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嵵丂摗丂晀丂晇乮弝嫵庼乯
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亙嫵堢妶摦亜
庼丂丂嬈
亂娤揰侾亃嫵堢曽朄媦傃惉愌昡壙柺偱偺庢慻
妛晹侾擭惗慡堳偑庴島偡傞偙偲偵側偭偰偄傞乽嶼悢乿偱偼丆嶼悢偑嬯庤側妛惗偱傕嫵抎偵棫偭偨偲偒偵巊偊傞傛偆側榖戣傪愱栧揑側棫応偐傜採嫙偡傞偙偲偵傛傝妛惗偺妛廗堄梸傪懀偟偨丅傑偨丆帒椏偲側傞曗彆嫵嵽傪攝晍丒妶梡偟庼嬈傪墌妸偵恑峴偝偣傞偙偲偱丆妛惗偑乽棟夝偡傞乿偨傔偵昁梫側帪娫傪妋曐偡傞偙偲傪慱偭偨丅傑偨丆帇妎揑側棟夝傪懀偡偨傔偺嫵嵽傕怴偨偵嶌惉偍傛傃夵椙傪巤偟丆棟夝搙偺岦忋傪帋傒偨丅偦偺懠丆悢妛僐乕僗偺妛惗偵懳偡傞懠偺庼嬈偱傕偙傟傜傪廳帇偟偨庼嬈傪揥奐偟偨丅
亂娤揰俀亃嫵堢偺払惉忬嫷
嵟彫尷偺愱栧抦幆傪採嫙偡傞偙偲偼偱偒偨偑丆妛惗偺棟夝偍傛傃婎慴妛椡傪傛傝岦忋偝偣傞偨傔偵偼丆庼嬈撪梕丒恑搙偵偮偄偰嵞峫偑媮傔傜傟傞丅傑偨丆庼嬈偱庢傝忋偘傞僥乕儅偵偮偄偰傕嵞峫偺梋抧偑偁傞丅
尋媶巜摫
亂娤揰侾亃妛晹
僛儈偱偼悢妛彂傪椫撉偟丆弴斣偵敪昞幰偑崟斅傪梡偄偰懠幰傊夝愢傪峴偆偲偄偆宍幃傪嵦梡偟偨丅偙傟偵傛傝丆傑偢偼悢妛彂傪棟夝偡傞偨傔偺悢妛抦幆傪梴偆偙偲偑偱偒傞丅傑偨丆挳廜偵棟夝偟偰傕傜偆偨傔偵偼丆峔惉傗斅彂偺岺晇傕昁梫偱偁傝丆愱栧揑側撪梕傪戞嶰幰偵揱偊傞弍傕廋摼偱偒傞丅偝傜偵丆杮宍幃偱偼挳島幰偑偄偮偱傕帺桼偵幙栤傪搳偘偐偗傞偙偲偑偱偒傞傛偆偵偟偰偍傝丆敪昞幰偼幙栤傪惓妋偵攃埇偟丆弖帪偵夞摎偡傞偙偲傕梫媮偝傟傞丅偙傟傜偼偡傋偰嫵堳偲偟偰嫵抎偵棫偮偆偊偱昁梫晄壜寚側帒幙偱偁傞偙偲傪摜傑偊丆椪彴揑側幚慔椡傊岦偗偨曪妵揑側婎慴屌傔傪巜摫偟偨丅
亂娤揰俀亃戝妛堾
僛儈偱偼愱栧彂傪惛撉偟丆弴斣偵敪昞幰偑崟斅傪梡偄偰懠幰傊夝愢傪峴偆偲偄偆宍幃傪嵦梡偟偰偄傞丅偙傟偵傛傝丆愱栧彂傪棟夝偡傞偨傔偺崅搙側悢妛抦幆傪梴偆偙偲偑偱偒傞丅傑偨丆挳廜偵棟夝偟偰傕傜偆偨傔偵偼丆峔惉傗斅彂偺岺晇傕昁梫偱偁傝丆偦偺崅搙偵愱栧揑側撪梕傪戞嶰幰偵揱偊傞弍傕廋摼偱偒傞丅偝傜偵丆杮宍幃偱偼挳島幰偑偄偮偱傕帺桼偵幙栤傪搳偘偐偗傞偙偲偑偱偒傞傛偆偵偟偰偍傝丆敪昞幰偼幙栤傪惓妋偵攃埇偟丆弖帪偵夞摎偡傞偙偲傕梫媮偝傟傞丅偙傟傜偼偡傋偰嫵堳偲偟偰嫵抎偵棫偮偆偊偱昁梫晄壜寚側帒幙偱偁傞偙偲傪摜傑偊丆傛傝崅搙偵椪彴揑側幚慔椡偺廋摼傊岦偗偨巜摫傪峴偭偨丅
偦偺懠偺嫵堢妶摦
嫵堢幚廗偵偍偗傞尋媶庼嬈偱偼丆幚廗惗偑帺恎偺庼嬈傪戞嶰幰偺帇揰偐傜怳傝曉傞偙偲偑偱偒傞傛偆偵攝椂偟偨丅嬶懱揑偵偼丆庼嬈娤嶡拞偵婥晅偄偨撪梕乮帪娫攝暘丒悢妛揑側晄揔愗敪尵丒斅彂儈僗丒巕偳傕偺斀墳摍乯傪妛惗偑嶌惉偟偨巜摫埬偵帠嵶偐偔彂偒崬傫偩偆偊偱曉媝偟丆偦傟傪婎偵挌擩側怳傝曉傝傪峴偭偨丅
仢摿怓偁傞揰媦傃崱屻偺専摙壽戣摍
