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Graph algorithm
Kosaraju's algorithm and the path-based strong component algorithm. The algorithm is named for its inventor, Robert Tarjan. The algorithm takes a directed
Tarjan's strongly connected components algorithm
Tarjan's_strongly_connected_components_algorithm
Graph algorithm
In graph theory, the strongly connected components of a directed graph may be found using an algorithm that uses depth-first search in combination with
Path-based strong component algorithm
Path-based_strong_component_algorithm
Partition of a graph whose components are reachable from all vertices
off the stack into a new component. The path-based strong component algorithm uses a depth-first search, like Tarjan's algorithm, but with two stacks. One
Strongly_connected_component
Method of finding a directed graph's strongly connected components
Kosaraju-Sharir's algorithm (also known as Kosaraju's algorithm) is a linear time algorithm to find the strongly connected components of a directed graph
Kosaraju's_algorithm
clique algorithm: find a maximum clique in an undirected graph Strongly connected components Kosaraju's algorithm Path-based strong component algorithm Tarjan's
List_of_algorithms
Computer graphics method
realistic (physically plausible) images. It is based on earlier, more limited, ray tracing algorithms. Path tracing is used to create photorealistic images
Path_tracing
Node ordering for directed acyclic graphs
sorted Tarjan's strongly connected components algorithm, an algorithm that gives the topologically sorted list of strongly connected components in a graph
Topological_sorting
Maximal biconnected subgraph
vertex in the block-cut tree. The classic sequential algorithm for computing biconnected components in a connected undirected graph is due to John Hopcroft
Biconnected_component
Partition of vertices of a directed graph
observes, Tarjan's strongly connected components algorithm based on depth-first search will output the strongly connected components in (the reverse of)
Weak_component
Overview of and topical guide to algorithms
Prim's algorithm Borůvka's algorithm Connected component (graph theory) Strongly connected component Tarjan's strongly connected components algorithm Maximum
Outline_of_algorithms
Subset of artificial intelligence
family of rule-based machine learning algorithms that combine a discovery component, typically a genetic algorithm, with a learning component, performing
Machine_learning
Logic problem, AND of pairwise ORs
the strongly connected components of a graph, based on depth-first search: Tarjan's strongly connected components algorithm and the path-based strong component
2-satisfiability
Clustering and community detection algorithm
The Leiden algorithm is a community detection algorithm developed by Traag et al at Leiden University. It was developed as a modification of the Louvain
Leiden_algorithm
Directed graph with no directed cycles
graphs the shortest path may require slower algorithms such as Dijkstra's algorithm or the Bellman–Ford algorithm, and longest paths in arbitrary graphs
Directed_acyclic_graph
Approximate nearest neighbor search algorithm
Hierarchical navigable small world (HNSW) is an algorithm for approximate nearest neighbor search. It is used to find items that are similar to a query
Hierarchical navigable small world
Hierarchical_navigable_small_world
Method of data analysis
use of a computer-based algorithm for computing eigenvectors and eigenvalues. These algorithms are readily available as sub-components of most matrix algebra
Principal_component_analysis
Shannon switching game Spectral graph theory Spring-based algorithm Strongly connected component Vertex cover problem See list of network theory topics
List_of_graph_theory_topics
Degree of connectedness within a graph
vertices). In this case, using Brandes' algorithm will divide final centrality scores by 2 to account for each shortest path being counted twice. Eigenvector
Centrality
Grouping a set of objects by similarity
are known as quasi-cliques, as in the HCS clustering algorithm. Signed graph models: Every path in a signed graph has a sign from the product of the signs
Cluster_analysis
Concept in graph theory
graph theory, a Tutte path is a path P {\displaystyle P} within a graph G {\displaystyle G} such that every connected component that remains after removing
Tutte_path
Algorithm to search the nodes of a graph
Depth-first search (DFS) is an algorithm for traversing or searching tree or graph data structures. The algorithm starts at the root node (selecting some
Depth-first_search
Bipartite graph partition with special property
