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DCフィールド | 値 | 言語 |
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dc.contributor.author | Schulze, Bernd | en |
dc.contributor.author | Tanigawa, Shin-ichi | en |
dc.contributor.alternative | 谷川, 眞一 | ja |
dc.date.accessioned | 2015-12-16T05:27:38Z | - |
dc.date.available | 2015-12-16T05:27:38Z | - |
dc.date.issued | 2015-07-16 | - |
dc.identifier.issn | 0895-4801 | - |
dc.identifier.uri | http://hdl.handle.net/2433/202617 | - |
dc.description.abstract | We propose new symmetry-adapted rigidity matrices to analyze the infinitesimal rigidity of bar-joint frameworks of arbitrary-dimension with Abelian point group symmetries. These matrices define new symmetry-adapted rigidity matroids on group-labeled quotient graphs. Using these new tools, we establish combinatorial characterizations of infinitesimally rigid two-dimensional bar-joint frameworks whose joints are positioned as generically as possible subject to the symmetry constraints imposed by a reflection, a half-turn, or a threefold rotation in the plane. For bar-joint frameworks which are generic with respect to any other cyclic point group in the plane, we provide a number of necessary conditions for infinitesimal rigidity. | en |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Society for Industrial and Applied Mathematics | en |
dc.rights | © 2015, Society for Industrial and Applied Mathematics | en |
dc.title | Infinitesimal Rigidity of Symmetric Bar-Joint Frameworks | en |
dc.type | journal article | - |
dc.type.niitype | Journal Article | - |
dc.identifier.ncid | AA10701131 | - |
dc.identifier.jtitle | SIAM Journal on Discrete Mathematics | en |
dc.identifier.volume | 29 | - |
dc.identifier.issue | 3 | - |
dc.identifier.spage | 1259 | - |
dc.identifier.epage | 1286 | - |
dc.relation.doi | 10.1137/130947192 | - |
dc.textversion | publisher | - |
dcterms.accessRights | open access | - |
出現コレクション: | 学術雑誌掲載論文等 |
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