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On the supermodular knapsack problem

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Mathematical Programming
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Complexity of Computer Computations
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Reducibility among Combinatorial Problems
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Boolean Methods in Operations Research and Related Areas
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Geometric Algorithms and Combinatorial Optimization
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An analysis of approximations for maximizing submodular set functions—I
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The ellipsoid method and its consequences in combinatorial optimization
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Quadratic knapsack problems
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Maximizing a supermodular pseudoboolean function: A polynomial algorithm for supermodular cubic functions
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Nonlinear programming: theory and algorithms
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Quasimonotone Boolean Functions and Bistellar Graphs
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Nonlinear Programming -- Theory and Algorithms
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A new approach to the maximum flow problem
inferredcites →https://doi.org/10.1287/opre.26.2.305openalex-snapshot
Minimizing a Submodular Function on a Lattice
inferredcites →https://doi.org/10.6028/nbs.ir.75-737openalex-snapshot
Mathematical methods of site selection for electronic message systems (EMS)

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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A Polynomial Algorithm for a Class of 0–1 Fractional Programming Problems Involving Composite Functions, with an Application to Additive Clustering
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Classes of Submodular Constraints Expressible by Graph Cuts
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Expressibility of Submodular Languages
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Valid inequalities and facets for a hypergraph model of the nonlinear knapsack and the FMS part selection problems
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Several versions of the devour digest tidy-up heuristic for unconstrained binary quadratic problems
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Global Optimality Conditions and Optimization Methods for Quadratic Knapsack Problems
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A branch-and-bound algorithm for multi-dimensional quadratic 0–1 knapsack problems
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Linear programming for the 0–1 quadratic knapsack problem
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Lagrangean methods for the 0–1 Quadratic Knapsack Problem
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Efficient minimization of higher order submodular functions using monotonic Boolean functions
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The submodular knapsack polytope
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Knapsack problems with dependencies through non-additive measures and Choquet integral
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A fast and effective breakpoints heuristic algorithm for the quadratic knapsack problem
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Decentralised dispatch of distributed energy resources in smart grids via multi-agent coalition formation
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Approximability issues for unconstrained and constrained maximization of half-product related functions
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A three-level supply chain network design model with risk-pooling and lead times
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The quadratic 0–1 knapsack problem with series–parallel support
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Combinatorial optimization models for production scheduling in automated manufacturing systems
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A Bibliographical Survey On Some Well-Known Non-Standard Knapsack Problems
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A note on semidefinite relaxation for 0-1 quadratic knapsack problems
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Single-Facility Resource Allocation Under Capacity-Based Economies and Diseconomies of Scope
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Sum of Squares Submodularity
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Формалізація постановок задач про укладання туристичного ранця та алгоритми їх розв'язання
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Dynamic Scheduling Algorithm for Data Relay Services in Next-Generation TDRS Systems
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Urban Bike Lane Planning with Bike Trajectories: Models, Algorithms, and a Real-World Case Study
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Algorithmic and complexity results for boolean and pseudo-boolean functions
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