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Graph representing incident points and lines
In combinatorial mathematics, a Levi graph or incidence graph is a bipartite graph associated with an incidence structure. From a collection of points
Levi_graph
Abstract mathematical system of two types of objects and a relation between them
to a bipartite graph called the Levi graph or incidence graph of the structure. As any bipartite graph is two-colorable, the Levi graph can be given a
Incidence_structure
Area of discrete mathematics
computer science, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A graph in this context
Graph_theory
Geometry with 7 points and 7 lines
has order 168. As with any incidence structure, the Levi graph of the Fano plane is a bipartite graph, the vertices of one part representing the points
Fano_plane
Generalization of graph theory
"incidence graph" or "Levi graph" corresponding to every hypergraph, and conversely, every bipartite graph can be regarded as the incidence graph of a hypergraph
Hypergraph
Undirected graph with 14 vertices
mathematical field of graph theory, the Heawood graph is an undirected graph with 14 vertices and 21 edges, named after Percy John Heawood. The graph is cubic, and
Heawood_graph
Distance-transitive cubic graph with 20 nodes and 30 edges
points of one decagon to the corresponding points of the other. It is the Levi graph of the Desargues configuration. This configuration consists of ten points
Desargues_graph
Study of graphs defined by geometric means
2009) states that every planar graph can be represented as the intersection graph of line segments in the plane. A Levi graph of a family of points and lines
Geometric_graph_theory
3-regular graph with 30 vertices and 45 edges
unique smallest cubic graph of girth 8, it is a cage and a Moore graph. It is bipartite, and can be constructed as the Levi graph of the generalized quadrangle
Tutte–Coxeter_graph
Graph divided into two independent sets
In the mathematical field of graph theory, a bipartite graph (or bigraph) is a graph whose vertices can be divided into two disjoint and independent sets
Bipartite_graph
Graphs formed by a hypercube's edges and vertices
graph Q 4 {\displaystyle Q_{4}} is the Levi graph of the Möbius configuration. It is also the knight's graph for a toroidal 4 × 4 {\displaystyle 4\times
Hypercube_graph
Matrix that shows the relationship between two classes of objects
matrix is also a biadjacency matrix of the Levi graph of the structure. As there is a hypergraph for every Levi graph, and vice versa, the incidence matrix
Incidence_matrix
Catalan solid with 12 faces
dodecahedron is called a rhombic dodecahedral graph, with 14 vertices and 24 edges. It is the Levi graph of the Miquel configuration (83 64). For edge
Rhombic_dodecahedron
Symbolic representation of information using visualization techniques
collective term standing for the whole class of technical genres, including graphs, technical drawings and tables. specific kind of visual display : This is
Diagram
edge-transitive graph is either regular or biregular. The Levi graphs of geometric configurations are biregular; a biregular graph is the Levi graph of an (abstract)
Biregular_graph
per circle and three circles through each point. Its Levi graph is the rhombic dodecahedral graph, the skeleton of the rhombic dodecahedron. The configuration
Miquel_configuration
Points and lines with equal incidences
most one point. That is, the girth of the corresponding bipartite graph (the Levi graph of the configuration) must be at least six. A configuration in the
Configuration_(geometry)
Bipartite, 3-regular undirected graph
field of graph theory, the Pappus graph is a bipartite, 3-regular, undirected graph with 18 vertices and 27 edges, formed as the Levi graph of the Pappus
Pappus_graph
Geometry theorem
as the theorem itself. The Levi graph of the Pappus configuration is the Pappus graph, a bipartite distance-regular graph with 18 vertices and 27 edges
Pappus's_hexagon_theorem
Geometric structure of 8 points and 8 lines
projective configuration of type (8383). The Möbius–Kantor graph derives its name from being the Levi graph of the Möbius–Kantor configuration. It has one vertex
Möbius–Kantor_configuration
Type of incidence structure
Cage. Incidence graphs of configurations are today generally called Levi graphs, but the original Levi graph was the incidence graph of the GQ(2,2). If
