{"id":33,"date":"2022-04-26T14:05:23","date_gmt":"2022-04-26T05:05:23","guid":{"rendered":"https:\/\/www-p.sci.ocha.ac.jp\/shimokawa-lab-test\/?page_id=33"},"modified":"2026-04-07T17:49:27","modified_gmt":"2026-04-07T08:49:27","slug":"publication","status":"publish","type":"page","link":"https:\/\/www-p.sci.ocha.ac.jp\/shimokawa-lab\/publication","title":{"rendered":"\u8ad6\u6587"},"content":{"rendered":"<p style=\"text-align: right\"><a href=\"https:\/\/scholar.google.com\/citations?hl=en&amp;user=1S8_E4sAAAAJ\" target=\"top\" rel=\"noopener\">Google Scholar (Koya Shimokawa)<\/a><\/p>\n<h3>Publications<\/h3>\n<ul>\n<li><b>49. The OU number and Reidemeister moves of type III for link diagrams<\/b><br \/>\nNaoki Sakata, Ayaka Shimizu, Koya Shimokawa,<br \/>\nsubmitted (2026)<br \/>\n(<a href=\"https:\/\/arxiv.org\/abs\/2602.16484\" target=\"top\" rel=\"noopener\">arXiv:2602.16484<\/a>)<\/li>\n<li><b>48. A mathematical approach to mechanical properties of networks in thermoplastic elastomers<\/b><br \/>\nKen\u2019ichi Yoshida, Naoki Sakata, and Koya Shimokawa,<br \/>\npreprint (2023).<br \/>\n(<a href=\"https:\/\/arxiv.org\/abs\/2310.14962\" target=\"top\" rel=\"noopener\">arXiv:2310.14962<\/a>)<\/li>\n<li><b>47. Signature and crossing number of links<\/b><br \/>\nKai Ishihara, Kei Okada, and Koya Shimokawa,<br \/>\n<a href=\"https:\/\/www.worldscientific.com\/doi\/10.1142\/S0218216526500240\" target=\"top\" rel=\"noopener\">J. Knot Theory Ramifications (2026) 2650024 (16 pages)<\/a>.<br \/>\n(<a href=\"https:\/\/arxiv.org\/abs\/2410.00445\" target=\"top\" rel=\"noopener\">arXiv:2410.00445<\/a>)<\/li>\n<li><b>46. Entanglement statistics of polymers in a lattice tube and unknotting of 4-plats<\/b><br \/>\nNicholas R. Beaton, Kai Ishihara, Mahshid Atapour, Jeremy W. Eng, Mariel Vazquez, Koya Shimokawa, and Christine E.Soteros,<br \/>\n<a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0166218X25004871\" target=\"top\" rel=\"noopener\">Discrete Applied Mathematics <b>379<\/b> (2026) 242-271<\/a>.<br \/>\n(<a href=\"https:\/\/arxiv.org\/abs\/2204.06186\" target=\"top\" rel=\"noopener\">arXiv:2204.06186<\/a>)<\/li>\n<li><b>45. An M<sub>60<\/sub>L<sub>60<\/sub> metal-peptide capsid with a 60-crossing woven network<\/b><br \/>\nYuuki Inomata, Sota Oguma, Nao Sagara, Ami Nishijima, Yuta Saburomaru, Satoshi Yoshida, Takashi Kajitani, Koya Shimokawa, Sota Sato, Michito Yoshizawa, Makoto Fujita, and Tomohisa Sawada,<br \/>\n<a href=\"https:\/\/doi.org\/10.1016\/j.chempr.2025.102555\" target=\"top\" rel=\"noopener\">Chem <b>11<\/b> 102555 (2025)<\/a>.<\/p>\n<li><b>44. Non-integral boundary slopes of alternating knots<\/b><br \/>\nMasaharu Ishikawa, Thomas W. Mattman, and Koya Shimokawa,<br \/>\n<a href=\"https:\/\/link.springer.com\/article\/10.1007\/s10711-025-00980-0\" target=\"top\" rel=\"noopener\">Geometriae Dedicata <b>219<\/b>, article number 19, (2025)<\/a>.