Browsing FACULTY OF ARTS by Author "Nixon, Anthony"
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Rigidity of symmetric frameworks in normed spaces
Kitson, Derek; Nixon, Anthony; Schulze, Bernd (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 ... -
Which graphs are rigid in lpd? (Pre-published)
Dewar, Sean; Kitson, Derek; Nixon, Anthony (Springer, 2021-03-13)We present three results which support the conjecture that a graph is minimally rigid in d-dimensional ℓp-space, where p∈(1,∞) and p≠2, if and only if it is (d, d)-tight. Firstly, we introduce a graph bracing operation ...