Generalized_quadrangle
is a generalized quadrangle with parameters (2,2). Its Levi graph is the Tutte–Coxeter graph. The points of the Cremona–Richmond configuration may be
Cremona–Richmond configuration
Cremona–Richmond_configuration
Unsolved problem in extremal graph theory
2 , 2 {\displaystyle K_{2,2}} may be obtained as the Levi graph, or point-line incidence graph, of a projective plane of order q {\displaystyle q} ,
Zarankiewicz_problem
Undirected bipartite graph with 112 vertices and 168 edges
51, −47, −33, 19, 51, −21, 29, 21, −31, −39]2. The Ljubljana graph is the Levi graph of the Ljubljana configuration, a quadrangle-free configuration
Ljubljana_graph
7-regular undirected graph with 50 nodes and 175 edges
of graph theory, the Hoffman–Singleton graph is a 7-regular undirected graph with 50 vertices and 175 edges. It is the unique strongly regular graph with
Hoffman–Singleton_graph
McKay–Miller–Širáň graphs by modifying the Levi graph of an affine plane over the field of order q {\displaystyle q} . The spectrum of a McKay–Miller–Širáň graph has
McKay–Miller–Širáň_graph
Symmetric bipartite cubic graph with 16 vertices and 24 edges
the Möbius–Kantor configuration. The Möbius–Kantor graph derives its name from being the Levi graph of the Möbius–Kantor configuration. It has one vertex
Möbius–Kantor_graph
Fewest graph edges whose removal breaks all cycles
of a hypergraph can be derived by its Levi graph, with the same cyclomatic number but reduced to a simple graph. It is r = g − ( v + e ) + c , {\displaystyle
Cyclomatic_number
through it, and each line has exactly three points on it. The Gray graph is the Levi graph of this configuration; it has a vertex for every point and every
Gray_graph
Field of mathematics which studies incidence structures
corresponding incidence graph (Levi graph), namely the length of the shortest path between two vertices in this bipartite graph. The distance between two
Incidence_geometry
Type of pseudorotation in chemistry
through successive pseudorotations to reach every possible arrangement. The Levi graph of trigonal bipyramidal isomers via Berry pseudorotations has D3d symmetry
Berry_mechanism
Undirected graph derived from a hypercube graph
of dimension five is the Clebsch graph. The folded cube graph of dimension six is the Kummer graph, i.e. the Levi graph of the Kummer point-plane configuration
Folded_cube_graph
Geometric configuration of ten points and lines
The Levi graph of the Desargues configuration, a graph having one vertex for each point or line in the configuration, is known as the Desargues graph. Because
Desargues_configuration
Arrangement of 30 points and 12 lines
color. The Levi graph of the double six may be obtained by replacing each edge of the crown graph by a two-edge path. The intersection graph of the entire
Schläfli_double_six
Geometric system of two mutually inscribed tetrahedra
surfaces of three-dimensional space than the latter configuration. The Levi graph of the Möbius configuration has 16 vertices, one for each point or plane
Möbius_configuration
28 lines which touch a general quartic plane curve in two places
correspondence with the 28 triangles of the Fano plane. The Levi graph of the Fano plane is the Heawood graph, in which the triangles of the Fano plane are represented
Bitangents_of_a_quartic
24-vertex symmetric bipartite cubic graph
In the mathematical field of graph theory, the Nauru graph is a symmetric, bipartite, cubic graph with 24 vertices and 36 edges. It was named by David
Nauru_graph
Grünbaum. The Levi graph of the configuration is the Kronecker cover of the odd graph O4, and is isomorphic to the middle layer graph of the seven-dimensional
Danzer's_configuration
German mathematician
Mathematics Department at the University of Calcutta. He introduced the Levi graph in 1940 at a series of lectures on finite geometry. He contributed to
Friedrich_Wilhelm_Levi
Geometric configuration of 9 points and 9 lines
pairs of points. The Levi graph of the Pappus configuration is known as the Pappus graph. It is a bipartite symmetric cubic graph with 18 vertices and
Pappus_configuration
Geometric configuration of 9 points and 12 lines
geometries, vol. Second edition, Cambridge University, p. 41-42 On the Levi graph of point-line configurations, Jessica Hauschild, Jazmin Ortiz and Oscar
Hesse_configuration
Structure in combinatorial mathematics
