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Graph representing edges of another graph
In the mathematical discipline of graph theory, the line graph of an undirected graph G is another graph L(G) that represents the adjacencies between edges
Line_graph
Type of chart
A line chart or line graph, also known as curve chart, is a type of chart that displays information as a series of data points called 'markers' connected
Line_chart
Appendix:Glossary of graph theory in Wiktionary, the free dictionary. This is a glossary of graph theory. Graph theory is the study of graphs, systems of nodes
Glossary_of_graph_theory
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
Vertices connected in pairs by edges
related pairs of vertices is called an edge (also called link or line). Typically, a graph is depicted in diagrammatic form as a set of dots or circles for
Graph_(discrete_mathematics)
Graph divided into two independent sets
graphs: every bipartite graph, the complement of every bipartite graph, the line graph of every bipartite graph, and the complement of the line graph
Bipartite_graph
Graph whose line graph is perfect
In graph theory, a line perfect graph is a graph whose line graph is a perfect graph. Equivalently, these are the graphs in which every odd-length simple
Line_perfect_graph
Methodic assignment of colors to elements of a graph
In graph theory, graph coloring is a methodic assignment of labels traditionally called "colors" to elements of a graph. The assignment is subject to certain
Graph_coloring
Graph that can be embedded in the plane
In graph theory, a planar graph is a graph that can be embedded in the plane, i.e., it can be drawn on the plane in such a way that its edges intersect
Planar_graph
A Digital Line Graph (DLG) is a cartographic map feature represented in digital vector form that is distributed by the U.S. Geological Survey (USGS). DLGs
Digital_line_graph
Graph with tight clique-coloring relation
In graph theory, a perfect graph is a graph in which the chromatic number equals the size of the maximum clique, both in the graph itself and in every
Perfect_graph
Graph of chess rook moves
mathematics of graphs through their alternative constructions: rook's graphs are the Cartesian product of two complete graphs, and are the line graphs of complete
Rook's_graph
Bijection between the vertex set of two graphs
In graph theory, an isomorphism of graphs G and H is a bijection between the vertex sets of G and H f : V ( G ) → V ( H ) {\displaystyle f\colon V(G)\to
Graph_isomorphism
Cubic graph with 10 vertices and 15 edges
bridgeless graph has a cycle-continuous mapping to the Petersen graph. More unsolved problems in mathematics In the mathematical field of graph theory, the
Petersen_graph
Generalization of line graphs to hypergraphs
In graph theory, particularly in the theory of hypergraphs, the line graph of a hypergraph H, denoted L(H), is the graph whose vertex set is the set of
Line_graph_of_a_hypergraph
Basic concept of graph theory
mathematics and computer science, connectivity is one of the basic concepts of graph theory: it asks for the minimum number of elements (nodes or edges) that
Connectivity_(graph_theory)
Class of undirected graphs defined from systems of sets
hence the line graph of K5. More generally, for all n {\displaystyle n} , the Johnson graph J ( n , 2 ) {\displaystyle J(n,2)} is the line graph of Kn and
Johnson_graph
On bipartite matching and vertex cover
the line graph of a bipartite graph is perfect. Since line graphs of bipartite graphs are perfect, the complements of line graphs of bipartite graphs are
Kőnig's theorem (graph theory)
Kőnig's_theorem_(graph_theory)
Graph representing faces of another graph
mathematical discipline of graph theory, the dual graph of a planar graph G is a graph that has a vertex for each face of G. The dual graph has an edge for each
Dual_graph
Graph where every edge is in one triangle
Examples of locally linear graphs include the triangular cactus graphs, the line graphs of 3-regular triangle-free graphs, and the Cartesian products
Locally_linear_graph
Undirected graph named after S. S. Shrikhande
mathematical field of graph theory, the Shrikhande graph is a graph discovered by S. S. Shrikhande in 1959. It is a strongly regular graph with 16 vertices
Shrikhande_graph
Planar graph embedding where edges map to straight-line segments
and geometric graph theory, a planar straight-line graph (PSLG), also called a straight-line plane graph or plane straight-line graph, is an embedding
