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Procedures for constructing new graphs in graph theory
In the mathematical field of graph theory, graph operations are operations which produce new graphs from initial ones. They include both unary (one input)
Graph_operations
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
Vertices connected in pairs by edges
In discrete mathematics, particularly in graph theory, a graph is a structure consisting of a set of objects where some pairs of the objects are in some
Graph_(discrete_mathematics)
Form of data structure
applying the operation(s) (often the updating and rendering operations are applied one after the other), and recursively moving down the scene graph (tree)
Scene_graph
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
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
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 with same nodes as but complementary connections to another
In the mathematical field of graph theory, the complement or inverse of a graph G is a graph H on the same vertices such that two distinct vertices are
Complement_graph
Recursively-formed graph with two terminal vertices
two simple composition operations. They can be used to model series and parallel electric circuits. In this context, the term graph means multigraph. There
Series–parallel_graph
Binary operation combining the vertex and edge sets of two graphs
In graph theory, a branch of mathematics, the disjoint union of graphs is an operation that combines two or more graphs to form a larger graph. It is
Disjoint_union_of_graphs
Subgraph with contracted edges
In graph theory, an undirected graph H is called a minor of the graph G if H can be formed from G by deleting edges and vertices and by contracting edges
Graph_minor
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
Topics referred to by the same term
Binary operation, calculation that combines two elements of the set to produce another element of the set Graph operations, produce new graphs from initial
Operation
Directed graph with reversed edges
mathematical and algorithmic study of graph theory, the converse, transpose or reverse of a directed graph G is another directed graph on the same set of vertices
Transpose_graph
API for graph data and graph operations
or an incidence matrix. The GraphBLAS specification describes how graph operations (e.g. traversing and transforming graphs) can be efficiently implemented
GraphBLAS
Graph formed by complementation and disjoint union
In graph theory, a cograph, or complement-reducible graph, or P4-free graph, is a graph that can be generated from the single-vertex graph K1 by complementation
Cograph
In graph theory, a quotient graph Q of a graph G is a graph whose vertices are blocks of a partition of the vertices of G and where block B is adjacent
Quotient_graph
Edge-face adjacencies in another graph
graph theory, the medial graph of plane graph G is another graph M(G) that represents the adjacencies between edges in the faces of G. Medial graphs were
Medial_graph
Type of knowledge base
knowledge graph is a knowledge base that uses a graph-structured data model or topology to represent and operate on data. Knowledge graphs are often used
Knowledge_graph
Operation that combines two graphs
In graph theory, the join operation is a graph operation that combines two graphs by connecting every vertex of one graph to every vertex of the other
Join_(graph_theory)
Measure of similarity between two graphs
the graph are labeled and whether the edges are directed. Generally, given a set of graph edit operations (also known as elementary graph operations), the
Graph_edit_distance
In graph theory, a fan graph (also called a path-fan graph) is a graph formed by the join of a path graph and an empty graph on a single vertex. The fan
Fan_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
In graph theory, a moral graph is used to find the equivalent undirected form of a directed acyclic graph. It is a key step of the junction tree algorithm
Moral_graph
Graph of short distances in another graph
In graph theory, a branch of mathematics, the kth power Gk of an undirected graph G is another graph that has the same set of vertices, but in which two
Graph_power
Binary operation on graphs
graph theory, a graph product is a binary operation on graphs. Specifically, it is an operation that takes two graphs G1 and G2 and produces a graph H
Graph_product
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
Deleting a graph edge and merging its nodes
In graph theory, an edge contraction is an operation that removes an edge from a graph while simultaneously merging the two vertices that it previously
Edge_contraction
Graph operation in graph theory
In the mathematical field of graph theory, the double graph of a simple graph G {\displaystyle G} is a graph derived from G {\displaystyle G} by a specific