configuration has a corresponding biregular bipartite graph known as its incidence or Levi graph. Given a finite set X (of elements called points) and
Block_design
Geometric configuration of 12 points and 6 lines
The Levi graph of the Reye configuration
Reye_configuration
Incidence matrix Incidence algebra Incidence structure Incidence geometry Levi graph Hilbert's axioms Joel G. Broida & S. Gill Williamson (1998) A Comprehensive
Incidence_(geometry)
determine that Alexander I Land is an island. Friedrich Wilhelm Levi introduces the Levi graph in a series of lectures on finite geometry at the University
1940_in_science
thus to tα = β. This approach results in a graph of substitutions generated by repeatedly applying Levi's lemma. If each unknown appears at most twice
Levi's_lemma
Binary operation in graph theory
In graph theory, the modular product of graphs G and H is a graph formed by combining G and H that has applications to subgraph isomorphism. It is one
Modular_product_of_graphs
Theorem that every subgroup of a free group is itself free
and Friedrich Levi (1936). The original proof by Schreier forms the Schreier graph in a different way as a quotient of the Cayley graph of G modulo the
Nielsen–Schreier_theorem
Canadian geometer (1907–2003)
in geometry and group theory are named after him, including the Coxeter graph, Coxeter groups, Coxeter's loxodromic sequence of tangent circles, Coxeter–Dynkin
Harold Scott MacDonald Coxeter
Harold_Scott_MacDonald_Coxeter
studied by Levi (1955) and independently, Gohberg & Markus (1960). Additionally, there is a different Hadwiger conjecture concerning graph coloring, and
Hadwiger conjecture (combinatorial geometry)
Hadwiger_conjecture_(combinatorial_geometry)
Number of cops needed to catch a robber on a graph
{\displaystyle n} -vertex graph has cop number O ( n ) {\displaystyle O({\sqrt {n}})} . The Levi graphs (or incidence graphs) of finite projective planes
Cop_number
South Korean actor (born 1987)
Archived from the original on December 11, 2021. Retrieved May 31, 2022. "Life graph of Lee Min Ho, "Actor's job is to give hope and courage"" [스타캐스트] 이민호의 인생곡선
Lee_Min-ho
Historical region of Greater Iran
The Social and Military Aspects of the ʿAbbāsid revolution. Jerusalem: Graph Press Ltd. ISBN 965-223-388-9. Sánchez, Ignacio (2013). "Ibn Qutayba and
Khorasan
State of matter
.198A. doi:10.1126/science.269.5221.198. ISSN 0036-8075. PMID 17789847. Levi, Barbara Goss (2001). "Cornell, Ketterle, and Wieman Share Nobel Prize for
Bose–Einstein_condensate
in Isfahan in 1623, both Hindus and Muslims, as Multanis. Scott Cameron Levi (2002), The Indian diaspora in Central Asia and its trade, 1550–1900, BRILL
Economy_of_India
Knowledge Graph which when clicked, makes confetti explode. "panipuri( see it )" will show three types of panipuris in the Knowledge Graph, which when
List_of_Google_Easter_eggs
Social structure made up of a set of social actors
field which emerged from social psychology, sociology, statistics, and graph theory. Georg Simmel authored early structural theories in sociology emphasizing
Social_network
Branch of discrete mathematics
right. One of the oldest and most accessible parts of combinatorics is graph theory, which by itself has numerous natural connections to other areas
Combinatorics
is responsible for the bumps or 'knees' in the above overpressure range graph. For each goal overpressure, there is a certain optimum burst height at
Effects_of_nuclear_explosions
Straight path on a curved surface or a Riemannian manifold
mathematical spaces; for example, in graph theory, one might consider a geodesic between two vertices/nodes of a graph. In a Riemannian manifold or submanifold
Geodesic
8, 2014. Levi Gundert (December 11, 2013). "Big Data in Security – Part III: Graph Analytics". Readwrite. Retrieved September 8, 2014. "Graph Database
InfiniteGraph
Five-pointed star polygon
essentially "good". However, the influential but controversial writer Éliphas Lévi, known for believing that magic was a real science, had called it evil whenever
Pentagram
National Hockey League season
Sphere in Paradise, Nevada. "National Hockey League 2024-25 Attendance Graph". hockeydb.com. Retrieved March 2, 2026. "Sabres miss playoffs for NHL-record
2024–25_Buffalo_Sabres_season
German spoken in Wisconsin, USA
German Immigration to the State. Madison: Max Kade Institute, 2006. Everest Levi, Kate (1898). "Geographical Origin of German Immigration to Wisconsin". In
