Rights statement: © 2014 London Mathematical Society
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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Infinitesimal rigidity for non-Euclidean bar-joint frameworks
AU - Kitson, Derek
AU - Power, Stephen
N1 - © 2014 London Mathematical Society
PY - 2014
Y1 - 2014
N2 - The minimal innitesimal rigidity of bar-joint frameworks in the non-Euclidean spaces (R2, ||.||q) are characterised in terms of (2,2)-tight graphs. Specifically, a generically placed bar-joint framework (G,p) in the plane is minimally infinitesimally rigid with respect to a non-Euclidean lq norm if and only if the underlying graph G = (V,E) contains 2|V|-2 edges and every subgraph H = (V (H),E(H)) contains at most 2|V(H)|-2 edges.
AB - The minimal innitesimal rigidity of bar-joint frameworks in the non-Euclidean spaces (R2, ||.||q) are characterised in terms of (2,2)-tight graphs. Specifically, a generically placed bar-joint framework (G,p) in the plane is minimally infinitesimally rigid with respect to a non-Euclidean lq norm if and only if the underlying graph G = (V,E) contains 2|V|-2 edges and every subgraph H = (V (H),E(H)) contains at most 2|V(H)|-2 edges.
KW - math.MG
KW - math.CO
KW - 52C25 (primary), 05C10 (secondary)
U2 - 10.1112/blms/bdu017
DO - 10.1112/blms/bdu017
M3 - Journal article
VL - 46
SP - 685
EP - 697
JO - Bulletin of the London Mathematical Society
JF - Bulletin of the London Mathematical Society
SN - 0024-6093
IS - 4
ER -