Planar_straight-line_graph
Graph representing intersections between given sets
In graph theory, an intersection graph is a graph that represents the pattern of intersections of a family of sets. Any graph can be represented as an
Intersection_graph
Path in a graph that visits each vertex exactly once
corresponds to a Hamiltonian cycle in the line graph L(G), so the line graph of every Eulerian graph is Hamiltonian. Line graphs may have other Hamiltonian cycles
Hamiltonian_path
Concept in graph theory
In graph theory, a strongly regular graph (SRG) is a regular graph G = (V, E) with v vertices and degree k such that for some given integers λ , μ ≥ 0
Strongly_regular_graph
Describing a family of graphs by excluding certain (sub)graphs
In graph theory, a branch of mathematics, many important families of graphs can be described by a finite set of individual graphs that do not belong to
Forbidden graph characterization
Forbidden_graph_characterization
Graph with oriented edges
In mathematics, and more specifically in graph theory, a directed graph (or digraph) is a graph that is made up of a set of vertices connected by directed
Directed_graph
Study of graphs defined by geometric means
geometric and topological graphs" (Pach 2013). Geometric graphs are also known as spatial networks. A planar straight-line graph is a graph in which the vertices
Geometric_graph_theory
Graph that misrepresents data
In statistics, a misleading graph, also known as a distorted graph, is a graph that misrepresents data, constituting a misuse of statistics and with the
Misleading_graph
Graph whose biconnected components are all cliques
In graph theory, a branch of combinatorial mathematics, a block graph or clique tree is a type of undirected graph in which every biconnected component
Block_graph
Adjacent subset of an undirected graph
In graph theory, a clique (/ˈkliːk/ or /ˈklɪk/) is a subset of vertices of an undirected graph such that every two distinct vertices in the clique are
Clique_(graph_theory)
Topics referred to by the same term
Look up Graph, graph, or -graph in Wiktionary, the free dictionary. Wikimedia Commons has media related to Graphs. Graph may refer to: Graph (discrete
Graph
Branch of the mathematical field of graph theory
topological graph theory is a branch of graph theory. It studies the embedding of graphs in surfaces, spatial embeddings of graphs, and graphs as topological
Topological_graph_theory
Directed graph representing overlaps between sequences of symbols
In graph theory, an n-dimensional De Bruijn graph of m symbols is a directed graph representing overlaps between sequences of symbols. It has mn vertices
De_Bruijn_graph
Type of chart
bars and a line graph, where individual values are represented in descending order by bars, and the cumulative total is represented by the line. The chart
Pareto_chart
Procedures for constructing new graphs in graph theory
graph from an initial one by a complex change, such as: transpose graph; complement graph; line graph; graph minor; graph rewriting; power of graph;
Graph_operations
(circular) or a cartesian coordinate (rectangular) graph, and either a line graph or a bar graph. In polar form, the months of the year are marked around
Ergograph
Graph with all vertices of degree 4
mathematical field of graph theory, a quartic graph is a graph where all vertices have degree 4. In other words, a quartic graph is a 4-regular graph. Several well-known
Quartic_graph
Graph without four-vertex star subgraphs
In graph theory, an area of mathematics, a claw-free graph is a graph that does not have a claw as an induced subgraph. A claw is another name for the
Claw-free_graph
File format
DOT is a graph description language, developed as a part of the Graphviz project. DOT graphs are typically stored as files with the .gv or .dot filename
DOT (graph description language)
DOT_(graph_description_language)
Graph generated by a random process
In mathematics, random graph is the general term to refer to probability distributions over graphs. Random graphs may be described simply by a probability
Random_graph
Application of statistical techniques to biological systems
genes in ten operons of the same organism. Genes = {2,3,3,4,5,3,3,3,3,4} Line graphs represent the variation of a value over another metric, such as time
Biostatistics
Graph whose vertices correspond to combinations of a set of n elements
