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Tarjan's algorithm may refer to one of several algorithms attributed to Robert Tarjan, including: Tarjan's strongly connected components algorithm Tarjan's
Tarjan's_algorithm
Graph algorithm
Tarjan's strongly connected components algorithm is an algorithm in graph theory for finding the strongly connected components (SCCs) of a directed graph
Tarjan's strongly connected components algorithm
Tarjan's_strongly_connected_components_algorithm
When every path in a control-flow graph must go through one node to reach another
Lengauer and Tarjan developed an algorithm which is almost linear, and in practice, except for a few artificial graphs, the algorithm and a simplified
Dominator_(graph_theory)
Algorithm in graph theory
In computer science, Tarjan's off-line lowest common ancestors algorithm is an algorithm for computing lowest common ancestors for pairs of nodes in a
Tarjan's off-line lowest common ancestors algorithm
Tarjan's_off-line_lowest_common_ancestors_algorithm
Classification of algorithm
A galactic algorithm is an algorithm with state-of-the-art theoretical (asymptotic) performance, but which is not used due to practical constraints. Typical
Galactic_algorithm
American computer scientist and mathematician
Endre Tarjan (born April 30, 1948) is an American computer scientist and mathematician. He is the discoverer of several graph theory algorithms, including
Robert_Tarjan
Algorithm for finding shortest paths
were discovered, Dijkstra's original algorithm ran in Θ(|V|2) time, where |V| is the number of nodes. Fredman & Tarjan 1984 proposed a Fibonacci heap priority
Dijkstra's_algorithm
Maximal biconnected subgraph
classic sequential algorithm for computing biconnected components in a connected undirected graph is due to John Hopcroft and Robert Tarjan (1973). It runs
Biconnected_component
Partition of a graph whose components are reachable from all vertices
this algorithm was published by Edsger W. Dijkstra in 1976. Although Kosaraju's algorithm is conceptually simple, Tarjan's and the path-based algorithm require
Strongly_connected_component
Method for finding minimum spanning trees
algorithm with Borůvka's. A faster randomized minimum spanning tree algorithm based in part on Borůvka's algorithm due to Karger, Klein, and Tarjan runs
Borůvka's_algorithm
the algorithm steps. There are two algorithms available for directed graph: Camerini's algorithm for finding MBSA and another from Gabow and Tarjan. For
Minimum bottleneck spanning tree
Minimum_bottleneck_spanning_tree
component algorithm Tarjan's strongly connected components algorithm Subgraph isomorphism problem Bitap algorithm: fuzzy algorithm that determines if strings
List_of_algorithms
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
Method for finding minimum spanning trees
In computer science, Prim's algorithm is a greedy algorithm that finds a minimum spanning tree for a weighted undirected graph. This means it finds a
Prim's_algorithm
Algorithmic problem of finding non-crossing drawings
Hopcroft and Tarjan was the first published linear-time planarity testing algorithm in 1974. An implementation of Hopcroft and Tarjan's algorithm is provided
Planarity_testing
Algorithm for the directed version of the minimum spanning tree problem
In graph theory, Edmonds' algorithm or Chu–Liu/Edmonds' algorithm is an algorithm for finding a spanning arborescence of minimum weight (sometimes called
Edmonds'_algorithm
Graph algorithm
algorithm were proposed by Cheriyan and Mehlhorn in 1996 and by Gabow in 2000. Like this algorithm, Tarjan's strongly connected components algorithm also
Path-based strong component algorithm
Path-based_strong_component_algorithm
Sequence in computer science
MR 0594702, S2CID 207568668. Tarjan, Robert E.; Vishkin, Uzi (1985), "An efficient parallel biconnectivity algorithm", SIAM Journal on Computing, 14
Prefix_sum
Method of finding a directed graph's strongly connected components
In computer science, Kosaraju-Sharir's algorithm (also known as Kosaraju's algorithm) is a linear time algorithm to find the strongly connected components
Kosaraju's_algorithm
Algorithm that employs a degree of randomness as part of its logic or procedure
A randomized algorithm is an algorithm that employs a degree of randomness as part of its logic or procedure. The algorithm typically uses uniformly random
Randomized_algorithm
Method for partitioning partial orders into levels
Coffman–Graham algorithm is an algorithm for arranging the elements of a partially ordered set into a sequence of levels. The algorithm chooses an arrangement