<br \/>\n(<a href=\"https:\/\/arxiv.org\/abs\/2309.02370\" target=\"top\" rel=\"noopener\">arXiv:2309.02370<\/a>)<\/li>\n<li><b>43. A first proof of knot localization for polymers in a nanochannel<\/b><br \/>\nNicholas R. Beaton, Kai Ishihara, Mahshid Atapour, Jeremy W. Eng, Mariel Vazquez, Koya Shimokawa, and Christine E. Soteros,<br \/>\n<a href=\"https:\/\/iopscience.iop.org\/article\/10.1088\/1751-8121\/ad6c01\" target=\"top\" rel=\"noopener\">J. Phys. A: Math. Theor. <b>57<\/b> 38LT01 (2024)<\/a>\n<\/li>\n<li><b>42. Molecular dynamics of topological barriers on the crystallization behavior of ring polyethylene melts with trefoil knots<\/b><br \/>\nKatsumi Hagita, Takahiro Murashima, Naoki Sakata, Koya Shimokawa, Tetsuo Deguchi, Erica Uehara, and Susumu Fujiwara.<br \/>\n<a href=\"https:\/\/pubs.acs.org\/doi\/10.1021\/acs.macromol.2c01843\" target=\"top\" rel=\"noopener\">Macromolecules <b>56<\/b> (2023) 15\u201327.<\/a> (Selected as cover image)<\/li>\n<li><b>41. On the classification of polyhedral links<\/b><br \/>\nNaohiro Wakayama and Koya Shimokawa,<br \/>\n<a href=\"https:\/\/www.mdpi.com\/2073-8994\/14\/8\/1712\" target=\"top\" rel=\"noopener\">Symmetry <b>14<\/b>, 1712 (2022)<\/a> (<a href=\"https:\/\/www.mdpi.com\/journal\/symmetry\/special_issues\/Topological_Methods_Chemistry_Molecular_Biology\" target=\"top\" rel=\"noopener\">Special Issue &#8220;Topological Methods in Chemistry and Molecular Biology&#8221;<\/a>)<br \/>\nSee <a href=\"https:\/\/www-p.sci.ocha.ac.jp\/shimokawa-lab\/publication\/comment\">Comment page<\/a><\/li>\n<li><b>40. Handlebody decompositions of three-manifolds and polycontinuous patterns<\/b><br \/>\nNaoki Sakata, Ryosuke Mishina, Masaki Ogawa,Kai Ishihara, Yuya Koda, Makoto Ozawa, and Koya Shimokawa,<br \/>\n<a href=\"https:\/\/doi.org\/10.1098\/rspa.2022.0073\">Proc. R. Soc. A <span class=\"volume\"><strong>478:<\/strong>\u00a0<\/span><span class=\"articleId\">20220073\u00a0<\/span>(2022)<\/a>. (Selected as cover image)<br \/>\n(<a href=\"https:\/\/arxiv.org\/abs\/2201.11420\" target=\"top\" rel=\"noopener\">arXiv:2201.11420<\/a>)<\/li>\n<li><b>39. Graph theoretical and knot theoretical analyses of multi-cyclic polymers<\/b><br \/>\nKai Ishihara and Koya Shimokawa,<br \/>\n<a href=\"https:\/\/www.springer.com\/gp\/book\/9789811668067\" target=\"top\" rel=\"noopener\">&#8220;Topological Polymer Chemistry: Concepts and Practices&#8221; ed. by Yasuyuki Tezuka and Tetsuo Deguchi, Springer(2022).<\/a><\/li>\n<li><b>38. Alternating knots with large boundary slope diameter<\/b><br \/>\nMasaharu Ishikawa, Thomas W. Mattman, Kazuya Namiki, and Koya Shimokawa,<br \/>\n<a href=\"https:\/\/www.ams.org\/books\/conm\/760\/\" target=\"top\" rel=\"noopener\">Contemporary Mathematics\u00a0<b>760<\/b>\u00a0(2020) 207-216<\/a>.