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Problem of finding the longest simple path for a given graph
computer science, the longest path problem is the problem of finding a simple path of maximum length in a given graph. A path is called simple if it
Longest_path_problem
Algorithm for finding shortest paths
shortest path problem. A* search algorithm Bellman–Ford algorithm Euclidean shortest path Floyd–Warshall algorithm Johnson's algorithm Longest path problem Parallel
Dijkstra's_algorithm
Sequence of edges which join a sequence of vertices on a given graph
vertex-disjoint paths of length at most k. Glossary of graph theory Path graph Polygonal chain Shortest path problem Longest path problem Dijkstra's algorithm
Path_(graph_theory)
Mathematical problem set on a chessboard
The longest uncrossed (or nonintersecting) knight's path is a mathematical problem involving a knight on the standard 8×8 chessboard or, more generally
Longest uncrossed knight's path
Longest_uncrossed_knight's_path
Computational problem of graph theory
In graph theory, the shortest path problem is the problem of finding a path between two vertices (or nodes) in a graph such that the sum of the weights
Shortest_path_problem
completion Hamiltonian path problem, directed and undirected. Induced subgraph isomorphism problem Graph intersection number Longest path problem Maximum bipartite
List_of_NP-complete_problems
Graph path which is an induced subgraph
The problem of finding the longest induced path or cycle in a hypercube, first posed by Kautz (1958), is known as the snake-in-the-box problem, and it
Induced_path
Property of a computational problem
substructure. Longest common subsequence problem Longest increasing subsequence Longest palindromic substring All-Pairs Shortest Path Any problem that can
Optimal_substructure
Method of scheduling activities
identify its longest series of dependent activities (its longest path). These tools can display the critical path (and near-critical path activities if
Critical_path_method
Algorithmic problem on pairs of sequences
longest common substring: unlike substrings, subsequences are not required to occupy consecutive positions within the original sequences. The problem
Longest_common_subsequence
Path in a graph that visits each vertex exactly once
Hamiltonian path. The computational problems of determining whether such paths and cycles exist in graphs are NP-complete; see Hamiltonian path problem for details
Hamiltonian_path
Computational problem
Motion planning, also path planning (also known as the navigation problem or the piano mover's problem) is a computational problem to find a sequence of
Motion_planning
minimum spanning tree of a set of points in the plane Longest path problem: find a simple path of maximum length in a given graph Minimum spanning tree
List_of_algorithms
Mathematical problem set on a chessboard
boards. The knight's tour problem is an instance of the more general Hamiltonian path problem in graph theory. The problem of finding a closed knight's
Knight's_tour
NP-hard problem in combinatorial optimization
computational complexity of the problem; see Hamiltonian path problem. Another related problem is the bottleneck travelling salesman problem: Find a Hamiltonian cycle
Travelling_salesman_problem
Task of computing complete subgraphs
algorithms for the longest decreasing subsequence problem. Conversely, every instance of the longest decreasing subsequence problem can be described equivalently
Clique_problem
Computational problem in graph theory
finding the longest possible induced path in a hypercube; it can be viewed as a special case of the induced subgraph isomorphism problem. There is a similar
Snake-in-the-box
Directed graph with no directed cycles
take a team of workers to perform the task. The longest path in this DAG represents the critical path of the project, the one that controls the total
Directed_acyclic_graph
Algorithm for finding the shortest paths in graphs
shortest paths from a single source vertex to all of the other vertices in a weighted digraph. It is slower than Dijkstra's algorithm for the same problem, but
Bellman–Ford_algorithm
Complexity class
optimization problem Minimum vertex cover Maximum clique Longest simple path Graph coloring; an application: register allocation in compilers Lists of problems Lists
NP-hardness
its vertex-deleted subgraphs. The snake-in-the-box problem: what is the longest possible induced path in an n {\displaystyle n} -dimensional hypercube graph