Coffman–Graham_algorithm
Method for finding kth smallest value
In computer science, a selection algorithm is an algorithm for finding the k {\displaystyle k} th smallest value in a collection of orderable values,
Selection_algorithm
Study of resources used by an algorithm
computer science, the analysis of algorithms is the process of finding the computational complexity of algorithms—the amount of time, storage, or other
Analysis_of_algorithms
Algorithm for computing the maximal flow of a network
Dinic's algorithm or Dinitz's algorithm is a strongly polynomial algorithm for computing the maximum flow in a flow network, conceived in 1970 by Israeli
Dinic's_algorithm
Node ordering for directed acyclic graphs
remaining subgraph to be topologically sorted Tarjan's strongly connected components algorithm, an algorithm that gives the topologically sorted list of
Topological_sorting
Logic problem, AND of pairwise ORs
step, as components are generated by Kosaraju's algorithm in topological order and by Tarjan's algorithm in reverse topological order. For each component
2-satisfiability
Trail in a graph that visits each edge once
bridges. If we are to re-run Tarjan's linear time bridge-finding algorithm after the removal of every edge, Fleury's algorithm will have a time complexity
Eulerian_path
Algorithm in graph theory
optimization, the network simplex algorithm is a graph theoretic specialization of the simplex algorithm. The algorithm is usually formulated in terms of
Network_simplex_algorithm
Computational problem of graph theory
Ahuja, Ravindra K.; Mehlhorn, Kurt; Orlin, James; Tarjan, Robert E. (April 1990). "Faster algorithms for the shortest path problem" (PDF). Journal of the
Shortest_path_problem
Algorithm for two disjoint paths in a graph
theoretical computer science and network routing, Suurballe's algorithm is an algorithm for finding two disjoint paths in a nonnegatively-weighted directed
Suurballe's_algorithm
Algorithm for maximum cardinality matching
science, the Hopcroft–Karp algorithm (sometimes more accurately called the Hopcroft–Karp–Karzanov algorithm) is an algorithm that takes a bipartite graph
Hopcroft–Karp_algorithm
Algorithm for finding max graph matchings
In graph theory, the blossom algorithm is an algorithm for constructing maximum matchings on graphs. The algorithm was developed by Jack Edmonds in 1961
Blossom_algorithm
Sweep line algorithm
In computational geometry, the Bentley–Ottmann algorithm is a sweep line algorithm for listing all crossings in a set of line segments, i.e. it finds
Bentley–Ottmann_algorithm
Karger, Philip Klein, and Robert Tarjan. The algorithm relies on techniques from Borůvka's algorithm along with an algorithm for verifying a minimum spanning
Expected linear time MST algorithm
Expected_linear_time_MST_algorithm
union-find problem. In Tarjan's lower bound for the disjoint set union problem, the assumptions on the algorithm are: The algorithm maintains a linked structure
Pointer_algorithm
Algorithm to search the nodes of a graph
science, depth-first search (DFS) is an algorithm for traversing or searching tree or graph data structures. The algorithm starts at the root node (selecting
Depth-first_search
Algorithm in mathematical optimization
mathematical optimization, the push–relabel algorithm (alternatively, preflow–push algorithm) is an algorithm for computing maximum flows in a flow network
Push–relabel maximum flow algorithm
Push–relabel_maximum_flow_algorithm
Computer science algorithm
Topological sort". Introduction to Algorithms (3rd ed.). MIT Press. ISBN 978-0-262-03384-8. Hopcroft, John; Tarjan, Robert (1974). "Efficient Planarity
Graph_traversal
Fast approximate median algorithm
is an approximate median selection algorithm, frequently used to supply a good pivot for an exact selection algorithm, most commonly quickselect, that selects
Median_of_medians
Dictionary-based compression algorithm
The Algorithm BSTW is a data compression algorithm, named after its designers, Bentley, Sleator, Tarjan and Wei in 1986. BSTW is a dictionary-based algorithm
Algorithm_BSTW
Computational problem in graph theory
path algorithm of Edmonds and Karp and independently Dinitz; the blocking flow algorithm of Dinitz; the push-relabel algorithm of Goldberg and Tarjan; and
Maximum_flow_problem
Graphical representation of a computer program or algorithm
The dominator tree can be calculated efficiently using Lengauer–Tarjan's algorithm. In the reverse direction, block M post-dominates block N if every
Control-flow_graph
Data structure for storing non-overlapping sets
