Bar-and-joint rigidity on the moment curve coincides with cofactor rigidity on a conic

Crespo Ruiz, Luis; Santos, Francisco

doi:https://doi.org/10.5070/C63160428

dc.contributor.author	Crespo Ruiz, Luis
dc.contributor.author	Santos, Francisco
dc.contributor.other	Universidad de Cantabria	es_ES
dc.date.accessioned	2024-02-09T15:38:38Z
dc.date.available	2024-02-09T15:38:38Z
dc.date.issued	2023
dc.identifier.issn	2766-1334
dc.identifier.other	PID2019-106188GB-I00	es_ES
dc.identifier.uri	https://hdl.handle.net/10902/31632
dc.description.abstract	We show that, for points along the moment curve, the bar-and-joint rigidity matroid and the hyperconnectivity matroid coincide, and that both coincide with the -cofactor rigidity of points along any (non-degenerate) conic in the plane. For hyperconnectivity in dimension two, having the points in the moment curve is no loss of generality. We also show that, restricted to bipartite graphs, the bar-and-joint rigidity matroid is freer than the hyperconnectivity matroid.	es_ES
dc.description.sponsorship	Supported by grants PID2019-106188GB-I00 funded by MCIN/AEI/10.13039/501100011033 and by FPU19/04163 of the Spanish Government and by project CLaPPo (21.SI03.64658) of Universidad de Cantabria and Banco Santander.	es_ES
dc.format.extent	13 p.	es_ES
dc.language.iso	eng	es_ES
dc.publisher	University of California. eScholarship	es_ES
dc.rights	©The authors. Released under the CC BY license (International 4.0)	es_ES
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/	*
dc.source	Combinatorial Theory, 2023, 3(1), 15	es_ES
dc.subject.other	Rigidity	es_ES
dc.subject.other	Hyperconnectivity	es_ES
dc.subject.other	Moment curve	es_ES
dc.subject.other	Cofactor rigidity	es_ES
dc.title	Bar-and-joint rigidity on the moment curve coincides with cofactor rigidity on a conic	es_ES
dc.type	info:eu-repo/semantics/article	es_ES
dc.rights.accessRights	openAccess	es_ES
dc.identifier.DOI	https://doi.org/10.5070/C63160428
dc.type.version	publishedVersion	es_ES