Double_graph
Operation on graphs
simple graph. For this reason ΔY- and YΔ-transformations are most naturally considered as operations on multigraphs. On multigraphs both operations preserve
YΔ-_and_ΔY-transformation
Operation in graph theory
In graph theory, the Cartesian product G □ H of graphs G and H is a graph such that: the vertex set of G □ H is the Cartesian product V(G) × V(H); and
Cartesian_product_of_graphs
Graph representing connectivity between cliques of another graph
simplex graph of a complete graph is a hypercube graph, and the simplex graph of a cycle graph of length four or more is a gear graph. The simplex graph of
Simplex_graph
In graph theory, a stepwise irregular graph (or SI graph) is a graph in which the degrees of any two adjacent vertices differ by exactly one. This concept
Stepwise_irregular_graph
Data query language developed by Facebook
or modified. A GraphQL server can process a client query using data from separate sources and present the results in a unified graph. The language is
GraphQL
Gluing graphs at complete subgraphs
decomposition for any graph family closed under graph minor operations: the graphs in every minor-closed family may be formed from clique-sums of graphs that are "nearly
Clique-sum
Adjacent subset of an undirected graph
build up the graph from disjoint unions, relabeling operations, and operations that connect all pairs of vertices with given labels. The graphs with clique-width
Clique_(graph_theory)
Graph representing structure of another graph's cliques
In graph theory, a clique graph of an undirected graph G is another graph K(G) that represents the structure of cliques in G. Clique graphs were discussed
Clique_graph
Square matrix used to represent a graph or network
In graph theory and computer science, an adjacency matrix is a square matrix used to represent a finite graph. The elements of the matrix indicate whether
Adjacency_matrix
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
Operation in graph theory
In graph theory, local complementation (also known as vertex inversion) is an operation on a graph that toggles adjacencies among the neighbours of a
Local_complementation
Derived graph of higher chromatic number
In the mathematical area of graph theory, the Mycielskian or Mycielski graph of an undirected graph is a larger graph formed from it by a construction
Mycielskian
Graph operation
In graph theory, a branch of mathematics, the Hajós construction is an operation on graphs named after György Hajós (1961) that may be used to construct
Hajós_construction
Technique in electrical circuit analysis
the Y-Δ transform plays an important role in theory of circular planar graphs. The Y-Δ transform is known by a variety of other names, mostly based upon
Y-Δ_transform
Graph made from a subset of another graph's nodes and their edges
In graph theory, an induced subgraph of a graph is another graph, formed from a subset of the vertices of the graph and all of the edges, from the original
Induced_subgraph
Graph operation
construction or Goldberg–Coxeter operation (GC construction or GC operation) is a graph operation defined on regular polyhedral graphs with degree 3 or 4. It also
Goldberg–Coxeter_construction
Derived bipartite graph with twice as many nodes as the original graph
In graph theory, the bipartite double cover of an undirected graph G is a bipartite, covering graph of G, with twice as many vertices as G. It can be constructed
Bipartite_double_cover
Logical formulation of graph properties
the mathematical fields of graph theory and finite model theory, the logic of graphs deals with formal specifications of graph properties using sentences
Logic_of_graphs
Class of artificial neural networks
Graph neural networks (GNNs) are artificial neural networks designed for tasks whose inputs are graphs. Because graphs usually do not have a canonical
Graph_neural_network
Creating a new graph from an existing graph
computer science, graph transformation, or graph rewriting, concerns the technique of creating a new graph out of an original graph algorithmically. It
Graph_rewriting
Method of finding a directed graph's strongly connected components
primitive graph operations that the algorithm uses are to enumerate the vertices of the graph, to store data per vertex (if not in the graph data structure
Kosaraju's_algorithm
In graph theory, a branch of mathematics, a periodic graph with respect to an operator F on graphs is one for which there exists an integer n > 0 such
Periodic_graph_(graph_theory)
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 whose nodes are one of the vertex sets of a bipartite graph
In graph theory, the bipartite half or half-square of a bipartite graph G = (U,V,E) is a graph whose vertex set is one of the two sides of the bipartition
Bipartite_half
Binary operation in graph theory
