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Graph path which is an induced subgraph
the mathematical area of graph theory, an induced path in an undirected graph G is a path that is an induced subgraph of G. That is, it is a sequence of
Induced_path
Sequence of edges which join a sequence of vertices on a given graph
each pair of vertices. A path such that no graph edges connect two nonconsecutive path vertices is called an induced path. A path that includes every vertex
Path_(graph_theory)
Graph made from a subset of another graph's nodes and their edges
unambiguous) the induced subgraph of S {\displaystyle S} . Important types of induced subgraphs include the following. Induced paths are induced subgraphs that
Induced_subgraph
Topics referred to by the same term
innovation Induced character Induced coma Induced menopause Induced metric Induced path Induced topology Induce (musician), American musician Labor induction
Induce
Path in a graph that visits each vertex exactly once
In the mathematical field of graph theory, a Hamiltonian path (or traceable path) is a path in an undirected or directed graph that visits each vertex
Hamiltonian_path
vertices which are endpoints of the matching edges (it is an induced subgraph). An induced matching can also be described as an independent set in the
Induced_matching
Graph made from disjoint union of complete graphs
Equivalently, a graph is a cluster graph if and only if it has no three-vertex induced path; for this reason, the cluster graphs are also called P3-free graphs.
Cluster_graph
Graph whose biconnected components are all cliques
induced paths between the same two vertices have the same length, a weakening of the characterization of block graphs as having at most one induced path
Block_graph
Computational problem in graph theory
called finding the longest possible induced path in a hypercube; it can be viewed as a special case of the induced subgraph isomorphism problem. There
Snake-in-the-box
Triangle-free graph requiring four colors
any six-vertex induced paths. These properties are close to being enough to characterize these graphs: the Grötzsch graph is an induced subgraph of the
Grötzsch_graph
Problem of finding the longest simple path for a given graph
relation between longest paths and graph coloring Longest uncrossed knight's path Snake-in-the-box, the longest induced path in a hypercube graph Price's
Longest_path_problem
Special case of the perfect graphs in graph theory
vertices of G, such that every induced subgraph of G is optimally colored by the greedy algorithm using the subsequence of π induced by the vertices of the subgraph
Perfectly_orderable_graph
Graph where any two induced paths between nodes both have odd or even lengths
parity graph is a graph in which all induced paths between the same two vertices have the same parity: either all paths have odd length, or all have even
Parity_graph
endpoints in the subset. Special cases include induced paths and induced cycles, induced subgraphs that are paths or cycles. inductive Synonym for degenerate
Glossary_of_graph_theory
completion Hamiltonian path problem, directed and undirected. Induced subgraph isomorphism problem Graph intersection number Longest path problem Maximum bipartite
List_of_NP-complete_problems
American mathematician (born 1977)
thesis was titled Bounding the Number of Graphs Containing Very Long Induced Paths. He completed a doctorate at the University of California, San Diego
Steve_Butler_(mathematician)
subgraphs. The snake-in-the-box problem: what is the longest possible induced path in an n {\displaystyle n} -dimensional hypercube graph? Sumner's conjecture:
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Theorem in geometry about convex sets
of the given graph. For related results involving shortest paths instead of induced paths see Chepoi (1986) and Bandelt & Pesch (1989). Clarkson et al
Radon's_theorem
Graph formed by adding isolated or universal vertices
forbidden induced subgraphs. A cograph is a graph with no induced path on four vertices, P4, and a threshold graph is a graph with no induced P4, C4 nor
Threshold_graph
One of two different regular graphs with 16 vertices
four-chromatic graph with no induced path of length six or more is an induced subgraph of the Clebsch graph and an induced supergraph of the Grötzsch graph
Clebsch_graph
horoballs, and where Ω {\displaystyle \Omega } is equipped with the induced path metric. A. S. Švarc, A volume invariant of coverings (in Russian), Doklady
Švarc–Milnor_lemma
Graph whose induced subgraphs preserve distance
which the distances in any connected induced subgraph are the same as they are in the original graph. Thus, any induced subgraph inherits the distances of
Distance-hereditary_graph
Graph formed by complementation and disjoint union
nontrivial induced subgraph has at least two vertices with the same neighbourhoods. A cograph is a graph in which every nontrivial connected induced subgraph
Cograph
vertices into two subsets, such that the induced subgraph formed by one of the two subsets is disconnected and the induced subgraph formed by the other subset
Skew_partition
Graph with tight clique-coloring relation
that these are the only forbidden induced subgraphs for the perfect graphs: a graph is perfect if and only if its induced subgraphs include neither an odd
Perfect_graph
Electrical configuration allowing electricity to cross between grounded devices
through it, the larger the induced currents will be. Since its resistance is typically very low, often less than 1 ohm, the induced currents can be large.
