Index

A

anti-Horn

a priori optimization

a priori solution

acyclic permutation

affine

algorithm

approximation

based on 2-matching and matching

based on the spanning tree

based on the spanning tree and matching

best insertion

best partial tour

branch-and-bound

branch-and-cut

competitive

constructive

dynamic programming

exact

greedy

list

list update

minimax algorithms

nearest neighbor

on-line

2-opt

polynomial

polynomial approximation scheme

pseudo-polynomial

separation

algorithmic geometry

approximate tour

val(T)

approximation schemes

classical

differential

APX

APX-complete

assignment

balanced

assignment problem

availability

B, C

bijunctive

bipartition

Boolean variable

branch-and-bound

evaluation

pruning

strategy

chess programs

chromatic number

bounded

interval

list

mixed

T- 290

chromatic scheduling

chromatographic number

class

NP

P

PLS

clause

closing

coalition

coloring

probabilistic

combinatorial optimization problem

competitive ratio

complete approximation scheme

classical

differential

complexity

linear

pseudo-polynomial

concave function

congestion

model

constraint propagation

convex envelope

convex function

convex set

convexification

counting problem

covering (problem)

cumulative constraint

cuts

cone

D, E

DAPX

decidability

decision trees

deepest descent

DFPTAS

differential ratio

discrete scenario model

distance

dominance

dominated paths

DPTAS

dual approximate solution

due date

dynamic programming

dominance

edge coloring

edge finding

efficiency value

eigenvalue

energetic reasoning

equilibrium

ε-approximate Nash

mixed Nash

Nash

polynomial

pure Nash

strong

Eulerian graph

evaluative inverse problem

even bipartition

EWGLA

exact methods

2-exchange

exhaustive search

EXPP

Exp-APX

Exp-DAPX

exploration

hybrid

implicit

tree search

facet

facility location

feasible solution

finite improvement property

first descent

fixed point

flow

F, G, H

FNP

FPTAS

function

potential

functional

games

concave

congestion

cooperative

coordination

defined on a graph

exact potential

fictive

isomorphism

mixed extension

network congestion

non-cooperative

ordinal potential

potential

quasi-concave

symmetric with two players

theory

transformation

weighted potential

zero sum two player

glass

spin

global constraints

graph

neighborhood

transition

coloring

coloring extension

Hamiltonian cycle

hard capacities (problem with)

heuristics

greedy

Lagrangian

local search

hierarchical optimality

hub (problem with)

hybrid method

hypergraph coloring

I, K, L

improvement procedure

inapproximability

incoming cocycle

incomparable solutions

increasing chain

independence of irrelevant choices

influence graph

instances

bounded number of occurrences

dense

0 or 1 homogenous

planar

interior product

interval model

inverse combinatorial optimization problem

inverse facility location

INV1-FL

INV1-LC

inverse maximum weight matching

inverse maximum weight perfect

matching

inverse maximum weight stable set

inverse minimum capacity cut

inverse problem constraints

Kleene star

knapsack problem

concave separable integer quadratic

multi-knapsack

quadratic

quadratic multi-knapsack

Lagrangian relaxation

landscape theory

language

level packing

linear assignment

linear space

linearization

list updating

literal

load balancing problem

local optimum

local search

non-oblivious

standard

location

Log-APX

Log-DAPX

LOLA

lower bounds

M, N, O

matching

maximal

maximal weight perfect

maximum

maximum weight

maximum weight perfect

minimal weight perfect

perfect

f-matching

2-matching

k-restrained

maximal weight perfect

perfect

mathematical models

matrix

doubly stochastic

eigenvalues

Kronecker product

trace

MAX BIPARTITE INDUCED SUBGRAPH

maximum independent set

maximum regret criterion

maximum weight stable set

MAX STABLE set

PROBABILISTIC

median

metaheuristics

metric instance

minimum capacity cut

modification strategy

neighborhood

exact

Fiduccia–Mattheyses

flip

Kernighan–Lin

MAX SAT

2-opt

k-opt

structure

swap

network center

neural network

NEXP

nominal value

non-concave problem

non-pre-emptive

norm

LP

NP problems

complete

hard

NPO problems

complete

objective function

optimal tour

optMAX TSP(I)

optMIN TSP(I)

optimality

minmax

Pareto

optimum

global

local

ε-local

ordinal potential

P

paging

Pareto

curve

frontier

optimality

set

stability

partial inverse problem

path

payoff function

PLS

complete

α-point

Poly-APX

Poly-DAPX

polytope

cut

potential

ω

generalized ordinal

PPAD

pre-emptive

precedence graph

preference

strict

preprocessing

prisoner’s dilemma

probabilistic combinatorial optimization

probabilistic longest path

in the number of edges

in the number of vertices

probabilistically checkable proofs

problems

approximable

bicriteria

BIN PACKING

CAPACITY ALLOCATION

CIRCUIT/flip

COLOR SAVING

concave

3-DIMENSIONAL MATCHING

END OF THE LINE

Euclidean MIN TSP

FACILITY LOCATION

GRAPH PARTITIONING

INDEPENDENT SET

k-DENSEST SUBGRAPH

k-LIGHTEST SUBGRAPH

k-MEANS CLUSTERING

k-MEDIAN

k-SET COVER

LIN2

LONGEST PATH

MAX-CONJ

MAX-CUT

maximin

MAX LIN2

MAX MULTI-CUT

MAX-SAT

MAX-2SAT

MAX-3SAT

MAX-SNP

MAX VARIABLE-WSAT

MAX TSP

METRIC LABELING

MIN COLORING

MIN CUT

MIN G-TRANSVERSAL

MIN H-TRANSVERSAL

minimax

MIN LIN2 DELETION

MIN METRIC TSP

MIN SAT DELETION

MIN 2SAT

MIN TSP

MIN VARIABLE-WSAT

MIN VARIABLE-W3SAT

2-monotone

multiflow

neural network

non-concave

on-line

packing

p-center

p-dispersion

p-maximum

p-median

POS NAE MAX-3SAT

P problems

PROBABILISTIC COLORING

PROBABILISTIC MAX STABLE

PROBABILISTIC MIN TSP

quadratic

quadratic assignment

SAT

separable

separation

traveling salesman

0 or 1-valid

VERTEX COVER

WEIGHTED MAX STABLE

worMAX TSP(I)

worMIN TSP(I)

programming

linear

MAX 0–1 linear

MIN 0–1 transversal

primal–dual

quadratic

semi-definite

PTAS

Q, R

quadratic functions

quadratic problems

in 0–1 variables

quasi-concave function

quasi-convex function

randomized on-line algorithms

reduction

AF-

affine

AP-

C-

continuous

FO-

L-

S-

polynomial

strict

relaxation

eigenvalues

Lagrangian

linear

orthogonal

quadratic

semi-definite

resource allocation function

robust solution

rule of choice

S, T

satisfiability

scheduling

search

alternate

hybrid

shortest path

situation

attainable

optimal

social welfare

soft capacities (problem with)

SOLA

solution

neighboring

solution methods

approximate

exact

sort

k-best

complete

Quicksort

spanning tree

minimal weight

stability number

stable set

standard ratio

Steiner trees

strategy

mixed

pure

task

TF

TFNP

total problem

triangular inequality

Turing machine

two-dimensional packing

upper bounds

utility theory

value

objective

optimal

worst

variable fixing

vertex covering

Voronoi diagram

worst tour

worst-case criterion