Combinatorial optimization is a subfield of mathematical optimization that consists of finding an optimal object from a finite set of objects, where the...

Quantum optimization algorithms are quantum algorithms that are used to solve optimization problems. Mathematical optimization deals with finding the best...

analogies between counting and measure. Combinatorial optimization is the study of optimization on discrete and combinatorial objects. It started as a part of...

Discrete optimization is a branch of optimization in applied mathematics and computer science. As opposed to continuous optimization, some or all of the...

science and economics, an optimization problem is the problem of finding the best solution from all feasible solutions. Optimization problems can be divided...

In mathematical optimization theory, duality or the duality principle is the principle that optimization problems may be viewed from either of two perspectives...

stochastic optimization, so that the solution found is dependent on the set of random variables generated. In combinatorial optimization, there are many...

by using another overlaying optimizer, a concept known as meta-optimization, or even fine-tuned during the optimization, e.g., by means of fuzzy logic...

citation networks, molecular biology, chemistry, physics and NP-hard combinatorial optimization problems. Open source libraries implementing GNNs include PyTorch...

possible. Local search is a sub-field of: Metaheuristics Stochastic optimization Optimization Fields within local search include: Hill climbing Simulated annealing...

A Tutorial on Integer Programming Conference Integer Programming and Combinatorial Optimization, IPCO The Aussois Combinatorial Optimization Workshop...

unconstrained binary optimization (QUBO), also known as unconstrained binary quadratic programming (UBQP), is a combinatorial optimization problem with a wide...

Convex hulls have wide applications in mathematics, statistics, combinatorial optimization, economics, geometric modeling, and ethology. Related structures...

generally divided into two subfields: discrete optimization and continuous optimization. Optimization problems arise in all quantitative disciplines from...

and returns to the origin city?" It is an NP-hard problem in combinatorial optimization, important in theoretical computer science and operations research...

Alexander (2003), Combinatorial Optimization, Springer, ISBN 3-540-44389-4 Lee, Jon (2004), A First Course in Combinatorial Optimization, Cambridge University...

Convex optimization is a subfield of mathematical optimization that studies the problem of minimizing convex functions over convex sets (or, equivalently...

the principle of indifference. They also have applications in combinatorial optimization and in analyzing the pattern of frequencies in the hydrogen spectral...

fields. Matroids have found applications in geometry, topology, combinatorial optimization, network theory, and coding theory. There are many equivalent...

numerous optimization tasks involving some sort of graph, e.g., vehicle routing and internet routing. As an example, ant colony optimization is a class...

The knapsack problem is the following problem in combinatorial optimization: Given a set of items, each with a weight and a value, determine which items...

Jünger, Michael; Reinelt, Gerhard (1988). "An Application of Combinatorial Optimization to Statistical Physics and Circuit Layout Design". Operations...

algorithm design paradigm for discrete and combinatorial optimization problems, as well as mathematical optimization. A branch-and-bound algorithm consists...

the article on matching polynomials. A fundamental problem in combinatorial optimization is finding a maximum matching. This problem has various algorithms...

geometry, combinatorial optimization, digital geometry, discrete differential geometry, geometric graph theory, toric geometry, and combinatorial topology...

Probabilistic combinatorics Topological combinatorics Coding theory Combinatorial optimization Combinatorics and dynamical systems Combinatorics and physics...

The assignment problem is a fundamental combinatorial optimization problem. In its most general form, the problem is as follows: The problem instance has...

Submodular and supermodular set functions are also studied in combinatorial optimization. Many of the results in (Shapley 1971) have analogues in (Edmonds...

Kenneth Steiglitz (1998). "6.1 The Max-Flow, Min-Cut Theorem". Combinatorial Optimization: Algorithms and Complexity. Dover. pp. 120–128. ISBN 0-486-40258-4...

completing a doctoral dissertation titled "The complexity of combinatorial optimization problems." Papadimitriou has taught at Harvard, MIT, the National...