}, Algebr. Geom. Topol. 15, No. 1, 85--135 (2015; Zbl 1318.57009) Full Text: DOI arXiv
Jablan, Slavik; Radović, Ljiljana Unknotting numbers of alternating knot and link families. (English) Zbl 1437.57007 Publ. Inst. Math., Nouv. Sér. 95(109), 87-99 (2014). MSC: 57K10 PDFBibTeX XMLCite \textit{S. Jablan} and \textit{L. Radović}, Publ. Inst. Math., Nouv. Sér. 95(109), 87--99 (2014; Zbl 1437.57007) Full Text: DOI
Abe, Tetsuya; Kanenobu, Taizo Unoriented band surgery on knots and links. (English) Zbl 1358.57010 Kobe J. Math. 31, No. 1-2, 21-44 (2014). Reviewer: Peter Feller (Chestnut Hill) MSC: 57M25 57M27 PDFBibTeX XMLCite \textit{T. Abe} and \textit{T. Kanenobu}, Kobe J. Math. 31, No. 1--2, 21--44 (2014; Zbl 1358.57010) Full Text: arXiv
Bao, Yuanyuan On knots having zero negative unknotting number. (English) Zbl 1318.57008 Indiana Univ. Math. J. 63, No. 2, 597-613 (2014). Reviewer: Michael C. Tsau (St. Louis) MSC: 57M27 57M25 PDFBibTeX XMLCite \textit{Y. Bao}, Indiana Univ. Math. J. 63, No. 2, 597--613 (2014; Zbl 1318.57008) Full Text: DOI arXiv Link
Ma, Jiaji Unknotting numbers of some knots in 11n class. (Chinese. English summary) Zbl 1313.57003 Adv. Math., Beijing 43, No. 4, 599-602 (2014). MSC: 57M25 PDFBibTeX XMLCite \textit{J. Ma}, Adv. Math., Beijing 43, No. 4, 599--602 (2014; Zbl 1313.57003)
Borodzik, Maciej; Friedl, Stefan On the algebraic unknotting number. (English) Zbl 1322.57010 Trans. Lond. Math. Soc. 1, No. 1, 57-84 (2014). Reviewer: Dieter Erle (Dortmund) MSC: 57M27 57M25 11E39 PDFBibTeX XMLCite \textit{M. Borodzik} and \textit{S. Friedl}, Trans. Lond. Math. Soc. 1, No. 1, 57--84 (2014; Zbl 1322.57010) Full Text: DOI arXiv OA License
Eudave-Muñoz, Mario; Ozawa, Makoto Composite tunnel number one genus two handlebody-knots. (English) Zbl 1419.57013 Bol. Soc. Mat. Mex., III. Ser. 20, No. 2, 375-390 (2014). MSC: 57M25 PDFBibTeX XMLCite \textit{M. Eudave-Muñoz} and \textit{M. Ozawa}, Bol. Soc. Mat. Mex., III. Ser. 20, No. 2, 375--390 (2014; Zbl 1419.57013) Full Text: DOI arXiv
Mishra, Rama Polynomial unknotting and singularity index. (English) Zbl 1348.57014 Kyungpook Math. J. 54, No. 2, 271-292 (2014). MSC: 57M25 14P25 PDFBibTeX XMLCite \textit{R. Mishra}, Kyungpook Math. J. 54, No. 2, 271--292 (2014; Zbl 1348.57014) Full Text: DOI
Shimizu, Ayaka Region crossing change is an unknotting operation. (English) Zbl 1297.57021 J. Math. Soc. Japan 66, No. 3, 693-708 (2014). MSC: 57M25 57M27 PDFBibTeX XMLCite \textit{A. Shimizu}, J. Math. Soc. Japan 66, No. 3, 693--708 (2014; Zbl 1297.57021) Full Text: DOI arXiv Euclid
Borodzik, Maciej; Friedl, Stefan The unknotting number and classical invariants. II. (English) Zbl 1300.57008 Glasg. Math. J. 56, No. 3, 657-680 (2014). Reviewer: Jonathan A. Hillman (Sydney) MSC: 57M25 PDFBibTeX XMLCite \textit{M. Borodzik} and \textit{S. Friedl}, Glasg. Math. J. 56, No. 3, 657--680 (2014; Zbl 1300.57008) Full Text: DOI arXiv
