Accepted author manuscript, 320 KB, PDF document
Available under license: CC BY: Creative Commons Attribution 4.0 International License
Final published version
Licence: CC BY: Creative Commons Attribution 4.0 International License
Research output: Contribution to Journal/Magazine › Journal article › peer-review
| <mark>Journal publication date</mark> | 31/03/2020 |
|---|---|
| <mark>Journal</mark> | Discrete and Computational Geometry |
| Issue number | 2 |
| Volume | 63 |
| Number of pages | 25 |
| Pages (from-to) | 294-318 |
| Publication Status | Published |
| Early online date | 18/12/19 |
| <mark>Original language</mark> | English |
A rigidity theory is developed for frameworks in a metric space with two types of distance constraints. Mixed sparsity graph characterisations are obtained for the infinitesimal and continuous rigidity of completely regular bar-joint frameworks in a variety of such contexts. The main results are combinatorial characterisations for (i) frameworks restricted to surfaces with both Euclidean and geodesic distance constraints, (ii) frameworks in the plane with Euclidean and non-Euclidean distance constraints, and (iii) direction-length frameworks in the non-Euclidean plane.