<br \/>\n(<a href=\"https:\/\/arxiv.org\/abs\/1911.08562\" target=\"top\" rel=\"noopener\">arXiv:1911.08562<\/a>)<\/li>\n<li><b>37. A metal-peptide capsule by multiple ring threading<\/b><br \/>\nTomohisa Sawada, Yuuki Inomata, Koya Shimokawa, and Makoto Fujita,<br \/>\n<a href=\"https:\/\/doi.org\/10.1038\/s41467-019-13594-4\" target=\"top\" rel=\"noopener\">Nature Communications\u00a0<b>10<\/b>, Article number: 5687 (2019)<\/a><\/li>\n<li><b>36. Metal-peptide rings form highly entangled topologically inequivalent frameworks with the same ring- and crossing-numbers<\/b><br \/>\nTomohisa Sawada, Ami Saito, Kenki Tamiya, Koya Shimokawa, Yutaro Hisada, and Makoto Fujita,<br \/>\n<a href=\"https:\/\/www.nature.com\/articles\/s41467-019-08879-7\" target=\"top\" rel=\"noopener\">Nature Communications\u00a0<b>10<\/b>, Article number: 921 (2019)<\/a><\/li>\n<li><b>35. Neighborhood equivalence for multibranched surfaces in 3-manifolds<\/b><br \/>\nKai Ishihara, Yuya Koda, Makoto Ozawa, and Koya Shimokawa,<br \/>\n<a href=\"https:\/\/doi.org\/10.1016\/j.topol.2019.02.005\" target=\"top\" rel=\"noopener\">Topology Appl\u00a0<b>257<\/b>\u00a0(2019) 11-21.<\/a><br \/>\n(<a href=\"https:\/\/arxiv.org\/abs\/1806.08919\" target=\"top\" rel=\"noopener\">arXiv:1806.08919<\/a>)<\/li>\n<li><b>34. Characterising knotting properties of polymers in nanochannels<\/b><br \/>\nN. R. Beaton, J. W. Eng, K. Ishihara, K. Shimokawa, C. E. Soteros,<br \/>\n<a href=\"http:\/\/pubs.rsc.org\/en\/content\/articlelanding\/2018\/sm\/c8sm00734a#!divAbstract\" target=\"top\" rel=\"noopener\">Soft Matter\u00a0<b>14<\/b>\u00a0(2018) 5775-5785<\/a>.<br \/>\n(<a href=\"https:\/\/arxiv.org\/abs\/1803.08212\" target=\"top\" rel=\"noopener\">arXiv 1803.08212<\/a>, DOI: 10.1039\/c8sm00734a).<\/li>\n<li><b>33. Pathways of DNA unlinking: a story of stepwise simplification<\/b><br \/>\nRobert Stolz, Masaaki Yoshida, Reuben Brasher, Michelle Flanner, Kai Ishihara, David J. Sherratt, Koya Shimokawa, and Mariel Vazquez,<br \/>\n<a href=\"https:\/\/www.nature.com\/articles\/s41598-017-12172-2\" target=\"top\" rel=\"noopener\">Scientific Reports\u00a0<b>7<\/b>, Article number: 12420 (2017)<\/a>.<\/li>\n<li><b>32. Bounds for the minimum step number of knots confined to tubes in the simple cubic lattice<\/b><br \/>\nKai Ishihara, Maxime Pouokam, Atsumi Suzuki, Robert Scharein, Mariel Vazquez, Javier Arsuaga, and Koya Shimokawa,<br \/>\n<a href=\"http:\/\/iopscience.iop.org\/article\/10.1088\/1751-8121\/aa6a4f\" target=\"top\" rel=\"noopener\">J. Phys. A: Math. Theor.\u00a0<b>50<\/b>\u00a0(2017) 215601<\/a>. (Selected as cover image)<\/li>\n<li><b>31. On the Enumeration of Polymer Topologies<\/b><br \/>\nToshihiko Haruna, Takashi Horiyama, and Koya Shimokawa,<br \/>\n<a href=\"http:\/\/id.nii.ac.jp\/1001\/00178288\/\" target=\"top\" rel=\"noopener\">2017-AL-162, IPSJ SIG Technical Report<\/a>, Information Processing Society of Japan (2017).<\/li>\n<li><b>30. Dehn surgery and Seifert surface system<\/b><br \/>\nMakoto Ozawa and Koya Shimokawa,<br \/>\n<a href=\"https:\/\/journals.sns.it\/index.php\/annaliscienze\/article\/view\/498\" target=\"top\" rel=\"noopener\">Ann. Sc. Norm. Super. Pisa Cl. Sci. (5)\u00a0<b>XVII<\/b>\u00a0(2017) 267-276<\/a>.