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Intersection graph of a chord diagram
In graph theory, a circle graph is the intersection graph of a chord diagram. That is, it is an undirected graph whose vertices can be associated with
Circle_graph
On tangency patterns of circles
circles in the plane. A circle packing is a collection of circles whose union is connected and whose interiors are disjoint. The intersection graph of
Circle_packing_theorem
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
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
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
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
Intersection graph of convex polygons whose vertices lie on a common circle
graph theory, a polygon-circle graph is an intersection graph of a set of convex polygons all of whose vertices lie on a common circle. These graphs have
Polygon-circle_graph
Non-crossing graph with vertices on outer face
planar graphs, the subgraphs of series–parallel graphs, and the circle graphs. The maximal outerplanar graphs, those to which no more edges can be added while
Outerplanar_graph
Vertices connected in pairs by edges
(also called link or line). Typically, a graph is depicted in diagrammatic form as a set of dots or circles for the vertices, joined by lines or curves
Graph_(discrete_mathematics)
Complete bipartite cut in a graph
been used for fast recognition of circle graphs and distance-hereditary graphs, as well as for other problems in graph algorithms. Splits and split decompositions
Split_(graph_theory)
Process in digital electronics and integrated circuit design
minimization methods for two-level logic include: Euler diagram (aka Eulerian circle) (1768) by Leonhard P. Euler (1707–1783) Venn diagram (1880) by John Venn
Logic_optimization
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
Graph layout on multiple half-planes
In graph theory, a book embedding is a generalization of planar embedding of a graph to embeddings in a book, a collection of half-planes all having the
Book_embedding
Fundamental unit of which graphs are formed
represented by a circle with a label, and an edge is represented by a line or arrow extending from one vertex to another. From the point of view of graph theory
Vertex_(graph_theory)
Geometric line segment whose endpoints lie on a circular arc
chords Holditch's theorem, for a chord rotating in a convex closed curve Circle graph Exsecant and excosecant Versine and haversine – ( crd θ = 2 haversin
Chord_(geometry)
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
British polymath (1759–1823)
data, and in 1801 he published what were likely the first pie chart and circle graph, used to show part-whole relations. Playfair has been reported to have
William_Playfair
Graph representing a permutation
a permutation graph is polynomial in the size of the graph. Permutation graphs are a special case of circle graphs, comparability graphs, the complements
Permutation_graph
Graph whose induced subgraphs preserve distance
In graph theory, a branch of discrete mathematics, a distance-hereditary graph (also called a completely separable graph) is a graph in which the distances
Distance-hereditary_graph
Graphic visual representation of information
are commonly used to show the weather, as well as maps, site plans, and graphs for summaries of data. Some books are almost entirely made up of information
Infographic
Computational complexity class
colored directed graph. The paper giving a quasi-polynomial algorithm for these games won the 2021 Nerode Prize. 3-coloring circle graphs. These are the
Quasi-polynomial_time
Intersection graph for curves in the plane
graph theory, a string graph is an intersection graph of curves in the plane; each curve is called a "string". Given a graph G, G is a string graph if
String_graph
Circle with radius of one
mathematics, a unit circle is a circle of unit radius—that is, a radius of 1. Frequently, especially in trigonometry, the unit circle is the circle of radius 1
Unit_circle
Graph formed by touching unit circles
In geometric graph theory, a penny graph is a contact graph of unit circles. It is formed from a collection of unit circles that do not cross each other
Penny_graph
studied over regular graphs or grids, and the vertex functions are typically assumed to be identical. Example: Let Y be the circle graph on vertices {1,2
Graph_dynamical_system
Intersection graph of trapezoids between parallel lines
In graph theory, trapezoid graphs are intersection graphs of trapezoids between two horizontal lines. They are a class of co-comparability graphs that
Trapezoid_graph
Graph of intervisible locations in computational geometry
These graphs do not fall into many known families of well-structured graphs: they might not be perfect graphs, circle graphs, or chordal graphs. An exception
Visibility_graph
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