Hanaki, Ryo Trivializing number of knots. (English) Zbl 1292.57004 J. Math. Soc. Japan 66, No. 2, 435-447 (2014). MSC: 57M25 57Q45 57M27 PDFBibTeX XMLCite \textit{R. Hanaki}, J. Math. Soc. Japan 66, No. 2, 435--447 (2014; Zbl 1292.57004) Full Text: DOI Euclid
Greene, Joshua Evan Donaldson’s theorem, Heegaard Floer homology, and knots with unknotting number one. (English) Zbl 1351.57018 Adv. Math. 255, 672-705 (2014). Reviewer: Brendan Owens (Glasgow) MSC: 57M27 PDFBibTeX XMLCite \textit{J. E. Greene}, Adv. Math. 255, 672--705 (2014; Zbl 1351.57018) Full Text: DOI
Burton, Stephan D.; Purcell, Jessica S. Geodesic systems of tunnels in hyperbolic 3-manifolds. (English) Zbl 1286.57014 Algebr. Geom. Topol. 14, No. 2, 925-952 (2014). Reviewer: Bruno Zimmermann (Trieste) MSC: 57M50 57M25 30F40 PDFBibTeX XMLCite \textit{S. D. Burton} and \textit{J. S. Purcell}, Algebr. Geom. Topol. 14, No. 2, 925--952 (2014; Zbl 1286.57014) Full Text: DOI arXiv
Feller, Peter Gordian adjacency for torus knots. (English) Zbl 1288.57011 Algebr. Geom. Topol. 14, No. 2, 769-793 (2014). Reviewer: Jessica Banks (Oxford) MSC: 57M27 14B07 PDFBibTeX XMLCite \textit{P. Feller}, Algebr. Geom. Topol. 14, No. 2, 769--793 (2014; Zbl 1288.57011) Full Text: DOI arXiv
Boranda, Bianca; Traynor, Lisa; Yan, Shuning The surgery unknotting number of Legendrian links. (English) Zbl 1408.57013 Involve 6, No. 3, 273-299 (2013). MSC: 57M27 53D35 57R17 PDFBibTeX XMLCite \textit{B. Boranda} et al., Involve 6, No. 3, 273--299 (2013; Zbl 1408.57013) Full Text: DOI arXiv
Lee, Eon-Kyung; Lee, Sang-Jin Unknotting number and genus of 3-braid knots. (English) Zbl 1280.57005 J. Knot Theory Ramifications 22, No. 9, Article ID 1350047, 18 p. (2013). Reviewer: Arunima Ray (Houston) MSC: 57M25 57M27 PDFBibTeX XMLCite \textit{E.-K. Lee} and \textit{S.-J. Lee}, J. Knot Theory Ramifications 22, No. 9, Article ID 1350047, 18 p. (2013; Zbl 1280.57005) Full Text: DOI arXiv
Abe, Tetsuya; Jong, In Dae; Omae, Yuka; Takeuchi, Masanori Annulus twist and diffeomorphic 4-manifolds. (English) Zbl 1290.57004 Math. Proc. Camb. Philos. Soc. 155, No. 2, 219-235 (2013). Reviewer: Claus Ernst (Bowling Green) MSC: 57M25 57N13 PDFBibTeX XMLCite \textit{T. Abe} et al., Math. Proc. Camb. Philos. Soc. 155, No. 2, 219--235 (2013; Zbl 1290.57004) Full Text: DOI arXiv
Buck, Dorothy; Gibbons, Julian; Staron, Eric Pretzel knots with unknotting number one. (English) Zbl 1275.57005 Commun. Anal. Geom. 21, No. 2, 365-408 (2013). Reviewer: Jessica Banks (Oxford) MSC: 57M25 57M27 PDFBibTeX XMLCite \textit{D. Buck} et al., Commun. Anal. Geom. 21, No. 2, 365--408 (2013; Zbl 1275.57005) Full Text: DOI arXiv