Wisconsin_German
American baseball player (born 1995)
Levi Jordan Hitting His Way Back to Iowa". northsidebound.com. June 2, 2022. Retrieved September 17, 2024. "Levi Jordan - Stats - Batting". FanGraphs
Levi_Jordan
Swiss mathematician (1707–1783)
logician, geographer, music theorist and engineer. He founded the studies of graph theory and topology and made influential discoveries in many other branches
Leonhard_Euler
American musical duo
and Garfunkel assumed the name Tom & Jerry; Garfunkel named himself Tom Graph, a reference to his interest in mathematics, and Simon Jerry Landis, after
Simon_&_Garfunkel
Array of numbers
The adjacency matrix of a finite graph is a basic notion of graph theory. It records which vertices of the graph are connected by an edge. Matrices
Matrix_(mathematics)
Symbols for constants, special functions
investment the α-conversion in lambda calculus the independence number of a graph a placeholder for ordinal numbers in mathematical logic a type of receptor
Greek letters used in mathematics, science, and engineering
Greek_letters_used_in_mathematics,_science,_and_engineering
with hundreds of collaborators. He worked on problems in combinatorics, graph theory, number theory, classical analysis, approximation theory, set theory
List of atheists in science and technology
List_of_atheists_in_science_and_technology
American singer (born 1941)
Frankie Valli Four Tops Renaldo Benson, Abdul "Duke" Fakir, Lawrence Payton, Levi Stubbs The Kinks Mick Avory, Dave Davies, Ray Davies, Pete Quaife The Platters
Art_Garfunkel
1992 Israeli TV series or program
characters. The series was directed by Yael Graph and Shirley Stern, and written by Ronit Weiss Berkowitz and Eyal Graph. The theme song to the series was written
Inyan_Shel_Zman
American politician (born 1960)
per year.'". PolitiFact.com. St. Petersburg Times. April 1, 2011. "PoliGraph: Pawlenty spending claim lacks context". MPR News. Minnesota Public Radio
Tim_Pawlenty
Heuristic pathfinding algorithm
Iterative deepening A* (IDA*) is a graph traversal and path search algorithm that can find the shortest path between a designated start node and any member
Iterative_deepening_A*
Physical theory describing classical fields
into the theory of general relativity mainly through the work of Tullio Levi-Civita and Hermann Weyl. Further development of quantum field theory changed
Classical_field_theory
Coordinates comprising a distance and an angle
then consists of points of the form (r(φ), φ) and can be regarded as the graph of the polar function r. Note that, in contrast to Cartesian coordinates
Polar_coordinate_system
Global framework for capital flows
1907 Was Excessive: Cutting Research". Bloomberg. Retrieved 2013-07-09. Levi, Maurice D. (2005). International Finance, 4th Edition. New York, NY: Routledge
Global_financial_system
2007 video game
accompanies the player through various modes. Brain charts: Detailed stats and graphs tracking past gameplay. The Xbox Live Arcade, PlayStation Network, and OnLive
Brain_Challenge
Hoffman (1944), mathematician known for constructing the Hoffman–Singleton graph Bruce Mazlish (1944), historian and professor at Massachusetts Institute
List of Columbia College people
List_of_Columbia_College_people
Two-dimensional geometrical space
Euclidean metric is used instead of the Euclidean plane. For example, in a graph, which can be drawn on paper, and in which the position of a particle is
Affine_plane
Four-dimensional number system
Charles F.F. (January 2007). "Quaternions in molecular modeling". J. Mol. Graph. Mod. 25 (5): 595–604. arXiv:physics/0506177. Bibcode:2007JMGM...25..595K
Quaternion
Topological space that locally resembles Euclidean space
Manifolds naturally arise as solution sets of systems of equations and as graphs of functions. The concept has applications in computer-graphics given the
Manifold
provided examples of what is now known as Hamiltonian cycles in certain Cayley graphs on permutations. Combinatorics came to Europe in the 13th century through
History_of_combinatorics
Branch of mathematical linguistics
structure used in combinatorics is the tree structure. A tree structure is a graph where the vertices are connected by one line, called a path or edge. Trees
Combinatorics_on_words
This graph was using the legacy Graph extension, which is no longer supported. It needs to be converted to the new Chart extension.