considered. Gabow and Tarjan showed that if the possible unions are restricted in certain ways, then a truly linear time algorithm is possible. In particular
Disjoint-set_data_structure
Least-weight tree connecting graph vertices
Chazelle's algorithm takes very close to linear time. If the graph is dense (i.e. m/n ≥ log log log n), then a deterministic algorithm by Fredman and Tarjan finds
Minimum_spanning_tree
Edge whose deletion would disconnect a graph
The first linear time algorithm (linear in the number of edges) for finding the bridges in a graph was described by Robert Tarjan in 1974. It performs
Bridge_(graph_theory)
Tree node with two other nodes as descendants
lowest common ancestors may be found more quickly. Tarjan's off-line lowest common ancestors algorithm, for example, preprocesses a tree in linear time
Lowest_common_ancestor
American cryptographer (born 1947)
cryptographer and computer scientist whose work has spanned the fields of algorithms and combinatorics, cryptography, machine learning, and election integrity
Ron_Rivest
Task of computing complete subgraphs
researchers began studying these algorithms from the point of view of worst-case analysis. See, for instance, Tarjan & Trojanowski (1977), an early work
Clique_problem
The following timeline of algorithms outlines the development of algorithms (mainly "mathematical recipes") since their inception. Before – writing about
Timeline_of_algorithms
Search algorithm used in sorted arrays
half-interval search, logarithmic search, or binary chop, is a search algorithm that finds the position of a target value within a sorted array. Binary
Binary_search
Use of functions that call themselves
ISBN 978-1-7185-0202-4.[page needed] Hopcroft, John; Tarjan, Robert (June 1973). "Algorithm 447: efficient algorithms for graph manipulation". Communications of
Recursion_(computer_science)
Whether one vertex can be reached from another in a graph
algorithm requires O ( | V | 3 ) {\displaystyle O(|V|^{3})} time and O ( | V | 2 ) {\displaystyle O(|V|^{2})} space in the worst case. This algorithm
Reachability
Family of problems in computational geometry
query point. A brute force search of each face using the point-in-polygon algorithm is possible, but usually not feasible for subdivisions of high complexity
Point_location
Method for finding loopless paths
graph theory, Yen's algorithm computes single-source K-shortest loopless paths for a graph with non-negative edge cost. The algorithm was published by Jin
Yen's_algorithm
Computer science data structure
(1990). Introduction to Algorithms (1st ed.). MIT Press and McGraw-Hill. ISBN 0-262-03141-8. Sleator, Daniel Dominic; Tarjan, Robert Endre (February 1986)
Heap_(data_structure)
Surname list
1952), German computer scientist and computational biologist Lengauer-Tarjan's algorithm This page lists people with the surname Lengauer. If an internal link
Lengauer
Method for analyzing online algorithms
1992). Adversary (online algorithm) Amortized analysis K-server problem List update problem Online algorithm Sleator, D.; Tarjan, R. (1985), "Amortized
Competitive analysis (online algorithm)
Competitive_analysis_(online_algorithm)
I/O-efficient algorithm regardless of cache size
In computing, a cache-oblivious algorithm (or cache-transcendent algorithm) is an algorithm designed to take advantage of a processor cache without having
Cache-oblivious_algorithm
Abstract data type in computer science
(1990). Introduction to Algorithms (1st ed.). MIT Press and McGraw-Hill. ISBN 0-262-03141-8. Sleator, Daniel Dominic; Tarjan, Robert Endre (February 1986)
Priority_queue
Graph theory problem: find a matching containing the most edges
Vazirani. The same bound was achieved by an algorithm by Blum [de] and an algorithm by Gabow and Tarjan. An alternative approach uses randomization and
Maximum-cardinality_matching
their algorithm is dominated by computing the maximum network flow in a network with at most m nodes and at most m edges. They used the Sleator-Tarjan algorithm
Optimal_stable_matching
Mathematical optimization problem
in algorithmic efficiency for network flow problems". Journal of the ACM. 19 (2): 248–264. doi:10.1145/321694.321699. Goldberg, Andrew V. & Tarjan, Robert
Minimum-cost_flow_problem
Mathematics award
computational complexity theory, logic of programming languages, analysis of algorithms, cryptography, computer vision, pattern recognition, information processing
IMU_Abacus_Medal
Selection algorithm
to a worst-case linear-time selection algorithm (the Blum-Floyd-Pratt-Rivest-Tarjan median of medians algorithm) if it recurses too many times without
Introselect
