AbstractIn this paper we prove the equivalence of some conjectures on the generic rigidity bar frameworks in 3-space
A rigidity theory is developed for the Euclidean and non-Euclidean placements of countably infinite ...
We propose new symmetry-adapted rigidity matrices to analyze the infinitesimal rigidity of bar-joint...
A graph G=(V,E) is d-sparse if each subset X⊆V with |X|≥d induces at most d|X|−(d+12) edges in G. Ma...
AbstractIn this paper we prove the equivalence of some conjectures on the generic rigidity bar frame...
Let $V=\{1,\ldots,n\}$ be a finite set. An $r$-configuration is a mapping $p:V \rightarrow R^r$, whe...
A theorem of Laman gives a combinatorial characterisation of the graphs that admit a realisation as ...
This thesis is an examination of infinitesimal rigidity in generic structures using linear algebra ...
A foundational theorem of Laman provides a counting characterization of the finite simple graphs who...
We consider the problem of characterising the generic rigidity of bar-joint frameworks in R d in whi...
AbstractA simple graph G=(V,E) is 3-rigid if its generic bar-joint frameworks in R3 are infinitesima...
We develop a rigidity theory for bar-joint frameworks in Euclidean d-space in which specified classe...
A simple graph G = (V,E) is 3-rigid if its generic bar-joint frameworks in R^3 are infinitesimally r...
A $d$-dimensional bar-and-joint framework $(G,p)$ with underlying graph $G$ is called universally ri...
PhDA d-dimensional (bar-and-joint) framework is a pair (G; p) where G = (V;E) is a graph and p : V ...
Fekete, Jord\'an and Kaszanitzky [4] characterised the graphs which can be realised as 2-dimensional...
A rigidity theory is developed for the Euclidean and non-Euclidean placements of countably infinite ...
We propose new symmetry-adapted rigidity matrices to analyze the infinitesimal rigidity of bar-joint...
A graph G=(V,E) is d-sparse if each subset X⊆V with |X|≥d induces at most d|X|−(d+12) edges in G. Ma...
AbstractIn this paper we prove the equivalence of some conjectures on the generic rigidity bar frame...
Let $V=\{1,\ldots,n\}$ be a finite set. An $r$-configuration is a mapping $p:V \rightarrow R^r$, whe...
A theorem of Laman gives a combinatorial characterisation of the graphs that admit a realisation as ...
This thesis is an examination of infinitesimal rigidity in generic structures using linear algebra ...
A foundational theorem of Laman provides a counting characterization of the finite simple graphs who...
We consider the problem of characterising the generic rigidity of bar-joint frameworks in R d in whi...
AbstractA simple graph G=(V,E) is 3-rigid if its generic bar-joint frameworks in R3 are infinitesima...
We develop a rigidity theory for bar-joint frameworks in Euclidean d-space in which specified classe...
A simple graph G = (V,E) is 3-rigid if its generic bar-joint frameworks in R^3 are infinitesimally r...
A $d$-dimensional bar-and-joint framework $(G,p)$ with underlying graph $G$ is called universally ri...
PhDA d-dimensional (bar-and-joint) framework is a pair (G; p) where G = (V;E) is a graph and p : V ...
Fekete, Jord\'an and Kaszanitzky [4] characterised the graphs which can be realised as 2-dimensional...
A rigidity theory is developed for the Euclidean and non-Euclidean placements of countably infinite ...
We propose new symmetry-adapted rigidity matrices to analyze the infinitesimal rigidity of bar-joint...
A graph G=(V,E) is d-sparse if each subset X⊆V with |X|≥d induces at most d|X|−(d+12) edges in G. Ma...