graphs that are either adjacent or identical. The strong product is one of several different graph product operations that have been studied in graph
Strong_product_of_graphs
a rotation map is a function that represents an undirected edge-labeled graph, where each vertex enumerates its outgoing neighbors. Rotation maps were
Rotation_map
constraint satisfaction research in artificial intelligence and operations research, constraint graphs and hypergraphs are used to represent relations among constraints
Constraint_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
Algorithm for finding shortest paths
an algorithm for finding the shortest paths between nodes in a weighted graph, which may represent, for example, a road network. It was conceived by computer
Dijkstra's_algorithm
Graph formed by adding isolated or universal vertices
graph theory, a threshold graph is a graph that can be constructed from a one-vertex graph by repeated applications of the following two operations:
Threshold_graph
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
Topological index in graph theory
the degrees of vertices in a graph. Introduced by Fajtlowicz in 1987, it has become an important descriptor in chemical graph theory and has been extensively
Harmonic_index
Mapping a graph onto itself without changing edge-vertex connectivity
In the mathematical field of graph theory, an automorphism of a graph is a form of symmetry in which the graph is mapped onto itself while preserving
Graph_automorphism
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)
Directed graph representing dependencies
mathematics, computer science and digital electronics, a dependency graph is a directed graph representing dependencies of several objects towards each other
Dependency_graph
A family of simple undirected graphs defined by spectral properties
In graph theory, a nut graph is a finite simple graph on at least two vertices whose adjacency matrix has nullity one and whose kernel is spanned by a
Nut_graph_(graph_theory)
Formalism for knowledge representation
in the sense of graph theory, and reasoning operations are performed by operations on these diagrams. Key features of GBKR, the graph-based knowledge
Conceptual_graph
Minimum spanning forest algorithm that greedily adds edges
algorithm finds a minimum spanning forest of an undirected edge-weighted graph. If the graph is connected, it finds a minimum spanning tree. It is a greedy algorithm
Kruskal's_algorithm
Operation in graph theory
In graph theory, the tensor product G × H of graphs G and H is a graph such that the vertex set of G × H is the Cartesian product V(G) × V(H); and vertices
Tensor_product_of_graphs
Inverse sum of distances in a graph
effectively for disconnected graphs and allows to create convenient formulae for graph operations. For example: If graph G 1 + G 2 {\displaystyle G_{1}+G_{2}}
Closeness_centrality
Cubic graph with 8 vertices and 12 edges
mathematical field of graph theory, the Wagner graph is a 3-regular graph with 8 vertices and 12 edges. It is the 8-vertex Möbius ladder graph. As a Möbius ladder
Wagner_graph
product operations can be used to construct chemically interesting molecular graphs from simpler component graphs. Topological indices are numerical graph invariants
Corona_product
Topics referred to by the same term
Edge contraction or vertex contraction, graph operations used in graph theory Tensor contraction, an operation on one or more tensors that arises from
Contraction
Computational problem of graph theory
In graph theory, the shortest path problem is the problem of finding a path between two vertices (or nodes) in a graph such that the sum of the weights
Shortest_path_problem
Embedding of the circle in three dimensional Euclidean space
mathematics that studies knots is known as knot theory and has many relations to graph theory. A knot is an embedding of the circle (S1) into three-dimensional
Knot_(mathematics)
Subdivision of vertices into disjoint sets
In mathematics, a graph partition is the reduction of a graph to a smaller graph by partitioning its set of nodes into mutually exclusive groups. Edges
Graph_partition
In polytope theory, the edge graph (also known as vertex-edge graph or just graph) of a polytope is a combinatorial graph whose vertices and edges correspond
Graph_of_a_polytope
Kind of distributed data structure
Skip graphs support the basic operations of search, insert and delete. Skip graphs will also support the more complex range search operation. The search
Skip_graph
Query language for property graphs
closed over graphs: graph inputs are processed to create a graph output, using graph projections and graph set operations to construct the new graph. G-CORE
Graph_Query_Language
Graph that encodes local operations in mathematics
another by an elementary operation called a flip. Flip graphs are special cases of geometric graphs. Among notable flip graphs, one finds the 1-skeleton
