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 …
Semidefinite programming and integer programming
This chapter surveys how semidefinite programming can be used for finding good
approximative solutions to hard combinatorial optimization problems. The chapter begins …
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 …
science. They also arise in other areas of mathematics, including combinatorics, statistical …
[图书][B] Handbook of satisfiability
“Satisfiability (SAT) related topics have attracted researchers from various disciplines: logic,
applied areas such as planning, scheduling, operations research and combinatorial …
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 …
optimization, ie to the optimization of set functions represented by closed algebraic …
Expander flows, geometric embeddings and graph partitioning
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) …
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 …
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 …
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 …
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 …
an exciting new branch of mathematical programming, due to important applications in …