Browsing by Subject "Bar-joint framework"
Now showing items 1-3 of 3
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Constructing isostatic frameworks for the l1 and l infinity plane (Pre-published)
(Electronic Journal of Combinatorics, 2020-06-12)We use a new coloured multi-graph constructive method to prove that if the edge-set of a graph G = (V,E) has a partition into two spanning trees T1 and T2 then there is a map p : V → R2, p(v) = (p(v)1,p(v)2), such that ... -
Rigidity of symmetric frameworks in normed spaces
(Elsevier, 2020-12-15)We develop a combinatorial rigidity theory for symmetric bar-joint frameworks in a general finite dimensional normed space. In the case of rotational symmetry, matroidal Maxwell-type sparsity counts are identified for a ... -
Symbol functions for symmetric frameworks (Pre-published)
(Elsevier, 2021-05-15)We prove a variant of the well-known result that intertwiners for the bilateral shift on ℓ2(Z) are unitarily equivalent to multiplication operators on L2(T). This enables us to unify and extend fundamental aspects of ...