43 citations · 82 across the 12 of their papers we have counts for
12 papers
Mobility of geometric constraint systems with extrusion symmetry
John Owen, Bernd Schulze
If we take a (bar-joint) framework, prepare an identical copy of this framework, translate it by some vector , and finally join corresponding points of the two copies, then we o…
A characterisation of the generic rigidity of 2-dimensional point-line frameworks
Bill Jackson, J. C. Owen
A 2-dimensional point-line framework is a collection of points and lines in the plane which are linked by pairwise constraints that fix some angles between pairs of lines and also…
A characterisation of generically rigid frameworks on surfaces of revolution
Anthony Nixon, John Owen, Stephen Power
A foundational theorem of Laman provides a counting characterisation of the finite simple graphs whose generic bar-joint frameworks in two dimensions are infinitesimally rigid. Rec…
Radically solvable graphs
Bill Jackson, J. C. Owen
A 2-dimensional framework is a straight line realisation of a graph in the Euclidean plane. It is radically solvable if the set of vertex coordinates is contained in a radical exte…
The number of equivalent realisations of a rigid graph
Bill Jackson, J. C. Owen
Given a rigid realisation of a graph in , it is an open problem to determine the maximum number of pairwise non-congruent realisations which have the same edge l…
An Inductive Construction of (2,1)-tight Graphs
Anthony Nixon, John Owen
The simple graphs that satisfy for any subgraph (and for ) are the -sparse graphs. Those that also satisfy are the …