Canadian federal election results in New Brunswick
Canadian_federal_election_results_in_New_Brunswick
Founder of the Abbasid dynasty (c. 680–743)
Banners from the East, Volume II. Revolt: The Social and Military Aspects of the ʿAbbāsid Revolution. Jerusalem: Graph Press Ltd. ISBN 965-223-388-9. v t e
Muhammad_ibn_Ali_ibn_Abdallah
(combinatorics) Graph structure theorem (graph theory) Grinberg's theorem (graph theory) Grötzsch's theorem (graph theory) Hajnal–Szemerédi theorem (graph theory)
List_of_theorems
American mathematician
follows. A weighted bipartite graph G = ( W ∪ V , E ) {\displaystyle G=(W\cup V,E)} is constructed. One side of the bipartite graph contains the job nodes,
David_Shmoys
1993 Japanese book by Wataru Tsurumi
Drowning Self-immolation Freezing Miscellaneous Each chapter begins with a graph assessing the method in question in terms of painfulness, time/effort required
The Complete Manual of Suicide
The_Complete_Manual_of_Suicide
Property of a mathematical space
0 dimension Point Zero-dimensional space Integer 1 dimension Line Curve Graph (combinatorics) Real number Length 2 dimensions Plane Surface Polygon Net
Dimension
Bilateral relations
Studies Quarterly. 23 (4): 771–785. ISSN 0360-4918. JSTOR 27551153. Nwachuku, Levi A. (1998). "The United States and Nigeria – 1960 to 1987: Anatomy of a Pragmatic
Nigeria–United States relations
Nigeria–United_States_relations
American baseball player (born 1994)
"Sunday Notes: Taylor Hearn and the Tale of the Black Rodeo Cowboys". FanGraphs. Retrieved October 3, 2019. Hardin, Jim (March 1, 2017). "Hearn number retired"
Taylor_Hearn_(baseball)
Geometric figure which has infinite surface area but finite volume
comprising a series of rectangles. Gabriel's horn is formed by taking the graph of y = 1 x , {\displaystyle y={\frac {1}{x}},} with the domain x ≥ 1 {\displaystyle
Gabriel's_horn
Video game played on a mobile device
mobile phone, tablet, PDA, handheld game console, portable media player or graphing calculator, with or without network availability. The earliest mobile phone
Mobile_game
Mathematician at Courant Institute of Mathematical Sciences
Mathematical Sciences at New York University working in combinatorics and graph theory. She and Huy Tuan Pham proved the Kahn–Kalai conjecture on estimating
Jinyoung_Park_(mathematician)
Data that is useful in detecting or predicting cyberattacks
(2024-09-01). "Improving quality of indicators of compromise using STIX graphs". Computers & Security. 144 103972. doi:10.1016/j.cose.2024.103972. ISSN 0167-4048
Cyber_threat_intelligence
products and branching rules can be calculated using a coloured directed graph, with labels given by the simple roots of the Lie algebra. Developed as
Littelmann_path_model
Mathematics prize
The Levi L. Conant Prize is a mathematics prize of the American Mathematical Society, which has been awarded every year since 2001 for outstanding expository
Levi_L._Conant_Prize
Smooth manifold with an inner product on each tangent space
Cartan connection, one of the first concepts of a connection. Levi-Civita defined the Levi-Civita connection, a special connection on a Riemannian manifold
Riemannian_manifold
of 98 years, 350 days. He is one of six U.S. vice presidents (along with Levi P. Morton, George H. W. Bush, Gerald Ford, Walter Mondale and John Adams)
List of vice presidents of the United States by age
List_of_vice_presidents_of_the_United_States_by_age
LEVI GRAPH
LEVI GRAPH
Male
English
 English short form of English Levi, LEV means "adhesion, joined to" or "crown, garland." Compare with other forms of Lev.
Female
Hindi/Indian
(देवी) Hindi name derived from Sanskrit devi DEVI means "goddess."