<br \/>\n(<a href=\"https:\/\/arxiv.org\/abs\/1406.6264\" target=\"top\" rel=\"noopener\">arXiv:1406.6264<\/a>)<\/li>\n<li><b>29. Band surgeries and crossing changes between fibered links<\/b><br \/>\nDorothy Buck, Kai Ishihara, Matt Rathbun, and Koya Shimokawa,<br \/>\n<a href=\"https:\/\/londmathsoc.onlinelibrary.wiley.com\/doi\/full\/10.1112\/jlms\/jdw049\" target=\"top\" rel=\"noopener\">J. London Math. Soc.\u00a0<b>94\u00a0<\/b>(2016) 557-582.<\/a><br \/>\n(<a href=\"https:\/\/arxiv.org\/abs\/1304.6781\" target=\"top\" rel=\"noopener\">arXiv 1304.6781<\/a>)<\/li>\n<li><b>28. Tangle sums and factorization of A-polynomials<\/b><br \/>\nMasaharu Ishikawa, Thomas W. Mattman, and Koya Shimokawa,<br \/>\n<a href=\"http:\/\/nyjm.albany.edu\/j\/2015\/21-37.html\" target=\"top\" rel=\"noopener\">New York J. Math.\u00a0<b>21<\/b>\u00a0(2015) 823-835<\/a>.<br \/>\n(<a href=\"https:\/\/arxiv.org\/abs\/1107.2640\" target=\"top\" rel=\"noopener\">arXiv:1107.2640<\/a>)<\/li>\n<li><b>27. Site-specific recombination modeled as a band surgery: Applications to Xer recombination<\/b><br \/>\nKai Ishihara, Koya Shimokawa, and Mariel Vazquez<br \/>\n<a href=\"http:\/\/www.springer.com\/computer\/theoretical+computer+science\/book\/978-3-642-40192-3\" target=\"top\" rel=\"noopener\">&#8220;Discrete and Topological Models in Molecular Biology&#8221; (2014)<\/a>\u00a0pp 387-401,<br \/>\nJonoska, Natasa; Saito, Masahico (Eds.), Natural Computing Series, Springer.<\/li>\n<li><b>26. FtsK-dependent XerCD-<i>dif<\/i>\u00a0recombination unlinks replication catenanes in a stepwise manner<\/b><br \/>\nKoya Shimokawa, Kai Ishihara, Ian Grainge, David J. Sherratt, and Mariel Vazquez.<br \/>\n<a href=\"http:\/\/www.pnas.org\/content\/110\/52\/20906.abstract\" target=\"top\" rel=\"noopener\">Proc. Natl. Acad. Sci. U S A\u00a0<b>110<\/b>\u00a0(52) 20906-20911 (2013)<\/a><br \/>\nSee also Commentary by Makkuni Jayaram,<br \/>\n&#8220;Mathematical validation of a biological model for unlinking replication catenanes by recombination&#8221;, Proc. Natl. Acad. Sci. USA\u00a0<b>110<\/b>\u00a0(52) 20854-20855 (2013)<\/li>\n<li><b>25. Tangle sums, norm curves and cyclic surgeries<\/b><br \/>\nMasaharu Ishikawa, Thomas W. Mattman, and Koya Shimokawa,<br \/>\n<a href=\"http:\/\/www.kurims.kyoto-u.ac.jp\/~kyodo\/kokyuroku\/contents\/pdf\/1836-03.pdf\" target=\"top\" rel=\"noopener\">RIMS K\u00f4ky\u00fbroku\u00a0<b>1836<\/b>\u00a018-33 (2013)<\/a><\/li>\n<li><b>24. Rational tangle surgery and Xer recombination on catenanes<\/b><br \/>\nIsabel K. Darcy, Kai Ishihara, Ram Medikonduri and Koya Shimokawa,<br \/>\n<a href=\"http:\/\/www.msp.warwick.ac.uk\/agt\/2012\/12-02\/p044.xhtml\" target=\"agt\" rel=\"noopener\">Algebr. Geom. Topol.\u00a0<b>12<\/b>\u00a01183-1210 (2012)<\/a><br \/>\n(<a href=\"https:\/\/arxiv.org\/abs\/1108.0724\" target=\"top\" rel=\"noopener\">arXiv:1108.0724<\/a>)<\/li>\n<li><b>23. Bounds for the minimum step number of knots confined to slabs in the simple cubic lattice<\/b><br \/>\nK. Ishihara, R. Scharein, Y. Diao, J. Arsuaga, M. Vazquez and K. Shimokawa<br \/>\n<a href=\"http:\/\/iopscience.iop.org\/1751-8121\/45\/6\/065003\" target=\"top\" rel=\"noopener\">J. Phys. A: Math. Theor.