3 papers
math.DG2026
Rigidity on compact surfaces through hyperbolic symmetries
Sean Dewar, Alison La Porta, Rebecca Monks +3
Generically the rigidity of bar-joint structures admits combinatorial characterisations in the Euclidean plane and, more generally, for frameworks on the sphere and the torus. The…
math.CO2026
Homological methods in rigidity theory using graphs of groups
Joannes Vermant
In recent work, Stokes and Vermant considered graph-of-groups realisations of hypergraphs as a new description of rigidity-theoretic problems. In this paper, we show that the infin…
math.CO2024
Cayley Incidence Graphs
Arnbjörg Soffía Árnadóttir, Alexey Gordeev, Sabrina Lato +2
Evra, Feigon, Maurischat, and Parzanchevski (2023) introduced a biregular extension of Cayley graphs. In this paper, we reformulate their definition and provide some basic properti…