paper

A counter-example to Baranyai's combinatorial characterisation for 3-rigidity

arXiv:2601.19460

Abstract

Recently Baranyai described a necessary combinatorial characterisation of graph rigidity for dimension 3. In this short note we provide a counter-example to the converse of the condition. Additionally, we provide an alternative proof to the Baranyai's necessary condition.

8 pages

A counter-example to Baranyai's combinatorial characterisation for 3-rigidity · wovepaper