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Abstract 3-Rigidity and Bivariate C½-Splines II: Combinatorial Characterization

dc.contributor.authorClinch, Ken_US
dc.contributor.authorJackson, Ben_US
dc.contributor.authorTanigawa, SIen_US
dc.date.accessioned2023-04-05T12:57:10Z
dc.date.available2022-03-18en_US
dc.date.issued2022-05-11en_US
dc.identifier.issn2397-3129en_US
dc.identifier.urihttps://qmro.qmul.ac.uk/xmlui/handle/123456789/85587
dc.description.abstractWe showed in the first paper of this series that the generic C1-cofactor matroid is the unique maximal abstract 3-rigidity matroid. In this paper we obtain a combinatorial characterization of independence in this matroid. This solves the cofactor counterpart of the combinatorial characterization problem for the rigidity of generic 3-dimensional bar-joint frameworks. We use our characterization to verify that the counterparts of conjectures of Dress (on the rank function) and Lovász and Yemini (which suggested a sufficient connectivity condition for rigidity) hold for the C1-cofactor matroid.en_US
dc.format.extent1 - 32en_US
dc.publisherDiamond Open Access Journalsen_US
dc.relation.ispartofDiscrete Analysisen_US
dc.rightsThis item is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
dc.rightsAttribution 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/us/*
dc.titleAbstract 3-Rigidity and Bivariate C½-Splines II: Combinatorial Characterizationen_US
dc.typeArticle
dc.rights.holder© 2023. The Authors. Published by Diamond Open Access Journals
dc.identifier.doi10.19086/da.343692en_US
pubs.notesNot knownen_US
pubs.publication-statusPublisheden_US
pubs.volume2022en_US
dcterms.dateAccepted2022-03-18en_US
rioxxterms.funderDefault funderen_US
rioxxterms.identifier.projectDefault projecten_US


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This item is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Except where otherwise noted, this item's license is described as This item is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.