Kneser graph K(n, 2) is the complement of the line graph of the complete graph on n vertices. The Kneser graph K(2n − 1, n − 1) is the odd graph On; in
Kneser_graph
Partition of a simple polygon into triangles
cases of planar straight-line graphs. When there are no holes or added points, triangulations form maximal outerplanar graphs. Over time, a number of algorithms
Polygon_triangulation
makes extensive use of graphs to better illustrate the economic principles and trends it is attempting to explain. Those graphs have specific qualities
Economic_graph
Fundamental unit of which graphs are formed
specifically in graph theory, a vertex (plural vertices) or node is the fundamental unit of which graphs are formed: an undirected graph consists of a set
Vertex_(graph_theory)
combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, mathematical logic, number theory, set theory, Ramsey
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Type of incidence structure
other a line and the point lies on the line. The incidence graph of a generalized quadrangle is characterized by being a connected, bipartite graph with
Generalized_quadrangle
In graph theory, the shift graph Gn,k for n , k ∈ N , n > 2 k > 0 {\displaystyle n,k\in \mathbb {N} ,\ n>2k>0} is the graph whose vertices correspond
Shift_graph
Intersection graph for intervals on the real number line
In graph theory, an interval graph is an undirected graph formed from a set of intervals on the real line, with a vertex for each interval and an edge
Interval_graph
Number of vertices with unambiguous distances
bounded-degree planar graphs, split graphs, bipartite graphs and their complements, line graphs of bipartite graphs, unit disk graphs, interval graphs of diameter
Metric dimension (graph theory)
Metric_dimension_(graph_theory)
Tree graph with all nodes within distance 1 from central path
represented as non-crossing line segments that have one endpoint on each line. They are the trees whose square is a Hamiltonian graph. That is, in a caterpillar
Caterpillar_tree
The line graph of a regular integral graph is again integral. For instance, as the line graph of K 4 {\displaystyle K_{4}} , the octahedral graph is integral
Integral_graph
4-regular graph on 6 vertices. Graph equations for line graphs and total graphs, DM Cvetkovic, SK Simic – Discrete Mathematics, 1975 Graph equations, graph inequalities
Graph_equation
Database using graph structures for queries
A graph database (GDB) is a database that uses graph structures for semantic queries with nodes, edges, and properties to represent and store data. A key
Graph_database
Cumulative Frequency Graph
ogive is obtained by connecting each of the points to its neighbours with line segments. Sometimes an axis for both the absolute frequency and relative
Ogive_(statistics)
Generalization of graph theory
hypergraph is a generalization of a graph in which an edge can join any number of vertices. In contrast, in an ordinary graph, an edge connects exactly two
Hypergraph
parameters and spectrum as the line graph L(K8) of the complete graph K8. Each of these three graphs may be obtained by graph switching from L(K8). That is
Chang_graphs
Type of chart
concentric circles help as grid lines. Instead, one may use a simple line graph, particularly for a time series. Radar charts can distort data to some
Radar_chart
Examination of the heart's electrical activity
that shows a line graph of the heart's electrical activity through repeated cardiac cycles. It is an electrogram of the heart which is a graph of voltage
Electrocardiography
Construct in computational geometry
Delaunay triangulation problem is a planar straight-line graph, a set of points and non-crossing line segments in the plane. The constrained Delaunay triangulation
Constrained Delaunay triangulation
Constrained_Delaunay_triangulation
Linear algebra aspects of graph theory
In mathematics, spectral graph theory is the study of the properties of a graph in relationship to the characteristic polynomial, eigenvalues, and eigenvectors
Spectral_graph_theory
Graph of intervisible locations in computational geometry
visibility graph is a graph of intervisible locations, typically for a set of points and obstacles in the Euclidean plane. Each node in the graph represents
Visibility_graph
Matrix that shows the relationship between two classes of objects
graph. The column of a negative edge has either a 1 or a −1 in both rows. The line graph and Kirchhoff matrix properties generalize to signed graphs.