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Node ordering for directed acyclic graphs
resulting matrix describes the longest path distances in the graph. Sorting the vertices by the lengths of their longest incoming paths produces a topological
Topological_sorting
Topics referred to by the same term
in a field of view Diameter (computational geometry), the problem of computing the longest distance between two of n {\displaystyle n} given points or
Diameter_(disambiguation)
Graph made from a subset of another graph's nodes and their edges
Induced paths are induced subgraphs that are paths. The shortest path between any two vertices in an unweighted graph is always an induced path, because
Induced_subgraph
Chess composition whose solution is a mate or other clear objective
pieces of the chessboard. A famous such problem is the knight's tour, in which one is to determine the path of a knight that visits each square of the
Chess_problem
Computational problems no algorithm can solve
Determining if a particle path of an ideal fluid on a three dimensional domain eventually reaches a certain region in space. The problem of determining if a
List_of_undecidable_problems
Rapid transit system in the northeast US
through the Holland Tunnel. The 81-day strike was the longest in PATH's history. Substantial growth in PATH ridership during the 1980s required expansion and
PATH_(rail_system)
Auxiliary data structure to the suffix array in computer science
science, the longest common prefix array (LCP array) is an auxiliary data structure to the suffix array. It stores the lengths of the longest common prefixes
LCP_array
On Hamiltonian cycles in toroidal graphs
toroidal graph has a Hamiltonian path. Kawarabayashi, Ken-ichi; Niu, Jianbing; Zhang, Cun-Quan (2007), "Chords of longest circuits in locally planar graphs"
Grünbaum–Nash-Williams conjecture
Grünbaum–Nash-Williams_conjecture
Head of the Catholic Church
Saint Peter and Saint Paul in the first century. The papacy is one of the longest enduring institutions in the world and has been a prominent force in human
Pope
Sufficiently long sequences of numbers have long monotonic subsequences
is of length at least s. Longest increasing subsequence problem Erdős, Paul; Szekeres, George (1935), "A combinatorial problem in geometry", Compositio
Erdős–Szekeres_theorem
Statistical tool used in project management
the critical path and if any activities have slack. The critical path is the path that takes the longest to complete. To determine the path times, add the
Program evaluation and review technique
Program_evaluation_and_review_technique
"2010 Jacqueline Donnet Emerging Documentary Filmmaker Award—Cutting a Path of Understanding: Jeff Malmberg". International Documentary Association.
List of films with the longest production time
List_of_films_with_the_longest_production_time
Overview of and topical guide to algorithms
algorithm Graph coloring Clique problem Independent set (graph theory) Hamiltonian path problem Travelling salesman problem String-searching algorithm Knuth–Morris–Pratt
Outline_of_algorithms
This is a list of longest prison sentences served by a single person, worldwide, without a period of freedom followed by a second conviction. These cases
List of longest prison sentences served
List_of_longest_prison_sentences_served
Mathematical puzzle game
different shortest paths. From every arbitrary distribution of disks, there are one or two different longest non-self-crossing paths to move all disks
Tower_of_Hanoi
Methodic assignment of colors to elements of a graph
k-coloring if and only if it has an acyclic orientation for which the longest path has length at most k; this is the Gallai–Hasse–Roy–Vitaver theorem (Nešetřil
Graph_coloring
the number of edges on the shortest path from the root of the tree to node v. It is possible to solve this problem in constant time per query, after a
Level_ancestor_problem
Undirected, connected, and acyclic graph
longest downward path to a leaf from that vertex. The height of the tree is the height of the root. The depth of a vertex is the length of the path to
Tree_(graph_theory)
2000 (2000-11-04) 805 10.72 First episode of a four-part storyline, the longest in the series, which aired over four weeks during the November sweeps in
List of Walker, Texas Ranger episodes
List_of_Walker,_Texas_Ranger_episodes
Animated educational children's TV series
season, focusing more on environmental science. Cyberchase is the sixth longest-running animated series in the United States, behind The Simpsons, South
