Titlebook: Integer Programming and Combinatorial Optimization; 23rd International C Karen Aardal,Laura Sanità Conference proceedings 2022 Springer Nat

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,Faster Connectivity in?Low-Rank Hypergraphs via?Expander Decomposition,erms that are subpolynomial in the main parameter and terms that depend only on .) time algorithm for computing hypergraph connectivity, where . is the input size of the hypergraph, . is the number of vertices, . is the rank (size of the largest hyperedge), and . is the connectivity of the input hyp

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,Sparse Multi-term Disjunctive Cuts for?the?Epigraph of?a?Function of?Binary Variables,y many disjunctive terms obtained by enumerating a subset . of the binary variables. We show that by restricting the support of the cut to the same set of variables ., a cut can be obtained by solving a linear program with . constraints. While this limits the size of the set . used to define the mul

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A 2-Approximation for the Bounded Treewidth Sparsest Cut Problem in , Time,cut of . that minimizes the ratio of the total capacity on the edges of . crossing the cut over the total demand of the crossing edges of .. In this work, we study the non-uniform sparsest cut problem for supply graphs with bounded treewidth .. For this case, Gupta, Talwar and Witmer [STOC 2013] obt

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On Circuit Diameter Bounds via Circuit Imbalances, We show that the circuit diameter of a system . for . is bounded by ., where . is the circuit imbalance measure of the constraint matrix. This yields a strongly polynomial circuit diameter bound if e.g., all entries of . have polynomially bounded encoding length in .. Further, we present circuit au

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Simple Odd ,-Cycle Inequalities for Binary Polynomial Optimization,ycle inequalities valid for this polytope, showed that these generally have Chvátal rank?2 with respect to the standard relaxation and that, together with flower inequalities, they yield a perfect formulation for cycle hypergraph instances. Moreover, they describe a separation algorithm in case the