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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
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
Maximal biconnected subgraph
In graph theory, a biconnected component or block (sometimes known as a 2-connected component) is a maximal biconnected subgraph. Any connected graph decomposes
Biconnected_component
Graphical representation of a computer program or algorithm
flow graph is the directed graph of the basic blocks of the function (the nodes of the graph) and the control flow between them (the edges of the graph).
Control-flow_graph
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
Cryptocurrency
The Graph is an open-source, decentralized protocol that powers the indexing and querying of blockchain data. It enables developers to build scalable
The_Graph
Mathematical tree of cycles
it is a connected graph in which every edge belongs to at most one simple cycle, or (for nontrivial cacti) in which every block (maximal subgraph without
Cactus_graph
self-complementary graph, a block graph, a split graph, an interval graph, a claw-free graph, a 1-vertex-connected graph and a 1-edge-connected graph. A graph is bull-free
Bull_graph
Graph whose shortest paths are unique
In graph theory, a geodetic graph is an undirected graph such that there exists a unique (unweighted) shortest path between each two vertices. Geodetic
Geodetic_graph
Adjacent subset of an undirected graph
cluster graph is a graph whose connected components are cliques. A block graph is a graph whose biconnected components are cliques. A chordal graph is a
Clique_(graph_theory)
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 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
Topics referred to by the same term
Look up Block, Blocks, block, blocked, or blocks in Wiktionary, the free dictionary. Block or blocked may refer to: Block programming, the result of a
Block
Graph made from disjoint union of complete graphs
relation. Every cluster graph is a block graph, a cograph, and a claw-free graph. Every maximal independent set in a cluster graph chooses a single vertex
Cluster_graph
Graphs whose distances obey Ptolemy's inequality
graphs are exactly the graphs that are both chordal and distance-hereditary; they include the block graphs and are a subclass of the perfect graphs.
Ptolemaic_graph
Open problem in graph theory
classes of block graphs: Block graphs having all cut vertices in a single block Block graphs in which cut vertices induce a star Block graphs in which cut
Imbalance_conjecture
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
Concept in network science
The stochastic block model is a generative model for random graphs. This model tends to produce graphs containing communities, subsets of nodes characterized
Stochastic_block_model
Flow graph invented by Claude Shannon
A signal-flow graph or signal-flowgraph (SFG), invented by Claude Shannon, but often called a Mason graph after Samuel J. Mason who coined the term, is
Signal-flow_graph
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
Graph family made by joining complete graphs at a universal node
complete graphs from which it is formed, it is (k − 1)-edge-connected. It is trivially perfect and a block graph. By construction, the windmill graph Wd(3
Windmill_graph
Mathematical graph of a sudoku
block of the puzzle. The problem of solving a sudoku puzzle can be represented as precoloring extension on this graph. It is an integral Cayley graph
Sudoku_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
Edge whose deletion would disconnect a graph
In graph theory, a bridge, isthmus, cut-edge, or cut arc is an edge of a graph whose deletion increases the graph's number of connected components. Equivalently
Bridge_(graph_theory)
Graph where all long cycles have a chord
In the mathematical area of graph theory, a chordal graph is one in which all cycles of four or more vertices have a chord, which is an edge that is not
Chordal_graph
Code sequence with no branches except at entry and exit
Basic blocks form the vertices or nodes in a control-flow graph. The code in a basic block has: One entry point, meaning that no code within it is the
Basic_block
Writing paper with a grid
Graph paper, coordinate paper, grid paper, or squared paper is writing paper that is printed with fine lines making up a regular grid. It is available
Graph_paper
Number of vertices with unambiguous distances
algorithms exist for cographs, chain graphs, and cactus block graphs (a class including both cactus graphs and block graphs). The problem may be solved in polynomial
Metric dimension (graph theory)
Metric_dimension_(graph_theory)
Method of finding a directed graph's strongly connected components
transpose graph (the same graph with the direction of every edge reversed) has exactly the same strongly connected components as the original graph. The primitive
Kosaraju's_algorithm
Approximate nearest neighbor search algorithm
datasets. HNSW stores vectors in a graph. Each vector is a node, and links connect it to some nearby vectors. The graph has several layers: upper layers
Hierarchical navigable small world
Hierarchical_navigable_small_world
Two closely related models for generating random graphs
the mathematical field of graph theory, the Erdős–Rényi models are two closely related models for generating random graphs and the evolution of a random
Erdős–Rényi_model
Graph path which is an induced subgraph
connected block graphs are the graphs in which there is exactly one induced path between every two vertices. It is NP-complete to determine, for a graph G and
Induced_path
Matrix representation of a graph
In the mathematical field of graph theory, the Laplacian matrix, also called the graph Laplacian, admittance matrix, Kirchhoff matrix, or discrete Laplacian
Laplacian_matrix
attached to are known. The graph to the left shows the progress of an inner decoder. The x-axis plots the number of check blocks received and the dashed
Online_codes
Graphical system analysis method
input variables to block inputs, block outputs to output variables, and also block outputs as inputs of other blocks. Black box Bond graph Data flow diagram
Block_diagram
Infinite graph containing all countable graphs
In the mathematical field of graph theory, the Rado graph, Erdős–Rényi graph, or random graph is a countably infinite graph that can be constructed (with
Rado_graph
Strongly regular graph
The M22 graph, also called the Mesner graph, Witt graph, or 77-graph, is the unique strongly regular graph with parameters (77, 16, 0, 4). It is constructed
M22_graph
mathematical graph theory, the Higman–Sims graph is a 22-regular undirected graph with 100 vertices and 1100 edges. It is the unique strongly regular graph srg(100
Higman–Sims_graph