Partition-based graph traversal method
breadth-first search algorithm is based on the idea of partition refinement and was first developed by Donald J. Rose, Robert E. Tarjan, and George S. Lueker (1976)
Lexicographic breadth-first search
Lexicographic_breadth-first_search
Graph with at most one cycle per component
vol. 434, Springer-Verlag, pp. 329–354. Gabow, H. N.; Tarjan, R. E. (1988), "A linear-time algorithm for finding a minimum spanning pseudoforest", Information
Pseudoforest
Algorithm that outputs all solutions to a problem
science, an enumeration algorithm is an algorithm that enumerates the answers to a computational problem. Formally, such an algorithm applies to problems
Enumeration_algorithm
American computer scientist
(jointly with Robert Tarjan) for the splay tree data structure. He was one of the pioneers in amortized analysis of algorithms, early examples of which
Daniel_Sleator
Graph orientation with one source and sink
part of a planarity testing algorithm, and Rosenstiehl & Tarjan (1986) formulated bipolar orientations as part of an algorithm for constructing tessellation
Bipolar_orientation
Unrelated vertices in graphs
the linear time algorithm on cographs is the basic example for that. Another important tool are clique separators as described by Tarjan. Kőnig's theorem
Independent set (graph theory)
Independent_set_(graph_theory)
Binary tree derived from a sequence of numbers
808675, ISBN 0-89791-133-4, S2CID 17752833 Harel, Dov; Tarjan, Robert E. (1984), "Fast algorithms for finding nearest common ancestors", SIAM Journal on
Cartesian_tree
Any planar graph can be subdivided by removing a few vertices
hdl:1813/6346 Gilbert, John R.; Tarjan, Robert E. (1986), "The analysis of a nested dissection algorithm", Numerische Mathematik, 50 (4): 377–404
Planar_separator_theorem
Mathematical method in graph theory
computation of solutions to common problems in algorithmic graph theory. It was introduced by Tarjan and Vishkin in 1984. Given an undirected tree presented
Euler_tour_technique
Computer science concept
smallest expected search time for the given access probabilities. Various algorithms exist to construct or approximate the statically optimal tree given the
Optimal_binary_search_tree
Complexity class
verified quickly (namely, in polynomial time), and a brute-force search algorithm can find a valid solution (if one exists) by trying all possible solutions
NP-completeness
German computational biologist (born 1952)
Algorithmics at the Max Planck Institute for Informatics. With his Stanford PhD advisor Robert Tarjan, he is known for the Lengauer–Tarjan algorithm in
Thomas_Lengauer
Mathematics problem
1016/0166-218X(94)00009-3. Kaplan, H.; Shamir, R.; Tarjan, R.E. (1997). "Faster and Simpler Algorithm for Sorting Signed Permutations by Reversals". Proc
Pancake_sorting
Method for algorithm analysis in computer science
computer science, amortized analysis is a method for analyzing a given algorithm's complexity, or how much of a resource, especially time or memory, it
Amortized_analysis
Partition of vertices of a directed graph
subsequently simplified by Tarjan (1974) and Knuth (2022). As Tarjan observes, Tarjan's strongly connected components algorithm based on depth-first search
Weak_component
Combinatorial optimization problem
1016/j.jcss.2004.04.003. ISSN 0022-0000. Gabow, H.; Tarjan, R. (1989-10-01). "Faster Scaling Algorithms for Network Problems". SIAM Journal on Computing
Assignment_problem
Reversible data-stream transform
usually justify including it as an extra step in data compression algorithm. This algorithm was first published by Boris Ryabko under the name of "book stack"
Move-to-front_transform
Longest distance between two vertices
Liam; Schoenebeck, Grant; Tarjan, Robert Endre; Vassilevska Williams, Virginia (2014), "Better approximation algorithms for the graph diameter", in
Diameter_(graph_theory)
first defined by Tarjan on red–black trees, which runs in worst-case logarithmic time. Later Sleator and Tarjan described a join algorithm for splay trees
Join-based_tree_algorithms
German computer scientist
expertise is mainly on algorithms with a focus on data structures, algorithmic game theory, information retrieval, search algorithms and Web data mining
Monika_Henzinger
hdl:1813/6607. Gilbert, John R.; Tarjan, Robert E. (1986), "The analysis of a nested dissection algorithm", Numerische Mathematik, 50 (4): 377–404
Nested_dissection
Planar maps require at most five colors
MR 0640516 Matula, David; Shiloach, Yossi; Tarjan, Robert (November 1980), Two linear-time algorithms for five-coloring a planar graph (PDF), Tech.
