5 papers
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…
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…
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…
Sparsity greedoids and pebble game algorithms for posets
Signe Lundqvist, Tovohery Randrianarisoa, Klara Stokes +1
We generalise a sparsity condition for hypergraphs and show a result relating sparseness of hypergraphs to the decomposition of a modified incidence graph into edge-disjoint forest…
Structural rigidity and flexibility using graphs of groups
Joannes Vermant, Klara Stokes
In structural rigidity, one studies frameworks of bars and joints in Euclidean space. Such a framework is an articulated structure consisting of rigid bars, joined together at join…