there exists a strongly connected component in H containing edge x,y. This edge must belong to a simple cycle in H (by the definition of strong connectivity)
Dulmage–Mendelsohn decomposition
Dulmage–Mendelsohn_decomposition
Measure of a graph's centrality, based on shortest paths
centrality in a graph based on shortest paths. Betweenness centrality measures how frequently a node appears on the shortest path between other nodes in
Betweenness_centrality
Graphical representation of a computer program or algorithm
efficiently using Lengauer–Tarjan's algorithm. In the reverse direction, block M post-dominates block N if every path from N to the exit also has to visit
Control-flow_graph
Form of radar used to create images of landscapes
scatterer. There is also an improved method using the four-component decomposition algorithm, which was introduced for the general polSAR data image analyses
Synthetic-aperture_radar
Solving an optimization problem with a quadratic objective function
Lagrangian, conjugate gradient, gradient projection, extensions of the simplex algorithm. In the case in which Q is positive definite, the problem is a special
Quadratic_programming
clustering algorithm (also known as the HCS algorithm, and other names such as Highly Connected Clusters/Components/Kernels) is an algorithm based on graph
HCS_clustering_algorithm
Heuristic search algorithm for evaluating game trees
computer science, Monte Carlo tree search (MCTS) is a heuristic tree search algorithm for some kinds of decision processes, most notably those employed in software
Monte_Carlo_tree_search
Type of graph related to pursuit–evasion
infinite path, and an omniscient robber can win by walking away from the cop along this path, but the path cannot be found by an algorithm. Instead,
Cop-win_graph
Method to solve optimization problems
linear programs. Does LP admit a strongly polynomial-time algorithm? Does LP admit a strongly polynomial-time algorithm to find a strictly complementary
Linear_programming
Planar maps require at most five colors
{\displaystyle v_{3}} lie in the same connected component of G 1 , 3 {\displaystyle G_{1,3}} , we can find a path in G 1 , 3 {\displaystyle G_{1,3}} joining
Five_color_theorem
Optimization problem in computer science
such an algorithm will find the nearest neighbor in a majority of cases, but this depends strongly on the dataset being queried. Algorithms that support
Nearest_neighbor_search
Mathematical theory on behavior of connected clusters in a random graph
Therefore, for a given p, what is the probability that an open path (meaning a path, each of whose links is an "open" bond) exists from the top to the
Percolation_theory
Clustering and community detection algorithm
modularity. Although the Louvain algorithm can correctly identify the community structure when its evidence is sufficiently strong in artificial networks, in
Louvain_method
Independent set which is not a subset of any other independent set
connected component always enters I, so there is always some progress. In particular, in the worst-case of the previous algorithm (n/2 connected components with
Maximal_independent_set
Academic field
in which there exists a path from any node to any other, ignoring directionality of the edges. Strongly Connected Component: A collection of nodes in
Network_science
Standard for cryptographic certificates
deemed invalid by a signing authority, as well as a certification path validation algorithm, which allows for certificates to be signed by intermediate CA
X.509
Graph where most nodes are reachable in a small number of steps
average distance and very large average clustering is constructed. A fast algorithm of constant complexity is given, along with measurements of the robustness
Small-world_network
edges, there is a path with respect to H {\displaystyle H} of which the two nodes are the first and the last edge. A connected component with respect to
Decomposition method (constraint satisfaction)
Decomposition_method_(constraint_satisfaction)
Edges that hit all cycles in a graph
In graph theory and graph algorithms, a feedback arc set or feedback edge set in a directed graph is a subset of the edges of the graph that contains at
Feedback_arc_set
Assignment of colors to edges of a graph
from the odd cycle leaves a path, which may be colored using the two colors for its subgraph. A greedy coloring algorithm that considers the edges of
Edge_coloring
Algorithmic determination of legal moves in a strategy game engine
computational process where an algorithm identifies every legal transition from a given state. This fundamental component of a general game playing engine
Move_generation
Network that allows computers to share resources and communicate with each other