Flip_graph
Graphs that differ only by edge subdivision
In graph theory, two graphs G {\displaystyle G} and G ′ {\displaystyle G'} are homeomorphic if there is a graph isomorphism from some subdivision of G
Homeomorphism_(graph_theory)
Planar graph with 4 nodes and 5 edges
minor operations. This graph family may be characterized by a single forbidden minor. This minor is the diamond graph. If both the butterfly graph and the
Diamond_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
Spectral graph theory concept
spectral graph theory, a Ramanujan graph is a regular graph whose spectral gap is almost as large as possible (see extremal graph theory). Such graphs are
Ramanujan_graph
In graph theory, the Laman graphs are a family of sparse graphs describing the minimally rigid systems of rods and joints in the plane. Formally, a Laman
Laman_graph
Maximal subgraph whose vertices can reach each other
In graph theory, a component of an undirected graph is a connected subgraph that is not part of any larger connected subgraph. The components of any graph
Component_(graph_theory)
Binary operation in graph theory
In graph theory, the zig-zag product of regular graphs G , H {\displaystyle G,H} , denoted by G ∘ H {\displaystyle G\circ H} , is a binary operation which
Zig-zag_product
Data structure representing a graph
In graph theory and computer science, an adjacency list is a collection of unordered lists used to represent a finite graph. Each unordered list within
Adjacency_list
6 operations in topological graph theory
In topological graph theory, the Wilson operations are a group of six transformations on graph embeddings. They are generated by two involutions on embeddings
Wilson_operation
Complexity class
(2006). "Exact algorithms for the Hamiltonian cycle problem in planar graphs". Operations Research Letters. 34 (3): 269–274. doi:10.1016/j.orl.2005.04.013
NP-completeness
precedence graph, also named conflict graph and serializability graph, is used in the context of concurrency control in databases. It is the directed graph representing
Precedence_graph
Planar graph with 23 vertices and 63 edges
In the mathematical field of graph theory, the Kittell graph is a planar graph with 23 vertices and 63 edges. Its unique planar embedding has 42 triangular
Kittell_graph
Graphical representation of a computer program or algorithm
sequence of operations and control flow. Only the representation of the individual operations is different. A very explicit control flow graph can be obtained
Control-flow_graph
these are all in the form of some number of disjoint 2-paths. Various graph operations have been shown to preserve the property of being imbalance graphic:
Imbalance_conjecture
Balanced complete multipartite graph
The Turán graph, denoted by T ( n , r ) {\displaystyle T(n,r)} , is a complete multipartite graph; it is formed by partitioning a set of n {\displaystyle
Turán_graph
Graphs whose distances obey Ptolemy's inequality
In graph theory, a Ptolemaic graph is an undirected graph whose shortest path distances obey Ptolemy's inequality, which in turn was named after the Greek
Ptolemaic_graph
Scientific data analysis software
routine operations. Instead the user relies on customizable graph templates, analysis dialog box Themes which save a particular suite of operations, auto
Origin (data analysis software)
Origin_(data_analysis_software)
Open-source data analytics cluster computing framework
workflow is managed as a directed acyclic graph (DAG). Nodes represent RDDs while edges represent the operations on the RDDs. Spark facilitates the implementation
Apache_Spark
Browser-based graphing calculator
Desmos is an advanced graphing calculator implemented as a web application and a mobile application written in TypeScript and JavaScript. Desmos was founded
Desmos
Structure-preserving correspondence between node-link graphs
In the mathematical field of graph theory, a graph homomorphism is a mapping between two graphs that respects their structure. More concretely, it is a
Graph_homomorphism
Graph representing social relations
social graph is a graph that represents social relations between entities. It is a model or representation of a social network. The social graph has been
Social_graph
GRAPH OPERATIONS
GRAPH OPERATIONS
Girl/Female
Indian
Grape like
Boy/Male
Hindu, Indian
Efficient; Conqueror of Miseries; Bond in Affection; Capable; Mysterious; Different than Others; Smart; Most Mysterious Vastu Grah 'Rahu'; Son of Lord Buddha; Son of Goddess Durga; Truth Follower; Best of All
Girl/Female
Afghan, Arabic, Hebrew, Indian, Muslim, Parsi, Sanskrit
Grape Presser; World; Song; Universe
Girl/Female
Muslim
Grape vine
Boy/Male
Afghan, Hebrew, Indian, Parsi, Sanskrit
Grape Presser; World; Song
Girl/Female
Indian
Grape vine
Female
Thai/Siamese
Thai name A-GUN means "grape."