Simple curve of Euclidean geometry
A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre. The distance between any point of
Circle
circles that lie inside a bigger circle and tangent to it Circle graph – Intersection graph of a chord diagram Circle map – Phenomenon in mathsPages displaying
List_of_circle_topics
Operation in graph theory
distance-hereditary graphs is equal to the class of the circle graphs of the Euler tours of some 4-regular graph. Locally equivalent graphs have the same rank-width
Local_complementation
important in graph theory, since they generalise several important classes of graphs, e.g. circle graphs, 3-colorable graphs and comparability graphs. It was
Word-representable_graph
Graph drawing with vertices on a circle
In graph drawing, a circular layout is a style of drawing that places the vertices of a graph on a circle, often evenly spaced so that they form the vertices
Circular_layout
although intersection graphs of convex shapes, circle graphs, and outerstring graphs are all special cases of string graphs, the string graphs themselves are
Chi-bounded
Cyclic order and one-to-one pairing of a set of objects
pattern of chords in a chord diagram may be described by a circle graph, the intersection graph of the chords: it has a vertex for each chord and an edge
Chord_diagram_(mathematics)
Segment in a circle or sphere from its center to its perimeter or surface
apothem. In graph theory, the radius of a graph is the minimum over all vertices u of the maximum distance from u to any other vertex of the graph. The radius
Radius
Abstract data type in computer science
science, a graph is an abstract data type that is meant to implement the undirected graph and directed graph concepts from the field of graph theory within
Graph_(abstract_data_type)
Graph formed by subdivision of triangles
planar 3-trees, the maximal planar chordal graphs, the uniquely 4-colorable planar graphs, and the graphs of stacked polytopes. They are named after Apollonius
Apollonian_network
Task of computing complete subgraphs
of graphs as well. For instance, in a circle graph, the neighborhood of each vertex is a permutation graph, so a maximum clique in a circle graph can
Clique_problem
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 representing tangency between geometric objects
planar graph is a contact graph of homothetic copies of any given smooth convex set. The contact graphs of unit circles are called penny graphs. Representations
Contact_graph
Embedding of the circle in three dimensional Euclidean space
is known as knot theory and has many relations to graph theory. A knot is an embedding of the circle (S1) into three-dimensional Euclidean space (R3),
Knot_(mathematics)
Diagram of behavior of finite state systems
is a directed graph with the following elements (Q, Σ, Z, δ, q0, F): Vertices Q: a finite set of states, normally represented by circles and labeled with
State_diagram
Graph with sign-labeled edges
In the area of graph theory in mathematics, a signed graph is a graph in which each edge has a positive or negative sign. A signed graph is balanced if
Signed_graph
Graph-theoretic description of polyhedra
planar graph, and every 3-connected planar graph can be represented as the graph of a convex polyhedron. For this reason, the 3-connected planar graphs are
Steinitz's_theorem
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
Subdivision of the plane by lines
hyperbolic lines. The intersection graph of the lines in a hyperbolic arrangement can be an arbitrary circle graph. The corresponding concept to hyperbolic
Arrangement_of_lines
Python library for graphs and networks
NetworkX is a Python library for studying graphs and networks. NetworkX is free software released under the BSD-new license. NetworkX began development
NetworkX
Writing paper with a grid
paper has concentric circles divided into small arcs or 'pie wedges' to allow plotting in polar coordinates. Ternary (triangular) graph paper has an equilateral
Graph_paper
Measure of the structural complexity of a software program
Cyclomatic complexity is computed using the control-flow graph of the program. The nodes of the graph correspond to indivisible groups of commands of a program
Cyclomatic_complexity
Intersection graph for a set of arcs on a circle
In graph theory, a circular-arc graph is the intersection graph of a set of arcs on the circle. It has one vertex for each arc in the set, and an edge
Circular-arc_graph
Circular statistical graph of proportionality
credited to William Playfair's Statistical Breviary of 1801, in which two such graphs are used. Playfair presented an illustration, which contained a series of
Pie_chart
On converting relations to functions of several real variables
= 1 cuts out the unit circle as the level set {(x, y) | f(x, y) = 1}. There is no way to represent the unit circle as the graph of a function of one variable
Implicit_function_theorem