Boy/Male
American, Australian, British, Chinese, Christian, Danish, English, Finnish, French, German, Hawaiian, Hebrew, Jamaican, Portuguese
United; Combined; Attached; Possibly Governor; Guide; Joined; Governor; Adhesion; Joined to; Crown; Garland
Boy/Male
Biblical American Hebrew
Associated with him.
Male
Greek
(Λευί) Greek form of Hebrew Leviy, LEUI means "adhesion, joined to" or "crown, garland." In the bible, this is the name of several characters, including the third son of Jacob.
Male
Hungarian
 Short form of Hungarian Levente, possibly LEVI means "governor, guide." Compare with other forms of Levi.
Male
Hebrew
(לֵב) Hebrew name LEV means "heart." Compare with other forms of Lev.
Male
Hebrew
Variant spelling of Hebrew Tzevi, ZEVI means "deer, gazelle."
Girl/Female
Hindu
Lakshmi Devi
Male
Russian
 Yiddish name LEV means "lion." In use by the Russians. Compare with other forms of Lev.
Girl/Female
English, Swedish
Life
Female
German
Pet form of German Helene, possibly LENI means "torch."
Surname or Lastname
Jewish (Ashkenazic)
Jewish (Ashkenazic) : from German Levit ‘Levite’ (see Levy).English : variant spelling of Leavitt.
Male
Hebrew
(לֵוִי) Hebrew name derived from the word lewi, LEVIY means "adhesion, joined to" or "crown, garland." In the bible, this is the name of several characters, including the third son of Jacob.
Female
Hebrew
(לָבִי×) Hebrew unisex name LAVI means "lion."
Male
Finnish
Finnish form of Greek Leui, LEEVI means "adhesion, joined to" or "crown, garland."
Female
Finnish
Finnish form of Greek Eva, EEVI means "life."
Female
English
Variant spelling of English Lexy, LEXI means "defender of mankind."
Male
Yiddish
(לֵב) Yiddish name LEV means "lion." In use by the Russians. Compare with other forms of Lev.
Biblical
associated with himjoined, to adhere,adhesion
LEVI GRAPH
LEVI GRAPH
Girl/Female
Biblical
Large, extensive.
Male
English
Pet form of English Gabriel, GABBY means "man of God"Â or "warrior of God."
Girl/Female
German
Peaceful Ruler
Girl/Female
Arabic, Indian, Kannada, Muslim
Great; Whiteness
Biblical
the curse of trembling
Boy/Male
Indian, Punjabi, Sikh
One who is There Since Ages
Biblical
Kirharesh; City of the sun, Wall of burnt brick
Boy/Male
Arabic, Muslim
Distant
Girl/Female
English American
Originally the ancient duchy of Bretagne in France. Celtic Bretons emigrated from France to...
Girl/Female
Bengali, Indian
Half; Wealth; Worship
LEVI GRAPH
LEVI GRAPH
LEVI GRAPH
LEVI GRAPH
LEVI GRAPH
v. t.
To raise; to collect; said of troops, to form into an army by enrollment, conscription, etc.
pl.
of Levy
v. t.
To raise or collect by assessment; to exact by authority; as, to levy taxes, toll, tribute, or contributions.
n.
That which is levied, as an army, force, tribute, etc.
v. t.
To raise; to levy.
v. i.
To seize property, real or personal, or subject it to the operation of an execution; to make a levy; as, to levy on property; the usual mode of levying, in England, is by seizing the goods.
n.
The act of levying or collecting by authority; as, the levy of troops, taxes, etc.
imp. & p. p.
of Levy
v. i.
To levy a distress.
p. pr. & vb. n.
of Levy
n.
A name formerly given in Pennsylvania, Maryland, and Virginia to the Spanish real of one eighth of a dollar (or 12/ cents), valued at eleven pence when the dollar was rated at 7s. 6d.
v. t.
To take or seize on execution; to collect by execution.
v. t.
To raise, as a siege.
n.
The taking or seizure of property on executions to satisfy judgments, or on warrants for the collection of taxes; a collecting by execution.
v. t.
To gather or exact; as, to levy money.
v. t.
To erect, build, or set up; to make or construct; to raise or cast up; as, to levy a mill, dike, ditch, a nuisance, etc.