Ground_loop_(electricity)
Pluripotent stem cell generated directly from a somatic cell
Induced pluripotent stem cells (also known as iPS cells or iPSCs) are a type of pluripotent stem cell that can be generated directly from a somatic cell
Induced_pluripotent_stem_cell
Redirection of ejaculated semen into the urinary bladder
the path of least resistance. When the bladder sphincter does not function properly, retrograde ejaculation may occur. It can also be induced deliberately
Retrograde_ejaculation
Graph divided into two independent sets
Parity graph, a generalization of bipartite graphs in which every two induced paths between the same two points have the same parity Quasi-bipartite graph
Bipartite_graph
Actions for personal spiritual development
world's great religions is that of walking a path. Therefore, a spiritual practice moves a person along a path towards a goal. The goal is variously referred
Spiritual_practice
Perfect graphs have neither odd holes nor odd antiholes
may be decomposed into induced subgraphs called "blocks", by replacing one of the two subsets of vertices by a shortest path within that subset that
Strong_perfect_graph_theorem
characterization of the cographs (they are the graphs with no four-vertex induced path) corresponds to the two four-element forbidden patterns of the separable
Separable_permutation
Phenomenon in which supply increases lead to a cycle of increased consumption
model of supply and demand. In transportation planning, induced demand, also called "induced traffic" or consumption of road capacity, has become important
Induced_demand
provide a finite representation. Ancestral graphs are closely related to inducing path graphs (IPGs), another graphical representation for causal systems with
Ancestral_graph
Shared psychosis, a psychotic disorder
refer to the syndrome as shared psychotic disorder (DSM-IV – 297.3) and induced delusional disorder (ICD-10 – F24), although the research literature largely
Folie_à_deux
1976 novel by Frank Herbert
spice-induced visions show him myriad possible futures where humanity becomes extinct and only one where it survives. He names this future "The Golden Path"
Children_of_Dune
Convex polytope constructed recursively
characterizes in two ways: the graphs with no induced path of length three, and the graphs whose induced subgraphs are all either disconnected or the complements
Hanner_polytope
Philosophical and theological term
the brain are involved. Moreover, experimenters have also successfully induced spiritual experiences in individuals by administering psychoactive agents
Spirituality
Liver damage caused by a drug or chemical
Hepatotoxicity refers to chemical-driven liver damage. Drug-induced liver injury (DILI) is a cause of acute and chronic liver disease caused specifically
Hepatotoxicity
Graph where every connected induced subgraph has a universal vertex
that do not have a P4 path graph or a C4 cycle graph as induced subgraphs. They are the graphs in which every connected induced subgraph contains a universal
Trivially_perfect_graph
can be dangerous to aviation if it reaches the heights of aircraft flight paths. Pilots can't see ash clouds at night. Also, ash particles are too small
Volcanic ash and aviation safety
Volcanic_ash_and_aviation_safety
graphs in which every five vertices contain at most one four-vertex induced path. The complexity status has also been settled for the H-free graph sandwich
Graph_sandwich_problem
Electroshock weapon
directed-energy weapon. It uses lasers to form an electrically conductive laser-induced plasma channel (LIPC). A fraction of a second later, a powerful electric
Electrolaser
Basic law of electromagnetism
deformation of its shape. The direction of the induced emf is given by Lenz's law, which states that the induced current will flow in such a way that its magnetic
Faraday's_law_of_induction
Topological space that is connected
induced by two-dimensional Euclidean space. A path-connected space is a stronger notion of connectedness, requiring the structure of a path. A path from