Intersection graph of unit disks in the plane
Unit disk graphs are the intersection graphs of equal-radius circles, or of equal-radius disks. These graphs have a vertex for each circle or disk, and
Unit_disk_graph
Study of graphs defined by geometric means
triangulation, a graph defined from a set of points in the plane by connecting two points with an edge whenever there exists a circle containing only those
Geometric_graph_theory
Graph with a list of distinguished cycles
mathematics, a biased graph is a graph with a list of distinguished circles (edge sets of simple cycles), such that if two circles in the list are contained
Biased_graph
Multi-lobed plane curve
negative half-cycles can be coincident in the graph of a rose. In addition, roses are inscribed in the circle r = a. When the period T of the sinusoid is
Rose_(mathematics)
Integer associated with a graph
particularly in graph theory, the dimension of a graph is the least integer n such that there exists a "classical representation" of the graph in the Euclidean
Dimension_(graph_theory)
Branch of geometry that studies combinatorial properties and constructive methods
topics in this area include: Circle packings Sphere packings Kepler conjecture Quasicrystals Aperiodic tilings Periodic graph Finite subdivision rules Structural
Discrete_geometry
Problem of finding the longest simple path for a given graph
In graph theory and theoretical computer science, the longest path problem is the problem of finding a simple path of maximum length in a given graph. A
Longest_path_problem
Planar graph with quadrilateral faces
quadrilaterals) and an edge for each two zones that meet in a quadrilateral is a circle graph determined by a triangle-free chord diagram of the unit disk. Squaregraphs
Squaregraph
Lamination Examples 3-sphere Torus bundles Surface bundles over the circle Graph manifolds Knot complements Whitehead manifold Invariants Fundamental
List of geometric topology topics
List_of_geometric_topology_topics
Intersection graph of unit intervals on the real line
interval graph; in particular, it is a special case of a chordal graph and of a perfect graph. It is also a special case of a circle graph, something
Indifference_graph
Index of articles associated with the same name
Circulant graph, a graph with cyclic symmetry Cycle (graph theory), a nontrivial path in some graph from a node to itself Cyclic graph, a graph containing
Cyclic_(mathematics)
In mathematics, straight line touching a plane curve without crossing it
inflection point. Circles, parabolas, hyperbolas and ellipses do not have any inflection point, but more complicated curves do have, like the graph of a cubic
Tangent
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
Intersection graph for intervals on the real number line
intersection graph of the intervals. Interval graphs are chordal graphs and perfect graphs. They can be recognized in linear time, and an optimal graph coloring
Interval_graph
Graph defined from a set of points in the Euclidean plane
In mathematics and computational geometry, the Gabriel graph of a set S {\displaystyle S} of points in the Euclidean plane expresses one notion of proximity
Gabriel_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
the circle, as a square root scale. This form of an ergograph is an example of a polar line graph or (because the data form "bands" on the graph) a polar
Ergograph
Mathematical group that can be generated as the set of powers of a single element
nilpotent group is polycyclic. Cycle graph (group) Cyclic module Cyclic sieving Prüfer group (countably infinite analogue) Circle group (uncountably infinite analogue)
Cyclic_group
Algorithmically defined graph
In the study of graph algorithms, an implicit graph representation (or more simply implicit graph) is a graph whose vertices or edges are not represented
Implicit_graph
Methods of organizing and loading containers
ship stowage problem: complexity and connection to the coloring of circle graphs". Discrete Applied Mathematics. 103 (1–3): 271–279. doi:10.1016/S0166-218X(99)00245-0
Stowage plan for container ships
Stowage_plan_for_container_ships
Number, approximately 3.14
mathematical constant, approximately equal to 3.14159, that is the ratio of a circle's circumference to its diameter. It appears in many formulae across mathematics
Pi
Binary operation combining the vertex and edge sets of two graphs
nonempty graphs is necessarily disconnected. The disjoint union is also called the graph sum and may be represented either by a plus sign or a circled plus
Disjoint_union_of_graphs
A hyperbolic geometric graph (HGG) or hyperbolic geometric network (HGN) is a special type of spatial network where (1) latent coordinates of nodes are
Hyperbolic_geometric_graph
Type of topological space
circle. This makes it a simple example of a topological graph. A rose with n petals can also be obtained by identifying n points on a single circle.
