Titlebook: Integer Programming and Combinatorial Optimization; 22nd International C Mohit Singh,David P. Williamson Conference proceedings 2021 Spring

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Complexity, Exactness, and Rationality in Polynomial Optimization,e show that, under some separability conditions, certain cubic polynomially constrained sets admit rational solutions. However, we show in other cases that it is NP Hard to detect if rational solutions exist or if they exist of any reasonable size. Lastly, we show that in fixed dimension, the feasib

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A Finite Time Combinatorial Algorithm for Instantaneous Dynamic Equilibrium Flows,ly select en route currently shortest paths towards their destination. We analyze IDE within the Vickrey bottleneck model, where current travel times along a path consist of the physical travel times plus the sum of waiting times in all the queues along a path. Although IDE have been studied for dec

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A Combinatorial Algorithm for Computing the Degree of the Determinant of a Generic Partitioned Polyial matrix) ., where . is a . matrix over a field ., . is an indeterminate, and . is an integer for ., and . is an additional indeterminate. This problem can be viewed as an algebraic generalization of the maximum perfect bipartite matching problem..The main result of this paper is a combinatorial .

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On the Implementation and Strengthening of Intersection Cuts for QCQPs,tudied tool in integer programming whose flexibility has triggered these renewed efforts in non-linear settings. In this work, we consider intersection cuts using the recently proposed construction of .. Using these sets, we derive closed-form formulas to compute intersection cuts which allow for qu

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