Connected_space
Graph without four-vertex star subgraphs
maximum independent set by even cycles and so called augmenting paths: induced paths which alternate between vertices not in I {\displaystyle I} and vertices
Claw-free_graph
Directed graph with no directed cycles
most one directed path between any two vertices. Equivalently, it is a DAG in which the subgraph reachable from any vertex induces an undirected tree
Directed_acyclic_graph
the graph of the instance they produce is a subgraph of the induced graph, if the induced width is bounded by a constant the generated instance is of
Local_consistency
Indian religion and philosophy
the West in the 20th century. According to tradition, the Buddha taught a path of cultivation that leads to awakening and liberation from dukkha (often
Buddhism
Semiconductor light source
conceptualization of UV light-emitting diodes (LEDs) to be incorporated in light-induced fluorescence sensors used for biological agent detection. In 2004, the
Light-emitting_diode
Numerical invariant of graphs
property of graphs that is monotonic with respect to induced subgraphs has finitely many forbidden induced subgraphs, and therefore may be tested in polynomial
Tree-depth
have keen eyes. He told Naruki to observe Layfon and said he walks in a path different from his age. Note: He is not a Military Artist. Voiced by: Fuyuka
List of Chrome Shelled Regios characters
List_of_Chrome_Shelled_Regios_characters
Iron Age culture in central Italy
the original on 2025-05-06. Blake, Emma (2013-04-11). "Social Networks, Path Dependence, and the Rise of Ethnic Groups in pre-Roman Italy". In Knappett
Latial_culture
Physics experiment
atoms and molecules. The experiment belongs to a general class of "double path" experiments, in which two diffracted waves reconverge, creating an interference
Double-slit_experiment
Engineer, inventor, academic and author
three-dimensional convection patterns and unicellular flow development in buoyancy-induced convection. Looking into buoyancy-driven convection in an open-ended cavity
Kambiz_Vafai
Mental phenomenon of holding contradictory beliefs
applied interventions as a catalyst for attitudinal change, such as in the induced hypocrisy paradigm, shaping pro-social behaviours or disengaging and deradicalising
Cognitive_dissonance
Describing a family of graphs by excluding certain (sub)graphs
graphs from the family which contain any of these forbidden graphs as (induced) subgraph or minor. A prototypical example of this phenomenon is Kuratowski's
Forbidden graph characterization
Forbidden_graph_characterization
French religious civil war
fornicators' so that they might avoid god's wrath. The first town on the path to Paris was Pithiviers which was conquered on 11 November, with the garrison
First French War of Religion (1562–1563)
First_French_War_of_Religion_(1562–1563)
Animal disruptions of power grids
Nasdaq was shut down for about 30 minutes again in 2014 by a squirrel-induced power outage. Other commentators have noted that actual cyber attacks by
Electrical disruptions caused by squirrels
Electrical_disruptions_caused_by_squirrels
1936 killing of Spanish monarchist leader
in arousing support for it among sectors of the population". It also induced the passivity of democratically oriented military personnel when it came
Assassination of José Calvo Sotelo
Assassination_of_José_Calvo_Sotelo
Graphoid math statements
cannot be completely characterized by a finite set of axioms. Graph-induced and DAG-induced graphoids are both contained in probabilistic graphoids. This means
Graphoid
American professional golfer (born 1993)
something I regret. I brought it upon myself. Any negative press was self-induced and probably deserved. ... I feel like I matured a lot this year. You learn
Wyndham_Clark
widespread acceptance, and subsequent Lutheran theology took a different path, but his views were supported by court theologians of Duke Johann Friedrich
Predestination in Protestantism
Predestination_in_Protestantism