Cyberchase
Node labeling problem in graph theory
In graph theory, the graph bandwidth problem may be visualized as placing the vertices of a given graph at distinct integer positions along the number
Graph_bandwidth
Category of routing problem minimizing total distance and time
minimized the duration of the longest route with a fixed maximum number of vehicles. There are generalizations of arc routing problems that introduce multiple
Arc_routing
Minimizing problem in computer programming
computer science, such as the lowest common ancestor problem and the longest common prefix problem (LCP). Given an array A[1 … n] of n objects taken from
Range_minimum_query
American Indian civil rights organization
relations with several tribes which were determined to be far along the path of assimilation. These policies were enacted by the United States Congress
American_Indian_Movement
German schlager musician and songwriter
mögen’s heiß Some Like it Hot Wolfgang Petry 1991 Wo ist das Problem? Where's the Problem? Wolfgang Petry 1992 Verlieben, verloren, vergessen, verzeih’n
Wolfgang_Petry
String-searching algorithm
is the longest possible strict suffix of it in the graph. For example, for node (caa), its strict suffixes are (aa) and (a) and (). The longest of these
Aho–Corasick_algorithm
Mathematical concept
been completed. In this case, the makespan can be computed from the longest path in the oriented graph, which can be found in polynomial time for directed
Disjunctive_graph
Former population control policy in China
contraceptive choices". China Daily. Kallgren, Joice K. (2007). "Review of China's Longest Campaign: Birth Planning in the People's Republic, 1949-2005 by Tyrene
One-child_policy
Tree connecting given points by short paths
points in a metric space is a spanning tree in which the diameter (the longest path length in the tree between two of its points) is as small as possible
Minimum-diameter spanning tree
Minimum-diameter_spanning_tree
Set of all vertices of minimum eccentricity
1-center problem and can be extended to the vertex k-center problem. Finding the center of a graph is useful in facility location problems where the
Graph_center
1952 novel by John Steinbeck
becomes an important symbol in the novel of a person's power to choose their paths, meaning that human beings are neither compelled to pursue sainthood nor
East_of_Eden_(novel)
Path for mostly non-motorized travel through a natural area
Path, the Pembrokeshire Coast Path, the Pennine Bridleway (bridleway), the South West Coast Path (South West Way) (the longest), and the Thames Path,
Trail
Academic field
shortest path problem, transport problem, transshipment problem, location problem, matching problem, assignment problem, packing problem, routing problem, critical
Network_science
project, but she soon discovers that the woman has an unpleasant hygiene problem. 9 9 "Thanksgiving" Mark Cendrowski Kirker Butler November 22, 2002 (2002-11-22)
List of What I Like About You episodes
List_of_What_I_Like_About_You_episodes
Subfield of computer science
the length of the longest series of operations that have to be performed sequentially due to data dependencies (the critical path). The depth may also
Analysis of parallel algorithms
Analysis_of_parallel_algorithms
Total eclipse over North America
occurring about a day after perigee. With a magnitude of 1.0566, the eclipse's longest duration of totality was 4 minutes and 28 seconds near the Mexican town
Solar eclipse of April 8, 2024
Solar_eclipse_of_April_8,_2024
Maximum length of time a computed task could take to execute
measurements place a high burden on software testing to achieve the longest path; counting instructions is only applicable to simple software and hardware
Worst-case_execution_time
Diagram that represents a workflow or process
This diagrammatic representation illustrates a solution model to a given problem. Flowcharts are used in analyzing, designing, documenting or managing a
Flowchart
Single-stage mountain ultramarathon held in Chamonix, France
approximately 170 km long, with about 10,000 m of elevation gain. It is the longest and flagship race of UTMB Mont-Blanc, the annual event week held around
Ultra-Trail_du_Mont-Blanc
Simulation technique in computer hardware design
identifying the critical path involves analyzing the longest topological path through a logic network. However, not all topological paths are functionally feasible
Static_timing_analysis
List of web series episodes