Boy/Male
Arabic, Modern
Grape
Boy/Male
Hebrew, Hindu, Indian, Marathi
Grape Cluster
Boy/Male
Indian
Grape
Boy/Male
Hindu, Indian, Punjabi, Sikh
From Kashmir; Grape
Boy/Male
Biblical
A grape, a knot.
Girl/Female
Hindu
Grape, Belonging to kashmir
Boy/Male
Muslim
Grape
Biblical
a grape; a knot
Girl/Female
Muslim
Grape like
Boy/Male
Biblical
A grape, a knot.
Girl/Female
Tamil
Kaslunira | கஸà¯à®²à¯à®‚நீரா
Grape, Belonging to kashmir
Kaslunira | கஸà¯à®²à¯à®‚நீரா
Girl/Female
Arabic, Assamese, Hindu, Indian, Kannada, Malayalam, Marathi, Muslim, Telugu
Grape
Boy/Male
African, Arabic
Grape Vines
GRAPH OPERATIONS
GRAPH OPERATIONS
Surname or Lastname
French
French : habitational name for someone from Rhonne in Savoy, or topographic name for someone who lived by the Rhône river.English : apparently a variant spelling of Rone.German : variant spelling of Rohne, a variant of Rohn.
Girl/Female
Arabic, Australian, Muslim
Shine
Girl/Female
Irish
blath means “flower, blossom.†In legend, Blaithnaid, the reluctant wife of Curai Mac Daire, loved Cuchulainn (read the legend), her husband’s rival. She revealed the secret entrance to her husband’s fortress to him by milking her cow and letting the milk run down the hill into a stream. Cuchulainn followed the stream, raided the fortress and rescued Blathnaid.
Surname or Lastname
English
English : variant of Backus.
Girl/Female
British, English
Hay Meadow
Male
Irish
Irish Gaelic name DAGDA means "the good god." In Celtic mythology, this is the name of a god of knowledge and magic, and a leader of the Tuatha Dé Danann, supernatural beings who inhabited Ireland prior to the coming of the Celts.
Boy/Male
Hindu
Glory of Hera, Divine glory
Girl/Female
Indian
Her Highness
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Traveller
Boy/Male
Tamil
GRAPH OPERATIONS
GRAPH OPERATIONS
GRAPH OPERATIONS
GRAPH OPERATIONS
GRAPH OPERATIONS
n.
A white grape, esteemed for the table.
n.
A grape dried in the sun; a raisin.
n.
See Grasshopper, and Frog hopper, Grape hopper, Leaf hopper, Tree hopper, under Frog, Grape, Leaf, and Tree.
n.
A plant of the genus Muscari; grape hyacinth.
n.
A grape, or a bunch of grapes.
n.
The cultivation of the vine; grape growing.
n.
The plant which bears this fruit; the grapevine.
n.
A grape of many varieties and colors.
n.
The Hartford grape, a variety of grape first raised at Hartford, Connecticut, from the Northern fox grape. Its large dark-colored berries ripen earlier than those of most other kinds.
a.
Composed of, or resembling, grapes.
n.
A variety of shaddock, called also grape fruit.
n.
A well-known edible berry growing in pendent clusters or bunches on the grapevine. The berries are smooth-skinned, have a juicy pulp, and are cultivated in great quantities for table use and for making wine and raisins.
n.
A sort of grape.
n.
A seed of the grape.
a.
Full of small kernels like a grape.
a.
Resembling a grape.
n.
A mangy tumor on the leg of a horse.
n.
Grapeshot.