Most routing algorithms use only one network path at a time. Multipath routing techniques enable the use of multiple alternative paths. Routing can be
Computer_network
IEEE standard for Shortest Path Bridging
the two paths' minimum SYSIDs. The low PATHID algorithm is the basis of all 802.1aq tie breaking. ECMT is also based on the low PATHID algorithm by simply
IEEE_802.1aq
Computational complexity of quantum algorithms
connectivity, strong connectivity (a directed graph version of the connectivity model), minimum spanning tree, and single source shortest path models of graphs
Quantum_complexity_theory
Graph representing edges of another graph
this classification applies separately to each component of G. For connected graphs that are not paths, all sufficiently high numbers of iteration of
Line_graph
multiplication Schönhage–Strassen algorithm — based on Fourier transform, asymptotically very fast Fürer's algorithm — asymptotically slightly faster than
List of numerical analysis topics
List_of_numerical_analysis_topics
Largest independent set of paired elements
matroids, in time O ( n 3 r ) {\displaystyle O(n^{3}r)} . These algorithms are based on a linear algebra formulation of the problem by Geelen & Iwata
Matroid_parity_problem
Any planar graph can be subdivided by removing a few vertices
the single source shortest path algorithm in planar graphs for nonnegative edge-lengths and proposed a linear time algorithm. Their method generalizes
Planar_separator_theorem
Mathematical graph theorem
discuss efficient versions of Petersen's theorem. Based on Frink's proof they obtain an O(n log4 n) algorithm for computing a perfect matching in a cubic,
Petersen's_theorem
Scale-free network generation algorithm
The Barabási–Albert (BA) model is an algorithm for generating random scale-free networks using a preferential attachment mechanism. Several natural and
Barabási–Albert_model
Concept of fault-tolerance
self-stabilizing mutual exclusion algorithms. It also showed the first self-stabilizing algorithms that did not rely on strong assumptions on the system. Some
Self-stabilization
Partitioning a digital image into segments
geometry reconstruction algorithms like marching cubes. Some of the practical applications of image segmentation are: Content-based image retrieval Machine
Image_segmentation
Type of error-correcting code using convolution
trellis-based decoders — the Viterbi algorithm. Other trellis-based decoder algorithms were later developed, including the BCJR decoding algorithm. Recursive
Convolutional_code
Concept in artificial intelligence
further iterations. AlphaEvolve has made several algorithmic discoveries and could be used to optimize components of itself, but a key limitation is the need
Recursive_self-improvement
Feature detection algorithm in computer vision
The scale-invariant feature transform (SIFT) is a computer vision algorithm to detect, describe, and match local features in images, invented by David
Scale-invariant feature transform
Scale-invariant_feature_transform
Trail in which only the first and last vertices are equal
algorithms will detect cycles too, since those are obstacles for topological order to exist. Also, if a directed graph has been divided into strongly
Cycle_(graph_theory)
techniques strongly or loosely based in these ones, whose behavior encompasses the multiple parallel execution of algorithm components that cooperate in some
Parallel_metaheuristic
Technological phenomenon with social implications
omits flights that do not follow the sponsoring airline's flight paths. Algorithms may also display an uncertainty bias, offering more confident assessments
Algorithmic_bias
Network whose links change over time
proposed. A component may be defined as strongly connected if there is a directed time respecting path connecting all nodes in the component in both directions
Temporal_network
Attempts to formalize the concept of algorithms
Algorithm characterizations are attempts to formalize the word algorithm. Algorithm does not have a generally accepted formal definition. Researchers
Algorithm_characterizations
Process of converting plaintext to ciphertext
encryption scheme usually uses a pseudo-random encryption key generated by an algorithm. It is possible to decrypt the message without possessing the key but
Encryption
Probabilistic problem-solving algorithm
experiments or Monte Carlo simulations, are a broad class of computational algorithms based on repeated random sampling for obtaining numerical results, conceptualized
Monte_Carlo_method
Disk encryption software
default algorithm for digests, pbkdf2, as well as the anti-forensic stripes type "luks1", are identical to LUKS1. The key derivation defaults to stronger algorithms