\u00a0<b>45<\/b>\u00a0065003 (2012)<\/a><br \/>\n<i>Featured article of the issue<\/i><\/li>\n<li><b>22. Signed unknotting number and knot chirality discrimination via strand passage<\/b><br \/>\nChris Soteros, Kai Ishihara, Koya Shimokawa, Michael Szafron, and Mariel Vazquez<br \/>\n<a href=\"http:\/\/ptps.oxfordjournals.org\/content\/191\/78.abstract\" target=\"top\" rel=\"noopener\">Progress of Theoretical Physics Supplement\u00a0<b>191<\/b>\u00a078-95 (2011)<\/a><\/li>\n<li><b>21. Band surgeries between knots and links with small crossing numbers<\/b><br \/>\nKai Ishihara and Koya Shimokawa<br \/>\n<a href=\"http:\/\/ptps.oxfordjournals.org\/content\/191\/245.abstract\" target=\"top\" rel=\"noopener\">Progress of Theoretical Physics Supplement\u00a0<b>191<\/b>\u00a0245-255 (2011)<\/a><\/li>\n<li><b>20. DNA\u3068\u7d50\u3073\u76ee\u7406\u8ad6<\/b><br \/>\nKoya Shimokawa and Mariel Vazquez<br \/>\n\u6570\u5b66\u00a0<b>63<\/b>\u00a0237-242 (2011)<\/li>\n<li><b>19. Bounds for the minimum step number of knots in the simple cubic lattice<\/b><br \/>\nR. Scharein, K. Ishihara, J. Arsuaga, Y. Diao, K. Shimokawa, and M. Vazquez,<br \/>\n<a href=\"http:\/\/iopscience.iop.org\/1751-8121\/42\/47\/475006\" target=\"top\" rel=\"noopener\">J. Phys. A: Math. Theor.\u00a0<b>42<\/b>\u00a0(2009) 475006 (24pp)<\/a><\/li>\n<li><b>18. Finite surgeries on three-tangle pretzel knots<\/b><br \/>\nDavid Futer, Masaharu Ishikawa, Yuichi Kabaya, Thomas W. Mattman, and Koya Shimokawa,<br \/>\n<a href=\"http:\/\/www.msp.warwick.ac.uk\/agt\/2009\/09-02\/p031.xhtml\" target=\"agt\" rel=\"noopener\">Algebr. Geom. Topol.\u00a0<b>9<\/b>\u00a0issue 2, 743-771 (2009)<\/a><br \/>\n(<a href=\"https:\/\/arxiv.org\/abs\/0809.4278\" target=\"top\" rel=\"noopener\">arXiv:0809.4278<\/a>)<\/li>\n<li><b>17. Tangle analysis of DNA unlinking by the Xer\/FtsK system<\/b><br \/>\nKoya Shimokawa, Kai Ishihara, and Mariel Vazquez,<br \/>\n<a href=\"http:\/\/ci.nii.ac.jp\/naid\/110007230522\">Bussei Kenkyu\u00a0<b>92<\/b>\u00a0no.1 89-92 (2009)<\/a><br \/>\nProceedings of the International Conference &#8220;Knots and soft-matter physics: topology of polymers and related topics in physics, mathematics and biology&#8221;,<\/li>\n<li><b>16. Exceptional surgery and boundary slopes<\/b><br \/>\nMasaharu Ishikawa, Thomas W. Mattman, and Koya Shimokawa,<br \/>\n<a href=\"http:\/\/projecteuclid.org\/DPubS?service=UI&amp;version=1.0&amp;verb=Display&amp;handle=euclid.ojm\/1165850037\" target=\"top\" rel=\"noopener\">Osaka J. Math.\u00a0<b>43<\/b>\u00a0No.4, 807-821 (2006)<\/a><br \/>\n(<a href=\"https:\/\/arxiv.org\/abs\/math.GT\/0211147\" target=\"top\" rel=\"noopener\">math.GT\/0211147<\/a>)<\/li>\n<li><b>15. Essential laminations and branched surfaces in the exteriors of links<\/b><br \/>\nMark Brittenham, Chuichiro Hayashi, Mikami Hirasawa, Tsuyoshi Kobayashi, and Koya Shimokawa,<br \/>\nJapan. J. Math.