32 citations · 44 across the 11 of their papers we have counts for
18 papers
Rigid graphs in cylindrical normed spaces
Sean Dewar, Derek Kitson
We characterise rigid graphs for cylindrical normed spaces where is a finite dimensional real normed linear space and is endowed with the prod…
Braced triangulations and rigidity
James Cruickshank, Eleftherios Kastis, Derek Kitson +1
We consider the problem of finding an inductive construction, based on vertex splitting, of triangulated spheres with a fixed number of additional edges (braces). We show that for…
Symbol functions for symmetric frameworks
Eleftherios Kastis, Derek Kitson, John E. McCarthy
We prove a variant of the well-known result that intertwiners for the bilateral shift on ` are unitarily equivalent to multiplication operators on . This enables…
Which graphs are rigid in ?
Sean Dewar, Derek Kitson, Anthony Nixon
We present three results which support the conjecture that a graph is minimally rigid in -dimensional -space, where and , if and only if it is…
Topological inductive constructions for tight surface graphs
James Cruickshank, Derek Kitson, Stephen C. Power +1
We investigate properties of sparse and tight surface graphs. In particular we derive topological inductive constructions for -tight surface graphs in the case of the spher…
Rigidity of symmetric frameworks in normed spaces
Derek Kitson, Anthony Nixon, Bernd Schulze
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-ty…