From the quantum approximate optimization algorithm to a quantum alternating operator ansatz

S Hadfield, Z Wang, B O'gorman, EG Rieffel… - Algorithms, 2019 - mdpi.com
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 …

Semidefinite programming and integer programming

M Laurent, F Rendl - Handbooks in Operations Research and Management …, 2005 - Elsevier
This chapter surveys how semidefinite programming can be used for finding good
approximative solutions to hard combinatorial optimization problems. The chapter begins …

[图书][B] Analysis of boolean functions

R O'Donnell - 2014 - books.google.com
Boolean functions are perhaps the most basic objects of study in theoretical computer
science. They also arise in other areas of mathematics, including combinatorics, statistical …

[图书][B] Handbook of satisfiability

A Biere, M Heule, H van Maaren - 2009 - books.google.com
“Satisfiability (SAT) related topics have attracted researchers from various disciplines: logic,
applied areas such as planning, scheduling, operations research and combinatorial …

[HTML][HTML] Pseudo-boolean optimization

E Boros, PL Hammer - Discrete applied mathematics, 2002 - Elsevier
This survey examines the state of the art of a variety of problems related to pseudo-Boolean
optimization, ie to the optimization of set functions represented by closed algebraic …

Expander flows, geometric embeddings and graph partitioning

S Arora, S Rao, U Vazirani - Journal of the ACM (JACM), 2009 - dl.acm.org
We give a O (√ log n)-approximation algorithm for the sparsest cut, edge expansion,
balanced separator, and graph conductance problems. This improves the O (log n) …

[图书][B] Boolean functions: Theory, algorithms, and applications

Y Crama, PL Hammer - 2011 - books.google.com
Written by prominent experts in the field, this monograph provides the first comprehensive,
unified presentation of the structural, algorithmic and applied aspects of the theory of …

MaxSAT, hard and soft constraints

CM Li, F Manya - Handbook of satisfiability, 2021 - ebooks.iospress.nl
MaxSAT solving is becoming a competitive generic approach for solving combinatorial
optimization problems, partly due to the development of new solving techniques that have …

[图书][B] Handbook of approximation algorithms and metaheuristics

TF Gonzalez - 2007 - taylorfrancis.com
Delineating the tremendous growth in this area, the Handbook of Approximation Algorithms
and Metaheuristics covers fundamental, theoretical topics as well as advanced, practical …

[图书][B] Aspects of semidefinite programming: interior point algorithms and selected applications

E De Klerk - 2006 - books.google.com
Semidefinite programming has been described as linear programming for the year 2000. It is
an exciting new branch of mathematical programming, due to important applications in …