contestants. The first challenge is to see who can stay on a balance beam the longest. Two of the objects, Leafy and Pin, win the first contest and get to organize
List of Battle for Dream Island episodes
List_of_Battle_for_Dream_Island_episodes
Buddhist term for aspirant to enlightenment
skillful means (upāya). Mahāyāna Buddhism generally understands the bodhisattva path as being open to everyone, and Mahāyāna Buddhists encourage all individuals
Bodhisattva
Decade of the Gregorian calendar (2000–2009)
supportive of Maoist political sentiment and ideology. It is presently the longest continuously active conflict worldwide. In 2006 Prime Minister Manmohan
2000s
Shape that blocks all lines of sight
forests. Opaque sets were introduced by Stefan Mazurkiewicz in 1916, and the problem of minimizing their total length was posed by Frederick Bagemihl in 1959
Opaque_set
Set of multimedia webcomics by Andrew Hussie
adventure. It is the second-longest comic on the website so far, after Homestuck, with 1,674 pages. Homestuck is the longest adventure hosted on MS Paint
MS_Paint_Adventures
Optimization problem
graph. bounded height: The length of the longest directed path is capped at a fixed value. (A directed path is a sequence of jobs where each job except
Optimal_job_scheduling
Defunct railway tunnel in Somerset, England
the UK's longest without intermediate ventilation. The tunnel now forms part of the £1.8 million Two Tunnels Greenway walking and cycling path opened on
Combe_Down_Tunnel
Experiments examining the average path length for social networks
small world problem. An alternative view of the problem is to imagine the population as a social network and attempt to find the average path length between
Small-world_experiment
America Holden and Charlotte kiss for 6 minutes breaking the record for longest kiss in a movie. Chicken Little The start of the end credits features the
List of films with post-credits scenes
List_of_films_with_post-credits_scenes
Longest distance between two vertices
shortest-path distance in the graph. Diameter may be considered either for weighted or for unweighted graphs. Researchers have studied the problem of computing
Diameter_(graph_theory)
2024 diss track by Kendrick Lamar
40 million radio airplay audience impressions, and 8,000 copies sold. It is the longest-running solo chart-topper of Lamar's career, surpassing "Humble". In October
Not_Like_Us
Tree containing all suffixes of a given text
also provided one of the first linear-time solutions for the longest common substring problem. These speedups come at a cost: storing a string's suffix tree
Suffix_tree
Kind of binary decision diagram
so the longest such paths are Hamiltonian, with a size of 2,707,075. ZDDs in this case, are efficient for simple paths and Hamiltonian paths. Define
Zero-suppressed decision diagram
Zero-suppressed_decision_diagram
Area of loose particles at the edge of a body of water
finer sediments are deposited by percolating water. Amongst the world's longest beaches are: Praia do Cassino (240 kilometres [150 mi]) in Brazil; Eighty
Beach
Deliberate death by means of a railway vehicle
methods like jumping from a moving train and jumping from a bridge into the path of an approaching train. A railway suicide can also be committed by a vehicle
Rail_suicide
Dispute over sovereignty and independence of Taiwan
as occupation by the Dutch, Spanish, Manchu-Qing dynasty, and Japanese; path to becoming a prominent Asian democracy; and the strained relation with modern-day
Political_status_of_Taiwan
Shell command for comparing file content
other. The operation of diff is based on solving the longest common subsequence problem. In this problem, given two sequences of items: a b c d f g h j q
Diff
Tree node with two other nodes as descendants
this algorithm is O(h) where h is the height of the tree (length of longest path from a leaf to the root). However, there exist several algorithms for
Lowest_common_ancestor
Path on an edge-colored graph over which no color repeats
is the diameter of G {\displaystyle G} (i.e. the length of the longest shortest path). On the other hand, we can never use more than m {\displaystyle
Rainbow_coloring
Model of computation
circuit. The depth of a gate g {\displaystyle g} is the length of the longest path in G {\displaystyle G} beginning at g {\displaystyle g} up to an output
Circuit_(computer_science)
independent candidate in the riding was endorsed by the NDP afterward. The Longest Ballot Committee targeted Poilievre's Carleton riding, which had 83 independents
