@article{10902/31632,
year = {2023},
url = {https://hdl.handle.net/10902/31632},
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.},
organization = {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.},
publisher = {University of California. eScholarship},
publisher = {Combinatorial Theory, 2023, 3(1), 15},
title = {Bar-and-joint rigidity on the moment curve coincides with cofactor rigidity on a conic},
author = {Crespo Ruiz, Luis and Santos, Francisco},
}