Production of voltage by a varying magnetic field
Faraday's law of induction. Lenz's law describes the direction of the induced field. Faraday's law was later generalized to become the Maxwell–Faraday
Electromagnetic_induction
combined them". The Salt Lake Tribune. Retrieved April 8, 2026. "Fire-Induced Tornado at Deer Creek Wildfire - July 12, 2025". weather.gov. Grand Junction
Tornadoes_of_2025
Economic growth strategy
should be based on this strategy. The path of unbalanced growth is described by three phases: Complementary Induced investment External economies Singer
Strategy_of_unbalanced_growth
2026 action-adventure video game
possible solutions, but ultimately funnelled them towards a specific intended path. However, he praised the game's close-quarters combat, as well as its "bluffing"
007_First_Light
2025 film by Scott Derrickson
employed by the Kremlin, guards the east tower. Levi suffers from PTSD-induced nightmares, while Drasa's terminally ill father Erikas plans to die by
The_Gorge_(film)
Overview of genocides from 1945
Survive in a City. The Marshes are Our Life": An Analysis of Ecologically Induced Genocide in the Iraqi Marshes". Journal of Genocide Research. 23 (2): 279–301
Genocides in history (1946 to 1999)
Genocides_in_history_(1946_to_1999)
American poet and writer (1932–1963)
father's grave later prompted Plath to write the poem "Electra on Azalea Path". After Otto's death, Aurelia moved her children and her parents to 26 Elmwood
Sylvia_Plath
Loss of hair from the head or body
miniaturization or causing damage.[citation needed] Obesity. Obesity-induced stress, such as that induced by a high-fat diet (HFD), targets hair follicle stem cells
Hair_loss
Solar-cell architecture
external power supply. This process is known as Light-induced Plating (LIP); as opposed to field-induced plating (FIP) for the p-type side. Alternatively,
Heterojunction_solar_cell
Fourth season of anime television series
that the path is laden with madness-inducing miasma and convinces the others to go left this time. However, this leads them to cross paths with a powerful
Re:Zero_season_4
Electrical action produced by a non-electrical source
closed loop C {\displaystyle C} may be nonzero. Then, the "induced emf" (often called the "induced voltage") in the loop is: E C = ∮ C E ⋅ d ℓ = − d Φ C d
Electromotive_force
Flow induced by force in a fluid
in a thin-walled structure. In fluid dynamics, shear flow is the flow induced by a force in a fluid. For thin-walled profiles, such as that through a
Shear_flow
provoked strikes and peasant demonstrations throughout Italy. The unrest induced De Gasperi to pass agrarian reform measures targeting specific territories
History_of_Calabria
Imbalance of electric charges within or on the surface of a material
neutralized when brought close to an electrical conductor (for example, a path to ground), or a region with an excess charge of the opposite polarity (positive
Static_electricity
Category 5 Atlantic hurricane in 2024
individuals with chronic diseases after hurricanes Helene and Milton". Tobacco Induced Diseases. 23. doi:10.18332/tid/203427. ISSN 1617-9625. PMC 12042274. PMID 40309025
Hurricane_Milton
Interferometric technique
by the beating of two beams coming from optical path difference. Therefore, the reference optical path is no longer necessary for measurement and relies
Self-mixing_interferometry
Swiss historian (born 1944)
research focuses on the social dimension of climate change and nature induced disasters, and the reconstruction of past weather and climate change from
Christian Pfister (Swiss historian)
Christian_Pfister_(Swiss_historian)
American baseball player (born 2002)
twelve batters in six frames, including a near-immaculate inning, and induced a league-leading twenty-one swings-and-misses. On July 11, 2025, Misiorowski
Jacob_Misiorowski
Japanese television series characters
Gozyuger. Episode 22. July 20, 2025. TV Asahi. "Endless Youth! This Is the True Path of a Party Person!". No.1 Sentai Gozyuger. Episode 46. January 18, 2026.