2025 Canadian federal election
2025_Canadian_federal_election
Pattern of movement across water
offset from the path of the wake source by around arcsin(1/3) = 19.47° and is made up of feathery wavelets angled at roughly 53° to the path. The inside of
Kelvin_wake_pattern
Close-loop rubber band used in motorized conveying system
[citation needed] The longest conveyor belt is that of the Bou Craa phosphate mine in Western Sahara (1973, 98 km in 11 sections). The longest single-span conveyor
Conveyor_belt
Among the events celebrating the bicentenary of the Italian flag, was the longest tricolour in history, which also entered the Guinness World Records at
Flag_of_Italy
Political party in the United States
military planes have left Afghanistan, marking the end of the United States' longest war". CNN Politics. CNN. Archived from the original on September 11, 2021
Democratic Party (United States)
Democratic_Party_(United_States)
Shape bounded by non-intersecting line segments
geometry problems, including point in polygon testing, area computation, the convex hull of a simple polygon, triangulation, and Euclidean shortest paths. Other
Simple_polygon
Algorithm for virtual memory implementation
processor time) of the algorithm itself. The page replacing problem is a typical online problem from the competitive analysis perspective in the sense that
Page_replacement_algorithm
Suspension bridge in New York City
span was the longest of any suspension bridge in the world until the Humber Bridge was completed in 1981. The bridge has the 18th-longest main span in
Verrazzano–Narrows_Bridge
Common term for the state of not wearing any footwear
world record (pending confirmation by Guinness World Records) for the longest distance run barefoot on June 5, 2010, as part of the Relay for Life fundraiser
Barefoot
Technique to compress data
a problem first applied to circuit design. Length-limited Huffman coding is a variant where the goal is still to achieve a minimum weighted path length
Huffman_coding
artist—at 77—to enter the chart. She held the previous record for the longest span between a first and most recent number-one single on the US Billboard
Cultural_impact_of_Cher
Major League Baseball franchise in Cleveland, Ohio
1948). The team's World Series championship drought since 1948 is the longest active among all 30 current Major League teams. The team's name references
Cleveland_Guardians
Attitudes and behaviors towards sex in ancient Rome
religion of Cybele and the Attis myth are explored by Catullus in one of his longest poems, Carmen 63. Roman men were free to have sex with males of lower status
Sexuality_in_ancient_Rome
Misaligned timing signals from different paths
source register's clock to Q delay, path max {\displaystyle {\text{path}}_{\text{max}}} is the path with the longest delay from source to destination, J
Clock_skew
Country in West Asia
in the West Bank and considers Israel's control of the area to be the longest military occupation in modern history. The West Bank was occupied and annexed
Israel
Experiences with software design
see and what they do, in comparison to the related web design term click path which is just a plain list of the text URLs that are hit when a user follows
User_journey
Americans of Filipino descent
only to Mexico and ahead of India, Vietnam and China. Filipinos have the longest waiting times for family reunification visas, as Filipinos disproportionately
Filipino_Americans
Ongoing armed conflict in Southeast Asia
forces also conducted an offensive throughout Thayetchaung Township, the longest of such offensives in Tanintharyi Region since the 2021 coup. The offensive
Myanmar civil war (2021–present)
Myanmar_civil_war_(2021–present)
2024 aircraft shootdown over Russia
manufactured on 26 June 2013, was an Embraer E190AR (Advanced Range), the longest range variant of the aircraft. It was registered as 4K-AZ65, and named
Azerbaijan Airlines Flight 8243
Azerbaijan_Airlines_Flight_8243
LONGEST PATH-PROBLEM
LONGEST PATH-PROBLEM
Male
Irish
Short form of Irish Gaelic Parthalán, possibly PARTH means "son of Talmai."
Female
Hebrew
(בַּת-ש×ֶבַע) Hebrew name BATH-SHEBA means "daughter of the oath." In the bible, this is the name of a wife of Uriah then later King David, and mother of Solomon. Also spelled Bat-Sheva, Bathsheba, and Bathsheva.
Female
Hebrew
(×Ö¸×¡Ö°× Ö·×ª) Hebrew name of Egyptian origin, ACÄ”NATH means "belonging to the goddess Neith." In the bible, this is the name of Joseph's Egyptian wife.
