Structure Theorems for Optimum Hyperpaths in Directed Hypergraphs -- Branch-and-Price Guided -- The New Faces of Combinatorial Optimization -- Models and Algorithms for the Train Unit Assignment Problem -- The Minimum Stabbing Triangulation Problem: IP Models and Computational Evaluation -- Using Symmetry to Optimize over the Sherali-Adams Relaxation -- A Second-Order Cone Programming Approximation to Joint Chance-Constrained Linear Programs -- Semidefinite Relaxations for Mixed 0-1 Second-Order Cone Program -- The Non-Disjoint m-Ring-Star Problem : Polyhedral Results and SDH/SONET Network Design.-The Uncapacitated Asymmetric Traveling Salesman Problem with Multiple Stacks -- Polyhedral Analysis and Branch-and-Cut for the Structural Analysis Problem -- Extended Formulations, Nonnegative Factorizations, and Randomized Communication Protocols -- An Algebraic Approach to Symmetric Extended Formulations -- Dual Consistent Systems of Linear Inequalities and Cardinality Constrained Polytopes -- Minimum Ratio Cover of Matrix Columns by Extreme Rays of Its Induced Cone.-The Uncapacitated Asymmetric Traveling Salesman Problem with Multiple Stacks -- Polyhedral Analysis and Branch-and-Cut for the Structural Analysis Problem -- Extended Formulations, Nonnegative Factorizations, and Randomized Communication -- An Algebraic Approach to Symmetric Extended.-On the Hop Constrained Steiner Tree Problem with Multiple Root.-Structure Theorems for Optimum Hyperpaths in Directed Hypergraphs -- A Second-Order Cone Programming Approximation to Joint Chance-Constrained Linear Programs.-Extended Formulations, Nonnegative Factorizations, and Randomized Communication -- An Algebraic Approach to Symmetric Extended.-Gap Inequalities for the Max-Cut Problem: A Cutting-Plane Algorithm.