Linux_Unified_Key_Setup
Type of sub-graph
procedure is continued until there is no remaining path to traverse. The advantage of the algorithm is that it does not consider infrequent sub-graphs
Network_motif
Concurrency control technique for databases
From a software architecture point of view, a CO component that implements the generic CO algorithm locally, the Commitment Order Coordinator (COCO),
Commitment_ordering
Subfield of computer science and mathematics
Information-based complexity (IBC) studies optimal algorithms and computational complexity for continuous problems. IBC has studied continuous problems as path integration
Theoretical_computer_science
List of concepts in artificial intelligence
solving mazes. This field of research is based heavily on Dijkstra's algorithm for finding a shortest path on a weighted graph. pattern recognition Concerned
Glossary of artificial intelligence
Glossary_of_artificial_intelligence
Signal processing effect
contains low frequency components that are not present in the original one. This is caused when, in the original signal, there are components at frequency exceeding
Aliasing
Study of physics on quintillionth-second timescales
iterative algorithms, such as: Principal component generalized projections algorithm (PCGPA). Volkov transform generalized projection algorithm (VTGPA)
Attosecond_physics
Technique for the generative modeling of a continuous probability distribution
machine learning, diffusion models, also known as diffusion-based generative models or score-based generative models, are a class of latent variable generative
Diffusion_model
Numerical invariant of graphs
uses strong connectivity and strongly connected components in place of undirected connectivity and connected components. Tree-depth may also be defined
Tree-depth
fair paths. A fair state is one from which at least one fair path originates. This translates to Mf, s |= EGtrue. A strongly connected component (SCC)
Fair_computational_tree_logic
the graph to components created, over all possible removals; it is analogous to toughness, based on vertex removals. strong 1. For strong connectivity
Glossary_of_graph_theory
Use of artificial intelligence in the automation of electronic design
used algorithms and search techniques to explore different design paradigms. This was another way to automate design, even if it was not always based on
AI-driven_design_automation
Calculation of complex statistical distributions
computers. Then in 1970, W. K. Hastings generalized this algorithm and inadvertently introduced the component-wise updating idea, later known as Gibbs sampling
Markov_chain_Monte_Carlo
resource usage, and the efficiency of an algorithm can be measured based on usage of different resources. Algorithmic efficiency can be thought of as analogous
Glossary_of_computer_science
Evolutionary algorithm
belong to the class of evolutionary algorithms and evolutionary computation. An evolutionary algorithm is broadly based on the principle of biological evolution
CMA-ES
Annual conference series on algorithms
The European Symposium on Algorithms (ESA) is an international conference covering the field of algorithms. It has been held annually since 1993, typically
European Symposium on Algorithms
European_Symposium_on_Algorithms
Method of representing systems
divided into communities by biologists using a community detection algorithm based on neighbors of nodes with high degree centrality. The resulting communities
Biological_network
Type of Monte Carlo algorithms for signal processing and statistical inference
natural search algorithms (a.k.a. Metaheuristic). In computational physics and molecular chemistry, they are used to solve Feynman-Kac path integration problems
Particle_filter
Tree searching strategy
a shortest path is found. Otherwise, the search depth is incremented and the same computation takes place. One limitation of the algorithm is that the
Iterative deepening depth-first search
Iterative_deepening_depth-first_search
Computer program for the Boolean satisfiability problem
formula to conjunctive normal form. They are often based on core algorithms such as the DPLL algorithm, but incorporate a number of extensions and features
SAT_solver
and Algorithms, John Wiley & Sons, p. 361, ISBN 978-0-471-51356-8 Cechich, Alejandra; Piattini, Mario; Vallecillo, Antonio (2003), Component-Based Software
Rooted_graph
Solving multiple machine learning tasks at the same time
network GoogLeNet, an image-based object classifier, can develop robust representations which may be useful to further algorithms learning related tasks.
