Synopsis
Introduction to symmetry and regularity.- Introduction to graph theory and algebraic graph theory.- Graph products and configuration processing.- Canonical forms, basic definitions and properties.- Canonical forms for combinatorial optimization; nodal ordering and graph partitioning.- Graph products for ordering and graph partitioning.- Canonical forms applied to structural mechanics.- Graph products applied to the analysis of regular structures.- Graph products applied to locally modified regular structures by direct methods.- Graph products applied to regular and locally modified regular structures by iterative methods.- Group theory and applications in structural mechanics.- Graph-group method for the analysis of symmetric regular structures.
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