Incidence_matrix
Representation of a graph as a path graph "thickened" by some amount
In graph theory, a path decomposition of a graph G is, informally, a representation of G as a "thickened" path graph, and the pathwidth of G is a number
Pathwidth
Graph where all pairs of vertices are automorphic
regular graphs are vertex-transitive (for example, the Frucht graph and Tietze's graph). Finite vertex-transitive graphs include the symmetric graphs (such
Vertex-transitive_graph
Directed graph with no directed cycles
In mathematics, particularly graph theory, and computer science, a directed acyclic graph (DAG) is a directed graph with no directed cycles. That is, it
Directed_acyclic_graph
Bivariegated graph Cage (graph theory) Cayley graph Circle graph Clique graph Cograph Common graph Complement of a graph Complete graph Cubic graph Cycle graph De
List_of_graph_theory_topics
Sudden population decline in Russia
greater or lesser degree until 2013. When this trend is plotted on a line graph starting from the mid-1980s, the lines cross in 1992, hence the name.
Russian_cross_(demography)
set in the square of the line graph of the given graph. The minimum number of induced matchings into which the edges of a graph G {\displaystyle G} can
Induced_matching
Limit of the tangent line at a point that tends to infinity
any line that does not intersect the given curve. There are three kinds of asymptotes: horizontal, vertical and oblique. For curves given by the graph of
Asymptote
Visual presentation on some surface
computer graphics. Examples are photographs, drawings, line art, mathematical graphs, line graphs, charts, diagrams, typography, numbers, symbols, geometric
Graphics
Trail in a graph that visits each edge once
In graph theory, an Eulerian trail (or Eulerian path) is a trail in a finite graph that visits every edge exactly once (allowing for revisiting vertices)
Eulerian_path
Graph representing a permutation
reversed by the permutation. Permutation graphs may also be defined geometrically, as the intersection graphs of line segments whose endpoints lie on two parallel
Permutation_graph
Graph in engineering
In engineering, an influence line graphs the variation of a function (such as the shear, moment etc. felt in a structural member) at a specific point
Influence_line
Line graph used in physical science
A cooling curve is a line graph that represents the change of phase of matter, typically from a gas to a solid or a liquid to a solid. The independent
Cooling_curve
Perfect graphs have neither odd holes nor odd antiholes
In graph theory, the strong perfect graph theorem is a forbidden graph characterization of the perfect graphs as being exactly the graphs that have neither
Strong_perfect_graph_theorem
Algorithms for mesh generation
poor-quality triangles exist. Ruppert's algorithm takes a planar straight-line graph (or in dimension higher than two a piecewise linear system) and returns
Delaunay_refinement
Tree graph with one central node and leaves of length 1
the exceptional cases of the Whitney graph isomorphism theorem: in general, graphs with isomorphic line graphs are themselves isomorphic, with the exception
Star_(graph_theory)
Geometry problem on grid points
no-three-in-line problem has a solution with linearly many points can be translated into graph drawing terms as meaning that every graph, even a complete graph,
No-three-in-line_problem
Representation of a mathematical function
In mathematics, the graph of a function f {\displaystyle f} is the set of ordered pairs ( x , y ) {\displaystyle (x,y)} , where f ( x ) = y . {\displaystyle
Graph_of_a_function
Visualization of node-link graphs
Graph drawing is an area of mathematics and computer science combining methods from geometric graph theory and information visualization to derive two-dimensional
Graph_drawing
Straight figure with zero width and depth
In geometry, a straight line, usually abbreviated line, is an infinitely long object with no width, depth, or curvature. It is a special case of a curve
Line_(geometry)
Graph representing incident points and lines
configuration, we form a graph with one vertex per point, one vertex per line, and an edge for every incidence between a point and a line. They are named for
Levi_graph
Graph with edges of length one, able to be drawn without crossings
geometric graph theory, a branch of mathematics, a matchstick graph is a graph that can be drawn in the plane in such a way that its edges are line segments
Matchstick_graph
Graph literacy is the ability to understand information that presented graphically, which are including general knowledge about how to extract information
Graph_literacy
2D & 3D graphs (e.g., Area graph, Bar graph, Boxplot graph, Pie graph, Line graph, Histogram graph, Surface graph, Polar graph, Water Fall graph, etc.)
