Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/14053
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dc.contributor.authorGugumcu, Neslihan-
dc.contributor.authorKauffman, Louis H.-
dc.contributor.authorPongtanapaisan, Puttipong-
dc.date.accessioned2023-11-11T08:56:21Z-
dc.date.available2023-11-11T08:56:21Z-
dc.date.issued2023-
dc.identifier.issn0001-9054-
dc.identifier.issn1420-8903-
dc.identifier.urihttps://doi.org/10.1007/s00010-023-00981-y-
dc.identifier.urihttps://doi.org/10.1007/s00010-023-00981-
dc.identifier.urihttps://hdl.handle.net/11147/14053-
dc.descriptionArticle; Early Accessen_US
dc.description.abstractTo study knotted graphs with open ends arising in proteins, we introduce virtual graphoids, which are virtual spatial graph diagrams with two distinguished degree-one vertices modulo graph Reidemeister moves applied away from the distinguished vertices. Generalizing previously known results, we give topological interpretations of graphoids. By analyzing the Yamada polynomial, we provide bounds for the crossing numbers. As an application, we can produce nontrivial graphoids by verifying that they satisfy adequacy conditions in the same spirit as Lickorish and Thistlethwaite’s notion of adequate links. © 2023, The Author(s), under exclusive licence to Springer Nature Switzerland AG.en_US
dc.description.sponsorshipPacific Institute for the Mathematical Sciences, PIMSen_US
dc.description.sponsorshipWe would like to thank Eleni Panagiotou for posing the question that inspired this paper at the BIRS workshop 21w5232. We are grateful for helpful discussions and encouragement from Kasturi Barkataki, Micah Chrisman, and Homayun Karimi. Research conducted for this paper is supported by the Pacific Institute for the Mathematical Sciences (PIMS). The research and findings may not reflect those of the Institute. We thank the anonymous referees for their careful review of our manuscript and for their suggestions.en_US
dc.language.isoenen_US
dc.publisherBirkhauseren_US
dc.relation.ispartofAequationes Mathematicaeen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectKnotoidsen_US
dc.subjectSpatial graphsen_US
dc.subjectVirtual knotsen_US
dc.subjectYamada polynomialen_US
dc.titleSpatial graphoidsen_US
dc.typeArticleen_US
dc.institutionauthor-
dc.departmentİzmir Institute of Technologyen_US
dc.identifier.wosWOS:001069487000002en_US
dc.identifier.scopus2-s2.0-85171752484en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.doi10.1007/s00010-023-00981-y-
dc.identifier.doi10.1007/s00010-023-00981-
dc.authorscopusid57195772414-
dc.authorscopusid7005659125-
dc.authorscopusid57079278300-
dc.identifier.scopusqualityQ2-
item.grantfulltextnone-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.fulltextNo Fulltext-
item.languageiso639-1en-
item.openairetypeArticle-
item.cerifentitytypePublications-
crisitem.author.dept04.02. Department of Mathematics-
Appears in Collections:Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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