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Graph theory has become important in science and engineering through its strong links with matrix algebra and computer science. Moreover, the structure of the mathematics is well suited to the structure of the engineering problem in structural analysis and design. In this book graph theoretical methods and meta-heuristic algorithms are detailed for structural analysis and finite element models. Efficient methods are presented leading to highly sparse and banded structural matrices. The main features of the book are as follows: application of graph theory for efficient analysis; extension of the force method to finite element analysis; application of meta-heuristic algorithms to ordering (sparse matrix technology); efficient use of symmetry and regularity in structural analysis by force method; simultaneous analysis and design of structures.