Rose_(topology)
Puzzle computer game involving planar graphs
is presented with a circular layout of a planar graph, with all the vertices placed on a single circle and with many crossings. The goal for the player
Planarity
Graph drawing with vertices in horizontal layers
Layered graph drawing or hierarchical graph drawing is a type of graph drawing in which the vertices of a directed graph are drawn in horizontal rows or
Layered_graph_drawing
Circles related to a point in the plane
Tangent lines to circles Circle packing theorem, the result that every planar graph may be realized by a system of tangent circles Feuerbach's theorem
Tangent_circles
Distance along a curve
}}\right)^{2}+r^{2}\,}}d\theta .} The second expression is for a polar graph r = r ( θ ) {\displaystyle r=r(\theta )} parameterized by t = θ {\displaystyle
Arc_length
Archimedean solid with 32 faces
represented as the symmetric graph with 30 vertices and 60 edges, one of the Archimedean graphs. It is a symmetric quartic graph, meaning that each vertex
Icosidodecahedron
2005 mathematics text
circles should touch. The circle packing theorem states that a circle packing exists if and only if the pattern of adjacencies forms a planar graph;
Introduction to Circle Packing
Introduction_to_Circle_Packing
Concept in geometry
area enclosed by a circle of radius r is πr2. Here, the Greek letter π represents the constant ratio of the circumference of any circle to its diameter,
Area_of_a_circle
is the graph-theoretic analogue of the topological rose, a space of m {\displaystyle m} circles joined at a point. When the context of graph theory is
Bouquet_graph
published in Leipzig. William Playfair produces the first pie chart and circle graph, to show part-whole relations. Xavier Bichat publishes his Anatomie générale
1801_in_science
Topics referred to by the same term
Diameter (graph theory), the longest distance between two vertices of a graph Diameter (group theory), the maximum diameter of a Cayley graph of the group
Diameter_(disambiguation)
In topology, a graph manifold (in German: Graphenmannigfaltigkeit) is a 3-manifold which is obtained by gluing some circle bundles. They were discovered
Graph_manifold
Number of edge slopes in graph drawing
In graph drawing and geometric graph theory, the slope number of a graph is the minimum possible number of distinct slopes of edges in a drawing of the
Slope_number
Any planar graph can be subdivided by removing a few vertices
In graph theory, the planar separator theorem is a form of isoperimetric inequality for planar graphs, that states that any planar graph can be split
Planar_separator_theorem
Zero of the derivative of a function
stationary point of a differentiable function of one variable is a point on the graph of the function where the function's derivative is zero. Informally, it
Stationary_point
Circles whose tangent lines at the points of intersection are perpendicular
Alexander (2019), "On arrangements of orthogonal circles", in Archambault, D.; Tóth, C. (eds.), Graph Drawing and Network Visualization, Proceedings of
Orthogonal_circles
Shortest network connecting points
geometric graphs including the relative neighborhood graph and Delaunay triangulation. By constructing the Delaunay triangulation and then applying a graph minimum
Euclidean minimum spanning tree
Euclidean_minimum_spanning_tree
Constructs with triply-connected vertices
connected 3-regular (cubic) simple graphs are listed for small vertex numbers. The number of connected simple cubic graphs on 4, 6, 8, 10, ... vertices is
Table_of_simple_cubic_graphs
Topological space arising from a usual graph
In topology, a branch of mathematics, a graph is a topological space which arises from a usual graph G = ( E , V ) {\displaystyle G=(E,V)} by replacing
Graph_(topology)
Embedding a graph in 3D space with no cycles interlinked
In topological graph theory, a mathematical discipline, a linkless embedding of an undirected graph is an embedding of the graph into three-dimensional
Linkless_embedding
Software design structured around a node graph
Node graph architecture is a software design structured around the notion of a node graph. Both the source code and the user interface are designed around
Node_graph_architecture
Algorithm used for pathfinding and graph traversal
A* (pronounced "A-star") is a graph traversal and pathfinding algorithm that is used in many fields of computer science due to its completeness, optimality
A*_search_algorithm
Largest distance between two points
arbitrary graphs and in special classes of graphs. Special cases of graph diameter include the diameter of a group, defined using a Cayley graph with the
Diameter_of_a_set
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
CIRCLE GRAPH
CIRCLE GRAPH
Girl/Female
Latin
Circle of light.