DataScene
Geometric graph with unit edge lengths
In mathematics, particularly geometric graph theory, a unit distance graph is a graph formed from a collection of points in the Euclidean plane by connecting
Unit_distance_graph
In the mathematical field of graph theory, a word-representable graph is a graph that can be characterized by a word (or sequence) whose entries alternate
Word-representable_graph
Method in geometry for representing a polygon by a topological skeleton
polygons by Aichholzer et al. (1995), and generalized to planar straight-line graphs (PSLG) by Aichholzer & Aurenhammer (1996). In their interpretation as
Straight_skeleton
Trail in which only the first and last vertices are equal
In graph theory, a cycle in a graph is a non-empty trail in which only the first and last vertices are equal. A directed cycle in a directed graph is
Cycle_(graph_theory)
Real function with secant line between points above the graph itself
is called convex if the line segment between any two distinct points on the graph of the function lies above or on the graph of the function between the
Convex_function
Graph with all vertices of degree 3
of graph theory, a cubic graph is a graph in which all vertices have degree three. In other words, a cubic graph is a 3-regular graph. Cubic graphs are
Cubic_graph
Type of graph
A bullet graph is a variation of a bar graph developed by Stephen Few. Seemingly inspired by the traditional thermometer charts and progress bars found
Bullet_graph
Embedding a graph in a topological space, often Euclidean
In topological graph theory, an embedding (also spelled imbedding) of a graph G {\displaystyle G} on a surface Σ {\displaystyle \Sigma } is a representation
Graph_embedding
In graph theory, the arrangement graph A n , k {\displaystyle A_{n,k}} is a graph defined on the vertex set consisting of all permutations of k {\displaystyle
Arrangement_graph
Graph layout on multiple half-planes
half-planes all having the same line as their boundary. Usually, the vertices of the graph are required to lie on this boundary line, called the spine, and the
Book_embedding
Adding edges to make a graph Hamiltonian
certain classes of graphs, including series–parallel graphs and their subgraphs, which include outerplanar graphs, as well as for a line graph of a tree or
Hamiltonian_completion
In graph theory, there are two related properties of a hypergraph that are called its "width". Given a hypergraph H = (V, E), we say that a set K of edges
Width_of_a_hypergraph
Operating system that behaves similarly to Unix
by The Linux Information Project (LINFO) UNIX history – a history time line graph of most UNIX and Unix-like systems by Éric Lévénez Grokline's UNIX Ownership
Unix-like
LINE GRAPH
LINE GRAPH
Male
Italian
Italian and Spanish form of Latin Linus, LINO means either "a cry of grief"Â or "flax, linen."
Female
Hindi/Indian
(लीना) Hindi name LINA means "absorbed in; merged." Compare with other forms of Lina.
Female
Yiddish
 Yiddish name derived from the word bin(e), BINE means "bee." Compare with other forms of Bine.
Female
French
French feminine form of Roman Cælinus, CÉLINE means "heaven."
Female
English
 Variant spelling of English Aileen, ALINE means "little Eve." Compare with another form of Aline.
Male
Native American
Native American Miwok name LISE means "salmon head rising above water." Compare with feminine Lise.
Female
German
 Short form of German Helene, possibly LENE means "torch." Compare with another form of Lene.
Female
English
 English short form of Latin Linnaea, LINN means "twin flower." Compare with other forms of Linn.
Surname or Lastname
English
English : metonymic occupational name for a dresser of flax, from Middle English lynet, lynt ‘flax’.Dutch : from a short form of a Germanic name formed with lind (see Linde 1).Dutch : metonymic occupational name for a linen weaver or merchant.
Surname or Lastname
English
English : metronymic from Line.
Girl/Female
English
Path; roadway.Lane and Laine.
Female
French
 Contracted form of French Adeline, ALINE means "little noble." Compare with another form of Aline.