Five_color_theorem
Abstract data type
some authors deem such algorithm as not purely functional since memoization is considered as a side effect. Kaplan and Tarjan gives their own version
Double-ended_queue
the result into a strongly connected graph. The algorithm for the unweighted case by Eswaran and Tarjan considers the condensation of the given directed
Strong connectivity augmentation
Strong_connectivity_augmentation
Computational problem of interest in computer science
of page replacement algorithms in memory caches, and was also already known to have a k-competitive algorithm (Sleator and Tarjan 1985). Fiat et al. (1990)
K-server_problem
Partition of a simple polygon into triangles
Then, Tarjan & Van Wyk (1988) discovered an O(n log log n)-time algorithm for triangulation, later simplified by Kirkpatrick, Klawe & Tarjan (1992).
Polygon_triangulation
American computer scientist (born 1939)
with Robert Tarjan) "for fundamental achievements in the design and analysis of algorithms and data structures." Along with his work with Tarjan on planar
John_Hopcroft
Maximal subgraph whose vertices can reach each other
1016/0012-365X(73)90138-6, MR 0316301 Hopcroft, John; Tarjan, Robert (June 1973), "Algorithm 447: efficient algorithms for graph manipulation", Communications of
Component_(graph_theory)
American computer scientist
He is known for algorithms on graphs and networks, including the push–relabel maximum flow algorithm developed with Robert Tarjan, work on shortest
Andrew_V._Goldberg
Computational problem
(1980). Gabow, Bentley & Tarjan (1984). Bern, Eppstein & Teng (1999). Knuth, Donald (1968), "Vol. 1: Fundamental Algorithms", The Art of Computer Programming
All_nearest_smaller_values
Variant of heap data structure
(1990). Introduction to Algorithms (1st ed.). MIT Press and McGraw-Hill. ISBN 0-262-03141-8. Sleator, Daniel Dominic; Tarjan, Robert Endre (February 1986)
Binary_heap
tree permutation) is a permutation whose elements may be sorted by an algorithm whose internal storage is limited to a single stack data structure. The
Stack-sortable_permutation
Quickly growing function
1007/BF01935330. S2CID 123416408. Tarjan, Robert Endre (1975). "Efficiency of a Good But Not Linear Set Union Algorithm". Journal of the ACM. 22 (2): 215–225
Ackermann_function
Set of edges without common vertices
03590 Fredman, Michael L.; Tarjan, Robert Endre (1987), "Fibonacci heaps and their uses in improved network optimization algorithms", Journal of the ACM, 34
Matching_(graph_theory)
Shared independent set of two matroids
Gabow, Harold N.; Tarjan, Robert E. (1984), "Efficient algorithms for a family of matroid intersection problems", Journal of Algorithms, 5 (1): 80–131,
Matroid_intersection
Vertices whose removal breaks all cycles
directed cycle) can be solved in linear time using a DFS-based algorithm by Garey and Tarjan. The undirected problem is APX-complete. This follows from the
Feedback_vertex_set
travel, tourism, insurance
TARJANS ALGORITHM
TARJANS ALGORITHM
TARJANS ALGORITHM
TARJANS ALGORITHM
TARJANS ALGORITHM
TARJANS ALGORITHM
TARJANS ALGORITHM
TARJANS ALGORITHM
TARJANS ALGORITHM
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