List of No.1 Sentai Gozyuger characters
List_of_No.1_Sentai_Gozyuger_characters
Prime Minister of Portugal from 1932 to 1968
politician – just one – like Salazar, our country would have followed a different path and we would not be going through our current misfortune situation." Belgian
António_de_Oliveira_Salazar
2024 film by Damien Leone
endured. Sienna is suffering from survivor's guilt and experiences PTSD induced hallucinations of deceased people who Art killed, including that of her
Terrifier_3
Series of events tied to two Miami television station sales
fending off a hostile takeover attempt by Ted Turner in 1985, CBS was induced to sell KMOX-TV in St. Louis to the original iteration of Viacom for $122
1989 South Florida television affiliation switch
1989_South_Florida_television_affiliation_switch
wreckage they find a cell phone of hers revealing a history of paranoia-induced 9-1-1 calls showing signs of schizophrenia. Owen gets good news about his
List of 9-1-1: Lone Star episodes
List_of_9-1-1:_Lone_Star_episodes
Periodic change in the direction of a rotation axis
refers to any of several gravity-induced, slow and continuous changes in an astronomical body's rotational axis or orbital path. Precession of the equinoxes
Precession
Quality control process in welding
conductive material is placed within this magnetic field, eddy currents are induced within the material. Eddy current instruments measured the inductive reactance
Welding_inspection
French political and religious crisis
The 1559–1562 French political crisis was induced by the sudden death of the King Henri II (otherwise known as Henry II) in July 1559. With his death
1559–1562 French political crisis
1559–1562_French_political_crisis
convicts before his execution, warning them to avoid the path he had pursued; but said that he was induced by hunger to commit the crime for which he suffered
List of people legally executed in New South Wales
List_of_people_legally_executed_in_New_South_Wales
Ocean during the Late Cretaceous. Evidence of earthquakes and seismically-induced deformations triggered by the Chicxulub impact is reported from the strata
2026_in_paleontology
Ground level manifestation of space weather
Geomagnetically induced currents (GICs) are electrical currents induced at the Earth's surface by rapid changes in the Earth's geomagnetic field caused
Geomagnetically induced current
Geomagnetically_induced_current
⊆ V {\displaystyle P\subseteq V} such that P {\displaystyle P} induces a shortest path between some vertex pair of G {\displaystyle G} , according to
Highway_dimension
Graphical representation of the pressure-temperature history of a metamorphic rock
The Pressure-Temperature-time path (P-T-t path) is a record of the pressure and temperature (P-T) conditions that a rock experienced in a metamorphic cycle
Pressure-temperature-time path
Pressure-temperature-time_path
Type of graph labeling
is even. Consider a path with two vertices, P2. Here the only possibility is to label the only edge in the graph 1. The induced labeling on the two vertices
Edge-graceful_labeling
2024 Italian-French biographical television series
Don Sturzo, secretary of the Italian People's Party, tries to block his path but Mussolini obtains his expulsion in exchange for concessions to the Church
Mussolini:_Son_of_the_Century
1923 coup d'état of Primo de Rivera in Spain
the way open to the military conspirators". According to Ben-Ami, "what induced King Alfonso to contemplate an extra-parliamentary "solution" was the resurrection
1923_Spanish_coup_d'état
Indian television series by Raj & DK
Farah (17 September 2021). "With good work coming my way, I am on the right path: Bhuvan Arora". Hindustan Times. Archived from the original on 5 February
Farzi
1990s art movement in Brooklyn, New York City
the cost of living in Williamsburg was corporate inflationary pricing induced by the city, not the DIY culture of artists, activists and local businesses
Brooklyn_Immersionists
Canadian psychologist (1870–1927)
Rose 1897, Chicago. Hand, Greg (June 7, 2022). "J.C.F. Grumbine's Spiritual Path Involved Larceny, Libel, Kidnapping, and Seduction". Cincinnati Magazine
Herbert_A._Parkyn
INDUCED PATH
INDUCED PATH
Surname or Lastname
English
English : reduced form of Goodenough.
Girl/Female
Indian, Punjabi, Sikh
Illuminated; Infused Lamp
Boy/Male
Sikh
Illuminated, infused lamp, Bright future
Girl/Female
Indian, Punjabi, Sikh
Absorbed; Imbued; Infused
Boy/Male
Gujarati, Hindu, Indian, Kannada, Marathi
Eashwar
Surname or Lastname
English
English : reduced form of Moberley.
Surname or Lastname
English
English : reduced form of Buttery.
Surname or Lastname
English
English : reduced form of Calverley.
Surname or Lastname
English
English : reduced form of Kimberley.