庼嬈偱崅搙側婔壗妛揑撪梕傪埖偆嵺丆乽帇妎揑側棟夝乿傪懀偡偨傔偵巻嵶岺側偳傪幚嵺偵嶌偭偰斺業偟偨丅偙傟偵偮偄偰偼妛惗偺斀墳傕椙偐偭偨傛偆偱丆偙傟偐傜傕彮偟偢偮嶌昳傪憹傗偟偰偄偒偨偄偲峫偊偰偄傞丅傑偨丆妛惗偺慺杙側媈栤偵摎偊傞帪娫傕廫暘偵梡堄偟丆庼嬈偑堦曽揑偵側傜側偄傛偆偵攝椂偟偨丅傑偨丆80柤傪挻偊傞戝恖悢偵懳偡傞庼嬈偱偼丆崱擭搙偼妛惗偺帺庡揑側嶲壛傪懀偡偨傔丆10柤掱搙偐傜側傞僌儖乕僾傪嶌傝悢妛揑妶摦傪幚巤偟偨丅栚揑偼奣偹払偣傜傟偨偑丆偦偺妶摦撪梕偵偮偄偰偼専摙偺梋抧偑偁傝丆崱屻偺嵟廳梫専摙壽戣偱偁傞丅
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亙尋媶妶摦亜
尋媶惉壥偺敪昞忬嫷
榑亃(1)暯惉25擭11寧丗Knots with arbitrarily high distance bridge decompositions,Bulletin of the Korean Mathematical Society丆Bulletin of the Korean Mathematical Society丆50姫丆俇崋丆 pp.1989-2000
敪亃(1)暯惉25擭10寧22擔丗Tunnel number of tangles and knots丆UCSB Topology Seminar
(2)暯惉25擭俋寧24擔丗Meridional destabilizing number of knots丆擔杮悢妛夛廐婫憤崌暘壢夛
(3)暯惉25擭俋寧俁擔丗Tunnel number of tangles and knots丆International Conference on Topology and Geometry 2013
妛夛妶摦傊偺嶲壛忬嫷
(1)暯惉26擭俁寧15擔乣暯惉26擭俁寧17擔丗擔杮悢妛夛丒擭夛丆丂(2)暯惉25擭俋寧24擔乣暯惉25擭俋寧25擔丗擔杮悢妛夛丒廐婫憤崌暘壢夛丆丂(3)暯惉25擭俋寧24擔丗擔杮悢妛夛廐婫憤崌暘壢夛乮僩億儘僕乕暘壢夛乯堦斒島墘嵗挿乮擔杮悢妛夛乯
奜崙偵偍偗傞尋媶偺忬嫷
(1)暯惉26擭俁寧俆擔乣暯惉26擭俁寧10擔丗僀僞儕傾丂寢傃栚偺杮幙揑僞儞僌儖暘夝偵娭偡傞尋媶
(2)暯惉25擭10寧20擔乣暯惉25擭10寧23擔丗 暷崙丂Heegaard棟榑傪梡偄偨寢傃栚偺尋媶
仢摿怓丒嫮挷揰摍
杮尋媶偱偼丆寢傃栚棟榑偍傛傃俁師尦懡條懱榑偺庡梫尋媶壽戣偱偁傞乽儗儞僘嬻娫庤弍乿偲乽Hempel嫍棧乿偲偄偆丆偁傑傝怺偄娭學偑傒傜傟側偐偭偨椉幰傪寢傃晅偗傞偙偲傪栚巜偟偰偄傞丅傑偩傑偩姰慡夝柧偵偼掱墦偄偑丆彮側偔偲傕屳偄偵側傫傜偐偺塭嬁傪梌偊偰偄傞偙偲偼妋擣偱偒偨丅偙傟偼杮尋媶偺敪揥惈偑廫暘偵婜懸偱偒傞偙偲傪曐徹偡傞婱廳側寢壥偱偁傞丅傑偨丆杮尋媶懳徾偱傕偁傞乽寢傃栚乿偼嬤擭丆DNA偺埵憡峔憿偵娭偡傞尋媶偵墳梡偝傟偰偄傞偙偲偐傜丆乽寢傃栚乿偵偮偄偰悢妛揑棟夝傪怺傔傞偙偲偑惗壔妛傪偼偠傔懠暘栰傊峷專偡傞偙偲偵偮側偑傞偲偄偆堄枴偱傕廳梫側尋媶偲偄偊傞丅
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亙幮夛偲偺楢実亜
仢幮夛傊偺婑梌摍
2013擭9寧24擔偵奐嵜偝傟偨擔杮悢妛夛廐婫憤崌暘壢夛乮僩億儘僕乕暘壢夛乯偵偍偄偰堦斒島墘嵗挿傪柋傔偨丅
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