Multi-task_learning
vertices x , y , z {\displaystyle {x,y,z}} such that each pair is joined by a path that avoids the neighborhood of the third vertex. More formally, in a graph
Asteroidal_triple-free_graph
Musical algorithm for encrypting and decrypting information
cryptography, a music cipher is an algorithm for the encryption of a plaintext into musical symbols or sounds. Music-based ciphers are related to, but not
Music_cipher
Graph orientation with one source and sink
Alternatively, efficient sequential and parallel algorithms may be based on ear decomposition. While the DFS-based algorithms above depend inherently on the special
Bipolar_orientation
American computer scientist
and System Sciences 50, 2, 1995, 259-273. "Path-based depth-first search for strong and biconnected components," H.N. Gabow, Information Processing Letters
Harold_N._Gabow
Shape that blocks all lines of sight
traveling salesperson path of its vertices, can be computed exactly in polynomial time for convex polygons by a dynamic programming algorithm, in models of computation
Opaque_set
Linguistic research program proposed by Noam Chomsky
language is not optimal when judged based on how it functions, since it often contains ambiguities, garden paths, etc. However, it may be optimal for
Minimalist_program
Concept in network science
improved base algorithm, matching its quality of clusters while being multiple orders of magnitude faster. blockmodeling Girvan–Newman algorithm – Community
Stochastic_block_model
Neighbourhood components analysis Neighbor joining Nelson rules Nelson–Aalen estimator Nemenyi test Nested case-control study Nested sampling algorithm Network
List_of_statistics_articles
Social structure made up of a set of social actors
Forastiere, Laura; Gupta, Swati; Christakis, Nicholas A. (2022-07-26). "Algorithms for seeding social networks can enhance the adoption of a public health
Social_network
that transforms an algorithm in such a way that the resulting algorithm preserves the input-output behavior of the original algorithm but the distribution
Oblivious_RAM
Methods that imitate, replicate or use natural processes
applications. In the same vein, ant algorithms model the foraging behaviour of ant colonies. To find the best path between the nest and a source of food
Natural_computing
Set of parameters for a genetic or evolutionary algorithm
in evolutionary algorithms (EA) is a set of parameters which define a proposed solution of the problem that the evolutionary algorithm is trying to solve
Chromosome (evolutionary algorithm)
Chromosome_(evolutionary_algorithm)
Family of random graph models
COOPER, COLIN; FRIEZE, ALAN (May 2004). "The Size of the Largest Strongly Connected Component of a Random Digraph with a Given Degree Sequence". Combinatorics
Configuration_model
Cycles in a graph that generate all cycles
Dijkstra's algorithm to find each shortest path tree and then using Gaussian elimination to perform the testing steps of the greedy basis algorithm leads to
Cycle_basis
and simple "grid-based pathfinding", wherein the terrain is mapped onto a rigid grid of uniform squares and a pathfinding algorithm such as A* or IDA*
Artificial intelligence in video games
Artificial_intelligence_in_video_games
PATH BASED-STRONG-COMPONENT-ALGORITHM
PATH BASED-STRONG-COMPONENT-ALGORITHM
Female
English
English name derived from the season name, "spring," (Mar. 21 thru Jun. 21), derived from the verb spring, "to burst forth," from Proto-Indo-European *sprengh-, SPRING means "rapid movement."Â
Female
English
Short form of English Katherine, KATH means "pure."
Male
Vietnamese
Vietnamese name TRUNG means "loyal."
Boy/Male
American, Australian, British, English
Powerful
Surname or Lastname
English
English : habitational name from the city of Bath in western England, which is the site of sumptuous, but in the Middle Ages ruined, Roman baths. The place is named with the dative plural of Old English bæð ‘bath’. In some cases the surname may have originated as a metonymic occupational name for an attendant at a public bath house.Scottish : reduced and altered form of McBeth.German : variant of Bathe.Indian (Panjab) : Sikh name based on the name of a Jat clan.
Surname or Lastname
English
English : from Middle English strong, strang ‘strong’, generally a nickname for a strong man but perhaps sometimes applied ironically to a weakling.French : translation of Trahand, a metonymic occupational name for a silkworker who drew out the thread from the cocoons (see Trahan).Translation of Ashkenazic Jewish Stark.
Surname or Lastname
English (Bath)
English (Bath) : unexplained.
Female
English
English short form of French Catherine, CATH means "pure."
Girl/Female
American, Australian, Bengali, British, Christian, English, Indian
Springtime; Spring Season; Rapid Movement
Boy/Male
Anglo, British, English
Strong
Female
Hebrew
(בַּתש×וּעַ) Variant spelling of Hebrew Bath-Shuwa, BATH-SHUA means "daughter of wealth."Â
Surname or Lastname
English (Bristol and Bath)
English (Bristol and Bath) : unexplained.
Boy/Male
Arabic, Modern
Road; The Way
Male
Vietnamese
Vietnamese name TRONG means "respected."
