Chordal graphs play a central role in techniques for exploiting sparsity in large semidefinite optimization problems, and in related convex optimization problems involving sparse positive semidefinite matrices. Chordal graph properties are also fundamental to several classical results in combinatorial optimization, linear algebra, statistics, signal processing, machine learning, and nonlinear optimization. Chordal Graphs and Semidefinite Optimization covers the theory and applications of chordal graphs, with an emphasis on algorithms developed in the literature on sparse Cholesky...