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We give a complete characterization of universally rigid one-dimensional bar-and-joint frameworks in general position with a complete bipartite underlying graph. We also discuss several open questions concerning generically universally rigid graphs and the universal rigidity of general frameworks on the line.
Bibtex entry:
| AUTHOR | = | {Jord{\'a}n, Tibor and Nguyen, Viet-Hang}, |
| TITLE | = | {On universally rigid frameworks on the line}, |
| NOTE | = | {{\tt egres.elte.hu}}, |
| INSTITUTION | = | {Egerv{\'a}ry Research Group, Budapest}, |
| YEAR | = | {2012}, |
| NUMBER | = | {TR-2012-10} |