Surname or Lastname
English
English : metonymic occupational name for a maker of strings or bow strings, from Middle English streng ‘string’, ‘cord’.
Surname or Lastname
English (mainly Devon)
English (mainly Devon) : variant of Pate 1.
Male
Irish
Short form of Irish Gaelic Parthalán, possibly PARTH means "son of Talmai."
Girl/Female
Australian, British, English
Way
Girl/Female
Indian
Lively, Entertainer, From a stream or a Spring, The Spring season, The Spring season
Surname or Lastname
English and Scottish
English and Scottish : from the personal name Pat(t), Pate, a short form of Patrick.English and Scottish : nickname for a man with a bald head, from Middle English pate ‘head’, ‘skull’.French (Paté) : from Old French pat(t)é ‘with paws’, ‘pawed’ (from pat(t)e ‘paw’), a nickname, applied presumably to a man with large and clumsy hands and feet.German : nickname for a trustworthy man, from Middle High German pate, Middle Low German pade ‘godfather’, ‘male relative’ (see Paeth), or alternatively from a personal name Bado, probably meaning ‘battle’, ‘fight’.
PATH BASED-STRONG-COMPONENT-ALGORITHM
PATH BASED-STRONG-COMPONENT-ALGORITHM
Boy/Male
Tamil
Gangamaindan | காநà¯à®•à®®à¯ˆà®¨à¯à®¤à®¨
Lord Murugan
Boy/Male
Indian
Joy of Happiness.
Girl/Female
Assamese, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Ecstasy; Deep Interest
Boy/Male
Hindu, Indian, Sindhi
Prayer
Girl/Female
Muslim
One who is calm
Girl/Female
Tamil
Great, Worthy, Fortunate
Girl/Female
Hindu
Star, The pupil of the eye, Meteor, Fragance
Boy/Male
Hindu, Indian
With Great Speed
Surname or Lastname
English
English : variant spelling of Body.Possibly an altered form of the German habitational name Boddi(e)n, from either of two places so named, in Mecklenburg and Brandenburg.
Girl/Female
Hindu
Padmanabhans wife, Goddess Lakshmi, A girl who is always Happy
PATH BASED-STRONG-COMPONENT-ALGORITHM
PATH BASED-STRONG-COMPONENT-ALGORITHM
PATH BASED-STRONG-COMPONENT-ALGORITHM
PATH BASED-STRONG-COMPONENT-ALGORITHM
PATH BASED-STRONG-COMPONENT-ALGORITHM
superl.
Having passive physical power; having ability to bear or endure; firm; hale; sound; robust; as, a strong constitution; strong health.
superl.
Having virtues of great efficacy; or, having a particular quality in a great degree; as, a strong powder or tincture; a strong decoction; strong tea or coffee.
superl.
Solid; tough; not easily broken or injured; able to withstand violence; able to sustain attacks; not easily subdued or taken; as, a strong beam; a strong rock; a strong fortress or town.
superl.
Ardent; eager; zealous; earnestly engaged; as, a strong partisan; a strong Whig or Tory.
superl.
Well established; firm; not easily overthrown or altered; as, a strong custom; a strong belief.
superl.
Adapted to make a deep or effectual impression on the mind or imagination; striking or superior of the kind; powerful; forcible; cogent; as, a strong argument; strong reasons; strong evidence; a strong example; strong language.
pl.
of Path
a.
Having a base, or having as a base; supported; as, broad-based.
superl.
Affecting any sense powerfully; as, strong light, colors, etc.; a strong flavor of onions; a strong scent.
superl.
Solid; nourishing; as, strong meat.
superl.
Having great military or naval force; powerful; as, a strong army or fleet; a nation strong at sea.
superl.
Tending to higher prices; rising; as, a strong market.
imp. & p. p.
of Base
a.
Strong.
superl.
Moving with rapidity or force; violent; forcible; impetuous; as, a strong current of water or wind; the wind was strong from the northeast; a strong tide.
v. t.
To make a path in, or on (something), or for (some one).
v. t.
To furnish with strings; as, to string a violin.
v. t.
To deprive of strings; to strip the strings from; as, to string beans. See String, n., 9.