Ising machines as hardware solvers of combinatorial optimization problems
Ising machines are hardware solvers that aim to find the absolute or approximate ground
states of the Ising model. The Ising model is of fundamental computational interest because …
states of the Ising model. The Ising model is of fundamental computational interest because …
A tutorial on the design, experimentation and application of metaheuristic algorithms to real-world optimization problems
In the last few years, the formulation of real-world optimization problems and their efficient
solution via metaheuristic algorithms has been a catalyst for a myriad of research studies. In …
solution via metaheuristic algorithms has been a catalyst for a myriad of research studies. In …
[PDF][PDF] Introduction to the Theory of Computation
M Sipser - ACM Sigact News, 1996 - dl.acm.org
Automata, Computability, and Complexity 1/Complexity theory 2/Computability theory
2/Automata theory 3/Mathematical Notions and Terminology 3/Sets 3/Sequences and tuples …
2/Automata theory 3/Mathematical Notions and Terminology 3/Sets 3/Sequences and tuples …
[BOOK][B] Computational complexity: a modern approach
This beginning graduate textbook describes both recent achievements and classical results
of computational complexity theory. Requiring essentially no background apart from …
of computational complexity theory. Requiring essentially no background apart from …
Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming
We present randomized approximation algorithms for the maximum cut (MAX CUT) and
maximum 2-satisfiability (MAX 2SAT) problems that always deliver solutions of expected …
maximum 2-satisfiability (MAX 2SAT) problems that always deliver solutions of expected …
[BOOK][B] Fundamentals of parameterized complexity
RG Downey, MR Fellows - 2013 - Springer
Parameterized complexity/multivariate complexity algorithmics is an exciting field of modern
algorithm design and analysis, with a broad range of theoretical and practical aspects that …
algorithm design and analysis, with a broad range of theoretical and practical aspects that …
From the quantum approximate optimization algorithm to a quantum alternating operator ansatz
The next few years will be exciting as prototype universal quantum processors emerge,
enabling the implementation of a wider variety of algorithms. Of particular interest are …
enabling the implementation of a wider variety of algorithms. Of particular interest are …
A tutorial on the cross-entropy method
The cross-entropy (CE) method is a new generic approach to combinatorial and multi-
extremal optimization and rare event simulation. The purpose of this tutorial is to give a …
extremal optimization and rare event simulation. The purpose of this tutorial is to give a …
A threshold of ln n for approximating set cover
U Feige - Journal of the ACM (JACM), 1998 - dl.acm.org
Given a collection ℱ of subsets of S={1,…, n}, set cover is the problem of selecting as few as
possible subsets from ℱ such that their union covers S,, and max k-cover is the problem of …
possible subsets from ℱ such that their union covers S,, and max k-cover is the problem of …
[BOOK][B] Combinatorial optimization
BH Korte, J Vygen, B Korte, J Vygen - 2011 - Springer
Let us start with two examples. A company has a machine which drills holes into printed
circuit boards. Since it produces many of these boards it wants the machine to complete one …
circuit boards. Since it produces many of these boards it wants the machine to complete one …