Boy/Male
Hindu, Indian, Tamil
Lord Shiva
Female
Hebrew
(בַּתש×וּעַ) Variant spelling of Hebrew Bath-Shuwa, BATH-SHUA means "daughter of wealth."Â
Boy/Male
Hindu, Indian, Tamil, Unique
Leadership for World; Lord Shiva
Female
Hebrew
(בַּתש×וּעַ) Hebrew name BATH-SHUWA means "daughter of wealth." In the bible, this is another name Bath-Sheba is known by.
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’.
Surname or Lastname
English (Bath)
English (Bath) : unexplained.
Female
English
Short form of English Katherine, KATH means "pure."
Boy/Male
Hindu
Female
English
English short form of French Catherine, CATH means "pure."
Surname or Lastname
English (mainly Devon)
English (mainly Devon) : variant of Pate 1.
Boy/Male
Arabic, Modern
Road; The Way
Male
English
English unisex short form of English Patrick and Latin Patricia, PAT means "patrician; of noble birth."
Boy/Male
Hindu
Name of a God
Girl/Female
Australian, British, English
Way
Surname or Lastname
English
English : possibly a reduced form of Longhurst.
Surname or Lastname
English (Bristol and Bath)
English (Bristol and Bath) : unexplained.
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.
LONGEST PATH-PROBLEM
LONGEST PATH-PROBLEM
Girl/Female
Indian
Perception, Intelligence, Life, Vigour, *, Vigour, Sunflower seed
Boy/Male
Hindu, Indian, Traditional
Ever Solid; Never Yielding
Boy/Male
Arabic
Ornament of the Kingdom
Surname or Lastname
English
English : variant spelling of Costain.
Girl/Female
Hindu, Indian
Target; Candle; Aim
Boy/Male
Hindu
Songs of worship, Famous, Prayer
Female
Hindi/Indian
(Bengali নীলা): Hindi name NILA means "sky blue."
Girl/Female
English Latin
Follower of Christ.
Boy/Male
English
From the Shouter's Meadow
Boy/Male
Hindu
Lord Murugan, Always youth
LONGEST PATH-PROBLEM
LONGEST PATH-PROBLEM
LONGEST PATH-PROBLEM
LONGEST PATH-PROBLEM
LONGEST PATH-PROBLEM
pl.
of Path
n.
A small piece of anything used to repair a breach; as, a patch on a kettle, a roof, etc.
a.
Longer; longest; -- obsolete compar. and superl. of long.
a.
Characterized by integrity or fairness and straight/forwardness in conduct, thought, speech, etc.; upright; just; equitable; trustworthy; truthful; sincere; free from fraud, guile, or duplicity; not false; -- said of persons and acts, and of things to which a moral quality is imputed; as, an honest judge or merchant; an honest statement; an honest bargain; an honest business; an honest book; an honest confession.
n.
A small mass, as of butter, shaped by pats.
v. t.
To make a path in, or on (something), or for (some one).
pr.p. & vb. n.
of Path
v. t.
To mend by sewing on a piece or pieces of cloth, leather, or the like; as, to patch a coat.
n.
Fig.: Anything regarded as a patch; a small piece of ground; a tract; a plot; as, scattered patches of trees or growing corn.
n.
Hence: The which contains the strength of life; the vital or essential part; concentrated force; vigor; strength; importance; as, the speech lacked pith.
v. t.
To mend with pieces; to repair with pieces festened on; to repair clumsily; as, to patch the roof of a house.
v. t.
To adorn, as the face, with a patch or patches.
n.
The act of exposing the body, or part of the body, for purposes of cleanliness, comfort, health, etc., to water, vapor, hot air, or the like; as, a cold or a hot bath; a medicated bath; a steam bath; a hip bath.
a.
Open; frank; as, an honest countenance.
imp. & p. p.
of Path
adv.
In a pat manner.
n.
One who longs for anything.
n.
A way, course, or track, in which anything moves or has moved; route; passage; an established way; as, the path of a meteor, of a caravan, of a storm, of a pestilence. Also used figuratively, of a course of life or action.