\u00a0<b>31<\/b>\u00a0No.1, 25-96 (2005)<\/li>\n<li><b>14. Tangle sum and constructible spheres<\/b><br \/>\nMasahiro Hachimori and Koya Shimokawa,<br \/>\n<a href=\"http:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218216504003214\" target=\"top\" rel=\"noopener\">J. Knot Theory Ramifications\u00a0<b>13<\/b>, 373-383 (2004)<\/a><\/li>\n<li><b>13. On non-simple reflexive links<\/b><br \/>\nHiroshi Matsuda, Makoto Ozawa, and Koya Shimokawa,<br \/>\n<a href=\"http:\/\/ejournals.wspc.com.sg\/jktr\/jktr.shtml\" target=\"top\" rel=\"noopener\">J. Knot Theory Ramifications<\/a>\u00a0<b>11<\/b>\u00a0787-791 (2002)<\/li>\n<li><b>12. Heegaard splittings of the pair of the solid torus and the core loop<\/b><br \/>\nChuichiro Hayashi and Koya Shimokawa,<br \/>\n<a href=\"http:\/\/www.mat.ucm.es\/serv\/revista\/\" target=\"top\" rel=\"noopener\">Rev. Mat. Complut.<\/a>\u00a0<b>14<\/b>\u00a0No.2, 479-501 (2001)<\/li>\n<li><b>11. Heegaard splittings of trivial arcs in compression bodies<\/b><br \/>\nChuichiro Hayashi and Koya Shimokawa,<br \/>\n<a href=\"http:\/\/ejournals.wspc.com.sg\/jktr\/jktr.shtml\" target=\"top\" rel=\"noopener\">J. Knot Theory Ramifications<\/a>\u00a0<b>10<\/b>, 71-87 (2001)<\/li>\n<li><b>10. Thin position of a pair (3-manifold, 1-submanifold)<\/b><br \/>\nChuichiro Hayashi and Koya Shimokawa,<br \/>\n<a href=\"https:\/\/msp.org\/pjm\/2001\/197-2\/p04.xhtml\" target=\"top\" rel=\"noopener\">Pacific J. Math.<\/a>\u00a0<b>197<\/b>, 301-324 (2001)<\/li>\n<li><b>9. A condition for a graph in the disc to contain the half hemisphere of the dodecahedron &#8212; Application to Dehn surgery theory &#8212;<\/b><br \/>\nChuichiro Hayashi and Koya Shimokawa<br \/>\n<a href=\"http:\/\/www.is.tohoku.ac.jp\/publication\/publication-e.html\" target=\"top\" rel=\"noopener\">Interdiscip. Inform. Sci.<\/a>\u00a0<b>7<\/b>, 5-16 (2001)<br \/>\nProceedings of the Workshop &#8220;Graph Theory and Related Topics&#8221;<\/li>\n<li><b>8. Dehn surgeries on strongly invertible knots which yield lens spaces<\/b><br \/>\nMikami Hirasawa and Koya Shimokawa,<br \/>\n<a href=\"http:\/\/www.ams.org\/proc\/\" target=\"top\" rel=\"noopener\">Proc. Amer. Math. Soc.<\/a>\u00a0<a href=\"http:\/\/www.ams.org\/proc\/2000-128-11\/\" target=\"top\" rel=\"noopener\"><b>128<\/b>\u00a0number 11<\/a>, 3445-3451 (2000)<\/li>\n<li><b>7. Hyperbolicity and boundary-irreducibility of alternating tangles<\/b><br \/>\nKoya Shimokawa,<br \/>\n<a href=\"http:\/\/www.elsevier.nl:80\/inca\/publications\/store\/5\/0\/5\/6\/2\/4\/\" target=\"top\" rel=\"noopener\">Topology Appl.