computational problem
problem of finding an effective algorithm which solves a given problem
set packing
classic computing problem
vertex cover problem
set of vertices incident on every edge
shortest path problem
problem of finding a path between two vertices (or nodes) in a graph such that the sum of the weights of its constituent edges is minimized
subset sum problem
decision problem in computer science
AI-complete
term describing difficult problems in AI
dominating set
a set of vertices in a node-link graph such that every vertex is either in the set or adjacent to it
decision problem
yes/no problem in computer science
program synthesis
task to construct a program that provably satisfies a given high-level formal specification
ALL
class of all decision problems
learning with errors
problem in machine learning that is conjectured to be hard to solve. Introduced by Oded Regev in 2005, it is a generalization of the parity learning problem
traveling purchaser problem
NP-hard problem generalizing the traveling salesman problem
maximum cardinality matching
a graph theory problem
graph partition
subdivision of vertices into disjoint sets
R
set of all total computable functions
partition problem
NP-complete problem in computer science
division
arithmetic operation; one of the four basic operations of arithmetic (others being addition, subtraction, multiplication).The division of two natural numbers is the process of calculating the number of times one number is contained within one another
producer-consumer problem
family of computing problems
feedback vertex set
a set of vertices in a node-link graph whose deletion eliminates all cycles in the graph
complete coloring
graph coloring in which each color pair is represented by an edge of the graph
bipartite dimension
intrinsic property of undirected graphs
graph sandwich problem
problem of finding a graph that belongs to a particular family of graphs and is "sandwiched" between two other graphs, one of which must be a subgraph and the other of which must be a supergraph of the desired graph
k-minimum spanning tree problem
computational problem
Integer sorting
algorithmic problem of sorting a collection of data values by numeric keys, each of which is an integer
vertex cycle cover
problem of finding a set of cycles that contain all vertices
wildcard matching
checking whether a string matches a wildcard pattern
longest common subsequence problem
the problem of finding a sequence that is a subsequence of each of a given set of sequences and is as long as possible
RE
complexity class
optimization problem
problems involving the selection of an optimal element from sets of available alternatives
clique problem
computational problem of finding cliques in a graph
PP
complexity class
statistical classification
problem of identifying to which of a set of categories (sub-populations) a new observation belongs, on the basis of a training set of data containing observations (or instances) whose category membership is known
Steiner tree problem
class of problems in combinatorial mathematics
lowest common ancestor
term in computer science
Lattice reduction
given an integer lattice basis as input, to find a basis with short, nearly orthogonal vectors
vehicle rescheduling problem
transportation and logistics optimization problem
maximum independent set problem
problem to find an independent set of graph vertices of maximal size
Graph matching
problem of finding similarity between graphs
zero-weight cycle problem
deciding whether a digraph has a cycle whose edge weights sum to 0
vehicle routing problem
combinatorial optimization problem about the optimal set of routes for a fleet of vehicles to traverse in order to deliver to a given set of customers
set cover problem
classical problem in combinatorics
closest string
computational problem which tries to find the geometrical center of a set of input strings
P/poly
complexity class of languages recognized by a polynomial-time Turing machine with a polynomial-bounded advice function
set balancing
computational problem
cycle detection
algorithmic problem
differential equation
mathematical equation involving derivatives of an unknown function
square root
inverse operation of square for finding the original base number