Surname or Lastname
English
English : reduced form of Pettaway.
Surname or Lastname
English
English : reduced form of Challender.
Surname or Lastname
Reduced form of McNutty, an unexplained Irish or Scottish name.English
Reduced form of McNutty, an unexplained Irish or Scottish name.English : unexplained.
Surname or Lastname
English
English : reduced form of Elkins.
Boy/Male
Sikh
Illuminated, infused lamp, Bright future
Surname or Lastname
English
English : reduced form of Postlethwait.
Surname or Lastname
English
English : reduced form of Gunnison.
Surname or Lastname
Reduced form of Irish McCann.English
Reduced form of Irish McCann.English : habitational name from Cann, a place in Dorset, named from Old English canna ‘can’, used in the transferred sense of a deep valley, or a topographic name from the same word used elsewhere in southwestern England.Americanized spelling of Kann or Kahn.
Surname or Lastname
Reduced form of Irish McCarley.English
Reduced form of Irish McCarley.English : habitational name from the hamlet of Carley in Lifton, Devon, possibly named with Cornish ker ‘fort’ + Old English lēah ‘woodland clearing’.Perhaps an Americanized form of German Kehrli or Kerle (see Kerley).
Surname or Lastname
English
English : reduced form of Betteridge.
Surname or Lastname
English
English : reduced form of Stevens.
INDUCED PATH
INDUCED PATH
Girl/Female
Indian, Sanskrit
Part of Speech
Girl/Female
Latin
Desired.
Male
Greek
(ΔÏάκων) Greek name DRAKON means "dragon." In Greek mythology, there are many dragons mentioned. For example, Drakon Ismenios was a gigantic serpent which guarded the sacred spring of Ismenos near Thebes; the Drakon Kholkikos was the guardian of the golden fleece; Drakon Maionios was a huge Dragon that ravaged the land of Lydia.
Girl/Female
Greek American
Sound. A mythological nymph who faded away until only her voice was left.
Boy/Male
English
From the broom covered meadow.
Boy/Male
Hindu
One who is strong
Boy/Male
Tamil
Ragvinder | ராகà¯à®µà¯€à®¨à®¤à®¾à®°
Ragvinder comes from the indian word and it is the second name of Lord Krishna
Boy/Male
American, Anglo, Australian, British, Christian, English, Indian
From the Heather Covered Hill; Child of the Heather-filled Valley
Boy/Male
Hindu, Indian, Malayalam, Marathi
King of Serpents; Sheshnaag
Boy/Male
Australian, Finnish, German, Swiss
Heir of the Ancestors; Descendent
INDUCED PATH
INDUCED PATH
INDUCED PATH
INDUCED PATH
INDUCED PATH
v. t.
To lead on; to influence; to prevail on; to incite; to move by persuasion or influence.
imp. & p. p.
of Induct
v. t.
To lead in; to introduce.
n.
The act of inducing, or the state of being induced.
adv.
In reality; in truth; in fact; verily; truly; -- used in a variety of sense. Esp.: (a) Denoting emphasis; as, indeed it is so. (b) Denoting concession or admission; as, indeed, you are right. (c) Denoting surprise; as, indeed, is it you? Its meaning is not intrinsic or fixed, but depends largely on the form of expression which it accompanies.
n.
A clergyman so inducted.
n.
One who, or that which, induces or incites.
p. pr. & vb. n.
of Induce
v. t.
To bring on; to effect; to cause; as, a fever induced by fatigue or exposure.
imp. & p. p.
of Induce
a.
Indued with humanity.
imp. & p. p.
of Indue
a.
Capable of being induced, caused, or made to take place.
a.
Of, pertaining to, or induced by, mesmerism; as, mesmeric sleep.
v. t.
To draw on; to overspread.
a.
Tending to induce or cause.
n.
The somnolent state induced by animal magnetism.
v. t.
To produce, or cause, by proximity without contact or transmission, as a particular electric or magnetic condition in a body, by the approach of another body in an opposite electric or magnetic state.
v. t.
To generalize or conclude as an inference from all the particulars; -- the opposite of deduce.
v. t.
To induce again.