Vikash, Siwach; Prabhakar, Madeti A sharp upper bound for region unknotting number of torus knots. (English) Zbl 1270.57034 J. Knot Theory Ramifications 22, No. 5, ID 1350019, 21 p. (2013). MSC: 57M25 57M27 PDFBibTeX XMLCite \textit{S. Vikash} and \textit{M. Prabhakar}, J. Knot Theory Ramifications 22, No. 5, ID 1350019, 21 p. (2013; Zbl 1270.57034) Full Text: DOI arXiv
Nakamura, Inasa Unknotting numbers and triple point cancelling numbers of torus-covering knots. (English) Zbl 1310.57039 J. Knot Theory Ramifications 22, No. 3, 1350010, 28 p. (2013). Reviewer: Riccardo Piergallini (Camerino) MSC: 57Q45 57Q35 PDFBibTeX XMLCite \textit{I. Nakamura}, J. Knot Theory Ramifications 22, No. 3, 1350010, 28 p. (2013; Zbl 1310.57039) Full Text: DOI arXiv
Sakurai, Migiwa An estimate of the unknotting numbers for virtual knots by forbidden moves. (English) Zbl 1271.57028 J. Knot Theory Ramifications 22, No. 3, 1350009, 10 p. (2013). MSC: 57M25 PDFBibTeX XMLCite \textit{M. Sakurai}, J. Knot Theory Ramifications 22, No. 3, 1350009, 10 p. (2013; Zbl 1271.57028) Full Text: DOI
Abe, Tetsuya; Hanaki, Ryo; Higa, Ryuji The unknotting number and band-unknotting number of a knot. (English) Zbl 1255.57002 Osaka J. Math. 49, No. 2, 523-550 (2012). Reviewer: Chuichiro Hayashi (Tokyo) MSC: 57M25 57M15 PDFBibTeX XMLCite \textit{T. Abe} et al., Osaka J. Math. 49, No. 2, 523--550 (2012; Zbl 1255.57002) Full Text: Euclid
Jablan, S. V.; Sazdanović, R. Diagrammatic knot properties and invariants. (English) Zbl 1256.57008 Kauffman, Louis H. (ed.) et al., Introductory lectures on knot theory. Selected lectures presented at the advanced school and conference on knot theory and its applications to physics and biology, ICTP, Trieste, Italy, May 11–29, 2009. Hackensack, NJ: World Scientific; Trieste: ICTP - The Abdus Salam International Centre for Theoretical Physics (ISBN 978-981-4307-99-4/hbk; 978-981-4313-00-1/ebook). Series on Knots and Everything 46, 162-186 (2012). MSC: 57M25 PDFBibTeX XMLCite \textit{S. V. Jablan} and \textit{R. Sazdanović}, Ser. Knots Everything 46, 162--186 (2012; Zbl 1256.57008) Full Text: Link
Bao, Yuanyuan \(H(2)\)-unknotting operation related to 2-bridge links. (English) Zbl 1239.57027 Topology Appl. 159, No. 8, 2158-2167 (2012). MSC: 57M27 57M25 PDFBibTeX XMLCite \textit{Y. Bao}, Topology Appl. 159, No. 8, 2158--2167 (2012; Zbl 1239.57027) Full Text: DOI arXiv
Jang, Hee Jeong; Lee, Sang Youl; Seo, Myoungsoo On the \(\Delta \)-unknotting number of Whitehead doubles of knots. (English) Zbl 1237.57005 J. Knot Theory Ramifications 21, No. 2, Article ID 1250021, 23 p. (2012). Reviewer: Jessica Banks (Oxford) MSC: 57M25 PDFBibTeX XMLCite \textit{H. J. Jang} et al., J. Knot Theory Ramifications 21, No. 2, Article ID 1250021, 23 p. (2012; Zbl 1237.57005) Full Text: DOI