Girl/Female
Latin
Circle of light.
Female
Yiddish
(מִירל) Yiddish form of Hebrew Miryam, MIRELE means "obstinacy, rebelliousness" or "their rebellion."Â
Female
Slovene
Feminine form of Slovene Ciril, CIRILA means "lord."
Girl/Female
Bengali, Indian
Circle; Normal
Boy/Male
English
Birch.
Female
French
French form of Latin Carola, CAROLE means "man."
Girl/Female
British, English
Botanical Name; The Myrtle is a Dark Green Shrub with Pink or White Blossoms
Male
Slovene
Slovene form of Greek Kyrillos, CIRIL means "lord."
Boy/Male
English
From the bird hill.
Boy/Male
French Israeli
The circle.
Girl/Female
French American
The french form of the English Carol, a dimunitive of Charles meaning strong.
Surname or Lastname
English
English : variant spelling of Cordell.Possibly an Americanized spelling of German Kördel, a pet form of an old German personal name, formed with kuoni ‘daring’. Compare Conrad.
Boy/Male
Spanish Greek
noble.
Female
English
English name derived from the vocabulary word, from Latin miraculum, MIRACLE means "marvel, wonder."
Girl/Female
Japanese
Ball; circle.
Girl/Female
Latin
Circle of light.
Boy/Male
Christian, Hindu, Indian
Bright Circle
Girl/Female
Greek Latin
A witch.
Male
Celtic
, sea circle.
CIRCLE GRAPH
CIRCLE GRAPH
Boy/Male
Hindu, Indian
It's a Truthful and Pious Life
Girl/Female
German, Swedish
People's Ruler; Ruler of the People
Girl/Female
Indian
Near, Close
Male
Italian
Italian form of Latin Josephus, GIUSEPPE means "(God) shall add (another son)."Â
Girl/Female
Christian & English(British/American/Australian)
Variant of Jane
Surname or Lastname
English and Scottish
English and Scottish : variant of Lister.
Male
English
English variant spelling of Spanish Alphonso, ALPHONZO means "noble and ready."
Boy/Male
Scottish
Second son.
Girl/Female
Arabic
Form of Shakira
Girl/Female
Gaelic
Ann.
CIRCLE GRAPH
CIRCLE GRAPH
CIRCLE GRAPH
CIRCLE GRAPH
CIRCLE GRAPH
n.
A little circle; esp., an ornament for the person, having the form of a circle; that which encircles, as a ring, a bracelet, or a headband.
n.
An imaginary circle or orbit in the heavens; one of the celestial spheres.
n.
An amphitheatrical circle for sports; a circus.
imp. & p. p.
of Circle
v. t.
To form a circle about; to inclose within a circle or ring; to surround; as, to encircle one in the arms; the army encircled the city.
a.
Having the form of a circle; round.
a.
Having the nature, properties, or qualities, of an adult man; characteristic of developed manhood; hence, masterful; forceful; specifically, capable of begetting; -- opposed to womanly, feminine, and puerile; as, virile age, virile power, virile organs.
v. i.
To change into curd; to coagulate; as, rennet causes milk to curdle.
n.
One entire round in a circle or a spire; as, a cycle or set of leaves.
n.
A miracle play.
n.
An instrument of observation, the graduated limb of which consists of an entire circle.
v. i.
To move circularly; to form a circle; to circulate.
p. pr. & vb. n.
of Circle
n.
A circle; a circus; a circular erection or arrangement of objects.
n.
To encompass, as by a circle; to surround; to inclose; to encircle.
n.
Alt. of Corcule
n.
A circlet.
v. t.
To girdle; to encircle.
v. t.
See Encircle.
n.
A circle.