ABSTRACT
In this paper the complete collection of 12 link, 1-degree of freedom category of simple jointed kinematic chains (SJKCs) consisting of 6856 distinct chains are studied with an attempt to assess the efficacy of the characteristic polynomial based approaches using the link-adjacency, degree and structural matrix representations of kinematic chains for the detection of structural isomorphism amongst chains. All the cospectral pairs and triplets of kinematic chains where the isomorphism test failed to distinguish are reported in the form of a concise notation developed by the author for the purpose of documentation.