Hayashi, Chuichiro; Hayashi, Miwa; Nowik, Tahl Unknotting number and number of Reidemeister moves needed for unlinking. (English) Zbl 1260.57011 Topology Appl. 159, No. 5, 1467-1474 (2012). Reviewer: Masako Kobayashi (Osaka) MSC: 57M25 PDFBibTeX XMLCite \textit{C. Hayashi} et al., Topology Appl. 159, No. 5, 1467--1474 (2012; Zbl 1260.57011) Full Text: DOI arXiv
Kawauchi, Akio On transforming a spatial graph into a plane graph. (English) Zbl 1411.57015 Prog. Theor. Phys., Suppl. 191, 225-234 (2011). MSC: 57M25 57M15 05C10 PDFBibTeX XMLCite \textit{A. Kawauchi}, Prog. Theor. Phys., Suppl. 191, 225--234 (2011; Zbl 1411.57015) Full Text: DOI
Kanenobu, Taizo \(H(2)\)-Gordian distance of knots. (English) Zbl 1230.57007 J. Knot Theory Ramifications 20, No. 6, 813-835 (2011). Reviewer: Lorena Armas-Sanabria (Mexico) MSC: 57M25 57M27 PDFBibTeX XMLCite \textit{T. Kanenobu}, J. Knot Theory Ramifications 20, No. 6, 813--835 (2011; Zbl 1230.57007) Full Text: DOI
Lee, Jung Hoon Twisted torus knots \(T(p, q; 3, s)\) are tunnel number one. (English) Zbl 1219.57012 J. Knot Theory Ramifications 20, No. 6, 807-811 (2011). MSC: 57M25 57M27 PDFBibTeX XMLCite \textit{J. H. Lee}, J. Knot Theory Ramifications 20, No. 6, 807--811 (2011; Zbl 1219.57012) Full Text: DOI arXiv
Henrich, A.; MacNaughton, N.; Narayan, S.; Pechenik, O.; Townsend, J. Classical and virtual pseudodiagram theory and new bounds on unknotting numbers and genus. (English) Zbl 1250.57009 J. Knot Theory Ramifications 20, No. 4, 625-650 (2011). Reviewer: Youngsik Huh (Seoul) MSC: 57M25 PDFBibTeX XMLCite \textit{A. Henrich} et al., J. Knot Theory Ramifications 20, No. 4, 625--650 (2011; Zbl 1250.57009) Full Text: DOI arXiv
Koda, Yuya Tunnel complexes of 3-manifolds. (English) Zbl 1216.57004 Algebr. Geom. Topol. 11, No. 1, 417-447 (2011). Reviewer: Michael C. Tsau (St. Louis) MSC: 57M25 57M15 57M27 PDFBibTeX XMLCite \textit{Y. Koda}, Algebr. Geom. Topol. 11, No. 1, 417--447 (2011; Zbl 1216.57004) Full Text: DOI
Kadokami, Teruhisa; Yasuhara, Akira An estimation of the \(C_k\)-unknotting number for a \(C_k\)-trivial link. (English) Zbl 1225.57008 Kobe J. Math. 27, No. 1-2, 35-46 (2010). Reviewer: Shigeaki Miyoshi (Tokyo) MSC: 57M25 57M27 PDFBibTeX XMLCite \textit{T. Kadokami} and \textit{A. Yasuhara}, Kobe J. Math. 27, No. 1--2, 35--46 (2010; Zbl 1225.57008)
Kadokami, Teruhisa; Yang, Zhiqing An integral invariant from the knot group. (English) Zbl 1221.57005 Osaka J. Math. 47, No. 4, 965-976 (2010). Reviewer: Wolfgang Heil (Tallahassee) MSC: 57M25 57M05 57M27 PDFBibTeX XMLCite \textit{T. Kadokami} and \textit{Z. Yang}, Osaka J. Math. 47, No. 4, 965--976 (2010; Zbl 1221.57005) Full Text: Euclid
