Minimal cycle basis of graph products for the force method of frame analysis

DOI10.1002/cnm.979zbMath1159.70344OpenAlexW2003801558MaRDI QIDQ3523987

Ali Kaveh, Reza Mirzaie

Publication date: 8 September 2008

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.979

zbMATH Keywords

graph productsforce methodlexicographicCartesianminimal cycle basissparse flexibility matricesstrong Cartesian

Mathematics Subject Classification ID

Paths and cycles (05C38) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Statics (70C20)

Cites Work

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• Suboptimal cycle bases of graphs for the flexibility analysis of skeletal structures
• Improved cycle bases for the flexibility analysis of structures
• Sparse self-stress matrices for the finite element force method
• On computational procedures for the force method
• On optimal cycle bases of graphs for mesh analysis of networks
• A Polynomial-Time Algorithm to Find the Shortest Cycle Basis of a Graph
• Revised Greedy algorithm for formation of a minimal cycle basis of a graph
• Cyclicity of graphs
• A unified method for eigendecomposition of graph products
• A Problem in Applied Topology: on the Selection of Cycles for the Flexibility Analysis of Skeletal Structures

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