Graph coloration and group theory for factorization of symmetric dynamic systems

DOI10.1007/s00707-006-0414-8zbMath1121.70015OpenAlexW2043870117MaRDI QIDQ2385317

Yanyan Li

Publication date: 12 October 2007

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-006-0414-8

zbMATH Keywords

spectrumLaplacian matrixweighted directed graph

Mathematics Subject Classification ID

Applications of graph theory (05C90) Systems arising from the discretization of structural vibration problems (70J50)

Related Items (3)

Canonical forms for symmetric and regular structures ⋮ Group-theoretic method for forced vibration analysis of symmetric structures ⋮ Group-theoretic method for efficient buckling analysis of prestressed space structures

Cites Work

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• On spectral characterization and embeddings of graphs
• Block-diagonalization analysis of symmetric plates
• Buckling load of symmetric plane frames using canonical forms and group theory
• Eigensolutions for factorable matrices of special patterns
• Eigensolutions for matrices of special structures

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