Symmetry adapted Assur decompositions

A Nixon, B Schulze, A Sljoka, W Whiteley - Symmetry, 2014 - mdpi.com
… the orbit matrix as a symmetry adapted form of the rigidity … the decomposition and analysis
of symmetric frameworks and their symmetric motions can be supported by the new symmetry

Assur Decompositions of Direction-Length Frameworks

A Nixon - Graphs and Combinatorial Optimization: from Theory to …, 2021 - Springer
Assur decomposition of a DL-framework. Section 4 discusses drivers. In particular we show
which components of the Assur decomposition … how the Assur decomposition changes when …

Synthesis of Assur groups via group and matroid theory

FV Morlin, AP Carboni, D Martins - Mechanism and Machine Theory, 2023 - Elsevier
The aim of this paper is to present a systematic approach for the structural synthesis of Assur
groups from Baranov chains, based on group theory. An Assur group can be represented …

[HTML][HTML] Combinatorial characterization of the Assur graphs from engineering

B Servatius, O Shai, W Whiteley - European Journal of Combinatorics, 2010 - Elsevier
… the generation of Assur graphs and the decomposition of linkages into Assur graphs, at the
… into Assur graphs, as well as for generating all Assur graphs (Sections 3.2 Decomposition of …

Applications of Constraint Graphs and Assur Groups in Mechanism Analysis and Synthesis

E Hahn, A Sljoka, A Mueller - … and Information in …, 2017 - asmedigitalcollection.asme.org
decomposition of a graph representing a linkage into Assur graphs goes a further step compare
to the standard decomposition … pinned linkage into smaller Assur components, and then …

Combinatorial method for checking stability in tensegrity structures

D Cahan, O Shai - International Design Engineering …, 2015 - asmedigitalcollection.asme.org
… rigid determinate structure, named Assur Graph, then there is a … of Assur Graphs, in particular
their singular positions. It is proved that from all the determinate structures only the Assur

Simplifications in the generation and transformation of two‐electron integrals in molecular calculations

NHF Beebe, J Linderberg - International Journal of Quantum …, 1977 - Wiley Online Library
… advantageously choose to symmetry adapt the basis from the … , we drop symmetry indices
and write the decomposition (23) … However, we do not have assurance that only a limited …

[PDF][PDF] Symmetric-acyclic decompositions of networks

P Doreian, V Batagelj, A Ferligoj - Journal of Classification, 2000 - vlado.fmf.uni-lj.si
… While we report measures of fit, we do not have an assurance that the structure we have
described as a ranked clusters model really is a ranked clusters model. Ideally, we need some …

Combinatorial characterization of the Assur graphs from engineering

B Servatius, O Shai, W Whiteley - arXiv preprint arXiv:0801.2525, 2008 - arxiv.org
… the generation of Assur graphs and the decomposition of linkages into Assur graphs, at
the … general linkages into Assur graphs, as well as for generating all Assur graphs (§3.2-3.3). …

A novel ECG data compression method using adaptive fourier decomposition with security guarantee in e-health applications

JL Ma, TT Zhang, MC Dong - IEEE journal of biomedical and …, 2014 - ieeexplore.ieee.org
… compression method based on an adaptive Fourier decomposition (AFD) algorithm … signals
decomposition in HardyH2 and Hilbert L2 space [20]. This study is the first attempt to adapt