AbstractThe edge set of a graph G is partitioned into two subsets EC∪ES. A tensegrity framework with underlying graph G and with cables for EC and struts for ES is proved to be rigidly embeddable into a one-dimensional line if and only if G is 2-edge-connected and every 2-vertex-connected component of G intersects both EC and ES. Polynomial algorithms are given for finding an embedding of such graphs and for checking the rigidity of a given one-dimensional embedding
Rigidity graph theory has found broad applications in engineering, architecture, biology and chemist...
Recall that a tensegrity framework (G,p) is universally rigid if when (G,q) satisfies the constraint...
A form-finding problem for tensegrity structures is studied; given an abstract graph, we show an alg...
The edge set of a graphG is partitioned into two subsets EC∪ES. A tensegrity framework with underlyi...
AbstractThe edge set of a graph G is partitioned into two subsets EC∪ES. A tensegrity framework with...
Tensegrity frameworks are defined on a set of points in Rd and consist of bars, cables, and struts, ...
AbstractTensegrity frameworks are defined on a set of points in Rd and consist of bars, cables, and ...
In this paper we formulate and prove necessary and sufficient geometric conditions for existence of ...
Consider a graph G with n vertices. In this paper we study geometric conditions for an n-tuple of po...
A form-finding problem for tensegrity structures is studied; given an abstract graph, we show an alg...
We extend the mathematical theory of rigidity of frameworks (graphs embedded in d‐dimensional space)...
A $d$-dimensional bar-and-joint framework $(G,p)$ with underlying graph $G$ is called universally ri...
This paper discusses methods for growing tensegrity frameworks akin to what are now known as Hennebe...
This paper discusses methods for growing tensegrity frameworks akin to what are now known as Hennebe...
Rigidity graph theory has found broad applications in engineering, architecture, biology and chemist...
Rigidity graph theory has found broad applications in engineering, architecture, biology and chemist...
Recall that a tensegrity framework (G,p) is universally rigid if when (G,q) satisfies the constraint...
A form-finding problem for tensegrity structures is studied; given an abstract graph, we show an alg...
The edge set of a graphG is partitioned into two subsets EC∪ES. A tensegrity framework with underlyi...
AbstractThe edge set of a graph G is partitioned into two subsets EC∪ES. A tensegrity framework with...
Tensegrity frameworks are defined on a set of points in Rd and consist of bars, cables, and struts, ...
AbstractTensegrity frameworks are defined on a set of points in Rd and consist of bars, cables, and ...
In this paper we formulate and prove necessary and sufficient geometric conditions for existence of ...
Consider a graph G with n vertices. In this paper we study geometric conditions for an n-tuple of po...
A form-finding problem for tensegrity structures is studied; given an abstract graph, we show an alg...
We extend the mathematical theory of rigidity of frameworks (graphs embedded in d‐dimensional space)...
A $d$-dimensional bar-and-joint framework $(G,p)$ with underlying graph $G$ is called universally ri...
This paper discusses methods for growing tensegrity frameworks akin to what are now known as Hennebe...
This paper discusses methods for growing tensegrity frameworks akin to what are now known as Hennebe...
Rigidity graph theory has found broad applications in engineering, architecture, biology and chemist...
Rigidity graph theory has found broad applications in engineering, architecture, biology and chemist...
Recall that a tensegrity framework (G,p) is universally rigid if when (G,q) satisfies the constraint...
A form-finding problem for tensegrity structures is studied; given an abstract graph, we show an alg...
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