Female
Swedish
 Short form of Swedish Linnéa, LINN means "twin flower." Compare with other forms of Linn.
Female
English
Short form of French Éliane, LIANE means "sun."Â
Female
Norwegian
Danish and Norwegian form of German Liese, LISE means "God is my oath."Â Compare with masculine Lise.
Female
Vietnamese
Vietnamese name LINH means "spring."
Female
Vietnamese
Vietnamese name LIEN means "lotus flower."
Female
Welsh
 Welsh name LINN means "lake" or "waterfall." Compare with other forms of Linn.
Surname or Lastname
English
English : variant of Lind 2 and Line 1.Irish : variant of Lane 2.Scottish : habitational name from places so named in Ayrshire, Peebles-shire, and Wigtownshire.
Surname or Lastname
English
English : from the medieval female personal name Line, a reduced form of Cateline (see Catlin) and of various other names, such as Emmeline and Adeline, containing the Anglo-Norman French diminutive suffix -line (originally a double diminutive, composed of the elements -el and -in).French (Liné) : metonymic occupational name for a linen weaver or a linen merchant, from an Old French adjective liné ‘made of linen’.
LINE GRAPH
LINE GRAPH
Girl/Female
Arabic, Muslim, Sindhi
Honey
Male
English
Variant spelling of English Lyndon, LINDEN means "lime tree hill." Or from the vocabulary word, linden, meaning "lime tree."
Boy/Male
Hindu
A name of Lord Shiva, One who has matted hair
Surname or Lastname
English
English : of uncertain origin. it may be a habitational name from an unidentified place (there is a Mayhall Farm in Buckinghamshire, but it is not clear whether the family name is derived from the farm name or vice versa). Alternatively it may be a variant of Mayall, which is itself a variant of Male.
Girl/Female
Assamese, Hindu, Indian, Kannada, Malayalam, Marathi, Sindhi, Telugu
Lustrous
Boy/Male
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Telugu
Lord Shiva
Boy/Male
Indian
Sun Cosmic Ray
Boy/Male
Assamese, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Punjabi, Sanskrit, Sikh, Sindhi, Tamil, Telugu
Span of Life; Age
Boy/Male
Tamil
Lord Rama
Boy/Male
Hindu, Indian
Beautiful and Brave
LINE GRAPH
LINE GRAPH
LINE GRAPH
LINE GRAPH
LINE GRAPH
v. t.
To form into a line; to align; as, to line troops.
n.
Direction; as, the line of sight or vision.
n.
A connected series of public conveyances, and hence, an established arrangement for forwarding merchandise, etc.; as, a line of stages; an express line.
v. t.
To read or repeat line by line; as, to line out a hymn.
n.
A short letter; a note; as, a line from a friend.
n.
The equator; -- usually called the line, or equinoctial line; as, to cross the line.
n.
A straight row; a continued series or rank; as, a line of houses, or of soldiers; a line of barriers.
v. t.
To cover the inner surface of; as, to line a cloak with silk or fur; to line a box with paper or tin.
n.
A measuring line or cord.
v. t.
To mark with a line or lines; to cover with lines; as, to line a copy book.
a.
To change by fine gradations; as (Naut.), to fine down a ship's lines, to diminish her lines gradually.
n.
Anything doubled and closed like a link; as, a link of horsehair.
n.
Flax; linen.
n.
A linen thread or string; a slender, strong cord; also, a cord of any thickness; a rope; a hawser; as, a fishing line; a line for snaring birds; a clothesline; a towline.
superl.
Made of fine materials; light; delicate; as, fine linen or silk.
n.
A series of various qualities and values of the same general class of articles; as, a full line of hosiery; a line of merinos, etc.
n.
A series or succession of ancestors or descendants of a given person; a family or race; as, the ascending or descending line; the line of descent; the male line; a line of kings.
n.
One who lines, as, a liner of shoes.
n.
The course followed by anything in motion; hence, a road or route; as, the arrow descended in a curved line; the place is remote from lines of travel.