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

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.

Otras publicaciones de la misma revista o congreso con autores/as de la Universidad de Cantabria

 Fuente: Combinatorial Theory, 2023, 3(1), 15

Editorial: University of California. eScholarship

 Año de publicación: 2023

Nº de páginas: 13

Tipo de publicación: Artículo de Revista

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

ISSN: 2766-1334

 Proyecto español: PID2019-106188GB-I00