Spatial Graphoids
| dc.contributor.author | Gugumcu, Neslihan | |
| dc.contributor.author | Kauffman, Louis H. | |
| dc.contributor.author | Pongtanapaisan, Puttipong | |
| dc.date.accessioned | 2023-11-11T08:56:21Z | |
| dc.date.available | 2023-11-11T08:56:21Z | |
| dc.date.issued | 2023 | |
| dc.description | Article; Early Access | en_US |
| dc.description.abstract | To 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.sponsorship | Pacific Institute for the Mathematical Sciences, PIMS | en_US |
| dc.description.sponsorship | We 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.identifier.doi | 10.1007/s00010-023-00981-y | |
| dc.identifier.doi | 10.1007/s00010-023-00981 | |
| dc.identifier.issn | 0001-9054 | |
| dc.identifier.issn | 1420-8903 | |
| dc.identifier.scopus | 2-s2.0-85171752484 | |
| dc.identifier.uri | https://doi.org/10.1007/s00010-023-00981-y | |
| dc.identifier.uri | https://doi.org/10.1007/s00010-023-00981 | |
| dc.identifier.uri | https://hdl.handle.net/11147/14053 | |
| dc.language.iso | en | en_US |
| dc.publisher | Birkhauser | en_US |
| dc.relation.ispartof | Aequationes Mathematicae | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Knotoids | en_US |
| dc.subject | Spatial graphs | en_US |
| dc.subject | Virtual knots | en_US |
| dc.subject | Yamada polynomial | en_US |
| dc.title | Spatial Graphoids | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | … | |
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| gdc.description.department | İzmir Institute of Technology | en_US |
| gdc.description.departmenttemp | Gügümcü, N., Department of Mathematics, Izmir Institute of Technology, Gülbahçe Campus, Izmir, 35430, Turkey; Kauffman, L.H., Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, 851 South Morgan St., Chicago, IL 60607-7045, United States; Pongtanapaisan, P., School of Mathematical and Statistical Sciences, Arizona State University, Tempe, 85287, United States | en_US |
| gdc.description.endpage | 332 | |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 303 | |
| gdc.description.volume | 98 | |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.openalex | W4386923340 | |
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