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