<\/a>\u00a0<b>96<\/b>\u00a0217-239 (1999)<\/li>\n<li><b>6. Heegaard splittings of the trivial knot<\/b><br \/>\nChuichiro Hayashi and Koya Shimokawa,<br \/>\n<a href=\"http:\/\/ejournals.wspc.com.sg\/jktr\/jktr.shtml\" target=\"top\" rel=\"noopener\">J. Knot Theory Ramifications<\/a>\u00a0<b>7<\/b>, 1073-1085 (1998)<\/li>\n<li><b>5. On tunnel number one alternating knots and links<\/b><br \/>\nKoya Shimokawa,<br \/>\n<a href=\"http:\/\/journal.ms.u-tokyo.ac.jp\/\" target=\"top\" rel=\"noopener\">J. Math. Sci. Univ. Tokyo<\/a>\u00a0<a href=\"http:\/\/journal.ms.u-tokyo.ac.jp\/number\/jms0503.html\" target=\"top\" rel=\"noopener\"><b>5<\/b><\/a>, 547-560 (1998)<\/li>\n<li><b>4. Parallelism of two strings in alternating tangles<\/b><br \/>\nKoya Shimokawa,<br \/>\n<a href=\"http:\/\/ejournals.wspc.com.sg\/jktr\/jktr.shtml\" target=\"top\" rel=\"noopener\">J. Knot Theory Ramifications<\/a>\u00a0<b>7<\/b>, 489-502 (1998)<\/li>\n<li><b>3. Symmetric knots satisfy the cabling conjecture<\/b><br \/>\nChuichiro Hayashi and Koya Shimokawa,<br \/>\n<a href=\"https:\/\/www.cambridge.org\/core\/journals\/mathematical-proceedings-of-the-cambridge-philosophical-society\" target=\"top\" rel=\"noopener\">Math. Proc. Cambridge. Philos. Soc.<\/a>\u00a0<b>123<\/b>, 501-529 (1998)<\/li>\n<li><b>2. Incompressibility of closed surfaces in toroidally alternating link complements<\/b><br \/>\nKoya Shimokawa,<br \/>\n<a href=\"http:\/\/www.math.sci.osaka-u.ac.jp\/ojm\/\" target=\"top\" rel=\"noopener\">Osaka J. Math.<\/a>\u00a0<b>35<\/b>, 191-234 (1998)<\/li>\n<li><b>1. Tangles with alternating diagrams &#8211;Alternating tangle decompositions of knots and laminar surgery&#8211;<\/b><br \/>\nKoya Shimokawa,<br \/>\nProceedings of the 5-th Korea-Japan School of Knots and Links,<br \/>\n267&#8211;272 (1997), Center for Applied Mathematics, KAIST, Korea.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Google Scholar (Koya Shimokawa) Publications 49. The OU number and Reidemeister moves of type III for link dia &hellip; <a href=\"https:\/\/www-p.sci.ocha.ac.jp\/shimokawa-lab\/publication\">\u7d9a\u304d\u3092\u8aad\u3080 <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":43,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"page_one_column.php","meta":{"footnotes":""},"class_list":["post-33","page","type-page","status-publish","hentry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www-p.sci.ocha.ac.jp\/shimokawa-lab\/wp-json\/wp\/v2\/pages\/33","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www-p.sci.ocha.ac.jp\/shimokawa-lab\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www-p.sci.ocha.ac.jp\/shimokawa-lab\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www-p.sci.ocha.ac.jp\/shimokawa-lab\/wp-json\/wp\/v2\/users\/43"}],"replies":[{"embeddable":true,"href":"https:\/\/www-p.sci.ocha.ac.jp\/shimokawa-lab\/wp-json\/wp\/v2\/comments?post=33"}],"version-history":[{"count":63,"href":"https:\/\/www-p.sci.ocha.ac.jp\/shimokawa-lab\/wp-json\/wp\/v2\/pages\/33\/revisions"}],"predecessor-version":[{"id":506,"href":"https:\/\/www-p.sci.ocha.ac.jp\/shimokawa-lab\/wp-json\/wp\/v2\/pages\/33\/revisions\/506"}],"wp:attachment":[{"href":"https:\/\/www-p.sci.ocha.ac.jp\/shimokawa-lab\/wp-json\/wp\/v2\/media?parent=33"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}