Hanaki, Ryo; Kanadome, Junsuke On an inequality between unknotting number and crossing number of links. (English) Zbl 1204.57003 J. Knot Theory Ramifications 19, No. 7, 893-903 (2010). Reviewer: Sangbum Cho (Riverside) MSC: 57M25 PDFBibTeX XMLCite \textit{R. Hanaki} and \textit{J. Kanadome}, J. Knot Theory Ramifications 19, No. 7, 893--903 (2010; Zbl 1204.57003) Full Text: DOI
Przytycki, Józef H.; Taniyama, Kouki Almost positive links have negative signature. (English) Zbl 1195.57019 J. Knot Theory Ramifications 19, No. 2, 187-289 (2010). Reviewer: Michael McLendon (Chestertown) MSC: 57M25 PDFBibTeX XMLCite \textit{J. H. Przytycki} and \textit{K. Taniyama}, J. Knot Theory Ramifications 19, No. 2, 187--289 (2010; Zbl 1195.57019) Full Text: DOI arXiv
Ozawa, Makoto Ascending number of knots and links. (English) Zbl 1184.57007 J. Knot Theory Ramifications 19, No. 1, 15-25 (2010). MSC: 57M25 PDFBibTeX XMLCite \textit{M. Ozawa}, J. Knot Theory Ramifications 19, No. 1, 15--25 (2010; Zbl 1184.57007) Full Text: DOI arXiv
Baader, Sebastian Unknotting sequences for torus knots. (English) Zbl 1181.57004 Math. Proc. Camb. Philos. Soc. 148, No. 1, 111-116 (2010). MSC: 57M25 PDFBibTeX XMLCite \textit{S. Baader}, Math. Proc. Camb. Philos. Soc. 148, No. 1, 111--116 (2010; Zbl 1181.57004) Full Text: DOI arXiv
Kanenobu, Taizo; Miyazawa, Yasuyuki \(H(2)\)-unknotting number of a knot. (English) Zbl 1212.57001 Commun. Math. Res. 25, No. 5, 433-460 (2009). MSC: 57M25 PDFBibTeX XMLCite \textit{T. Kanenobu} and \textit{Y. Miyazawa}, Commun. Math. Res. 25, No. 5, 433--460 (2009; Zbl 1212.57001)
Nakamura, Takuji Braidzel surfaces for fibered knots with given Alexander polynomials. (English) Zbl 1190.57006 Kobe J. Math. 26, No. 1-2, 17-28 (2009). MSC: 57M25 PDFBibTeX XMLCite \textit{T. Nakamura}, Kobe J. Math. 26, No. 1--2, 17--28 (2009; Zbl 1190.57006)
Kanenobu, Taizo Sharp-unknotting number of a torus knot. (English) Zbl 1190.57001 Kyungpook Math. J. 49, No. 3, 583-594 (2009). MSC: 57M25 PDFBibTeX XMLCite \textit{T. Kanenobu}, Kyungpook Math. J. 49, No. 3, 583--594 (2009; Zbl 1190.57001) Full Text: DOI
Prabhakar, Madeti A bound on the unknotting number. (English) Zbl 1176.57013 Int. J. Math. Anal., Ruse 3, No. 5-8, 339-345 (2009). MSC: 57M25 PDFBibTeX XMLCite \textit{M. Prabhakar}, Int. J. Math. Anal., Ruse 3, No. 5--8, 339--345 (2009; Zbl 1176.57013) Full Text: Link
Taniyama, Kouki Unknotting numbers of diagrams of a given nontrivial knot are unbounded. (English) Zbl 1180.57016 J. Knot Theory Ramifications 18, No. 8, 1049-1063 (2009). Reviewer: Chuichiro Hayashi (Tokyo) MSC: 57M25 PDFBibTeX XMLCite \textit{K. Taniyama}, J. Knot Theory Ramifications 18, No. 8, 1049--1063 (2009; Zbl 1180.57016) Full Text: DOI arXiv