Type of graph related to pursuit–evasion
In graph theory, a cop-win graph is an undirected graph on which the pursuer (cop) can always win a pursuit–evasion game against a robber, with the players
Cop-win_graph
Matrix that shows the relationship between two classes of objects
common graph representation in graph theory. It is different to an adjacency matrix, which encodes the relation of vertex-vertex pairs. In graph theory
Incidence_matrix
Function type in graph theory
In graph theory and statistics, a graphon (also known as a graph limit) is a symmetric measurable function W : [ 0 , 1 ] 2 → [ 0 , 1 ] {\displaystyle
Graphon
Strongly regular graph
elements and 6-element blocks with each triple of elements covered by exactly one block). In this construction, the 231 vertices of the graph correspond to the
Cameron_graph
Type of graph
In graph theory, a biconnected graph is a connected and "nonseparable" graph, meaning that if any one vertex were to be removed, the graph will remain
Biconnected_graph
Graphical representation of energy flows in physical systems
A bond graph is a graphical representation of the energy flows through, and between physical dynamical systems including those in the electrical, mechanical
Bond_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
Mathematical abstraction of level sets
its leaf block contains a vertex with degree at most 2 If f {\displaystyle f} is a Morse function with distinct critical values, the Reeb graph can be described
Reeb_graph
Japanese physicist
one cycle) and block graphs (the graphs in which, for every cycle, all diagonals of the cycle are edges). Husimi studied cactus graphs in a 1950 paper
Kôdi_Husimi
Clustering and community detection algorithm
well-connected. Consider, for example, the following graph: Three communities are present in this graph (each color represents a community). Additionally
Leiden_algorithm
vertex set of the graph. A partition is equitable if for any pair of vertices u and v in the same block of the partition and any block B of the partition
Fractional_graph_isomorphism
Tree node with two other nodes as descendants
In graph theory and computer science, the lowest common ancestor (LCA) (also called least common ancestor) of two nodes v and w in a tree or directed
Lowest_common_ancestor
tree problem. Feedback vertex set Feedback arc set Graph coloring Graph homomorphism problem Graph partition into subgraphs of specific types (triangles
List_of_NP-complete_problems
Concept in graph theory
Such benchmark graphs are a special case of the planted l-partition model of Condon and Karp, or more generally of "stochastic block models", a general
Community_structure
API for graph data and graph operations
GraphBLAS (/ˈɡræfˌblɑːz/ ) is an API specification that defines standard building blocks for graph algorithms in the language of linear algebra. GraphBLAS
GraphBLAS
Community development block in West Bengal, India
Karandighi is a community development block that forms an administrative division in Islampur subdivision of Uttar Dinajpur district in the Indian state
Karandighi
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
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
In graph theory, the mathematically simplest spatial network
In graph theory, a random geometric graph (RGG) is the mathematically simplest spatial network, namely an undirected graph constructed by randomly placing
Random_geometric_graph
Process by which people befriend similar people
policies have a decreased influence on fertility rates in such populations. In graph representation learning, homophily means that nodes with the same label
Homophily
Graph in comparative genomics
Sequence graph, also called an alignment graph, breakpoint graph, or adjacency graph, are bidirected graphs used in comparative genomics. The structure
Sequence_graph
Standard hostname for a networked device's loopback interface
display its home page. IPv4 network standards reserve the entire address block 127.0.0.0/8 (more than 16 million addresses) for loopback purposes. That
Localhost
Degree of connectedness within a graph
In graph theory and network analysis, indicators of centrality assign numbers or rankings to nodes within a graph corresponding to their network position
Centrality
Graph where most nodes are reachable in a small number of steps
network example Hubs are bigger than other nodes A small-world network is a graph characterized by a high clustering coefficient and low distances. In an
Small-world_network
Method of analyzing variables in software
control-flow graph can then be topologically sorted; running in the order of this sort, the entry states can be computed at the start of each block, since all
Data-flow_analysis
Type of chart
A bar chart or bar graph is a chart or graph that presents categorical data with rectangular bars with heights or lengths proportional to the values that
Bar_chart
Mathematical graph relating to chess
In graph theory, a knight's graph, or a knight's tour graph, is a graph that represents all legal moves of the knight chess piece on a chessboard. Each
Knight's_graph
Knowledge base that represents semantic relations between concepts in a network
used as a form of knowledge representation. It is a directed or undirected graph consisting of vertices, which represent concepts, and edges, which represent
Semantic_network
Analysis of social structures using network and graph theory
process of investigating social structures through the use of networks and graph theory. It characterizes networked structures in terms of nodes (individual
Social_network_analysis
Graph where every edge is in one triangle
triangles of any locally linear graph form the hyperedges of a triangle-free 3-uniform linear hypergraph, and they form the blocks of certain partial Steiner
Locally_linear_graph
Network whose degree distribution follows a power law
transformation which converts random graphs to their edge-dual graphs (or line graphs) produces an ensemble of graphs with nearly the same degree distribution
Scale-free_network
dissertation. The Gewirtz graph can be constructed as follows. Consider the unique S(3, 6, 22) Steiner system, with 22 elements and 77 blocks. Choose an arbitrary
Gewirtz_graph
Community development block in West Bengal, India
Habibpur is a community development block that forms an administrative division in Malda Sadar subdivision of Malda district in the Indian state of West
Habibpur (community development block)
Habibpur_(community_development_block)
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
Community development block in West Bengal, India
Bamangola is a community development block that forms an administrative division in Malda Sadar subdivision of Malda district in the Indian state of West
Bamangola (community development block)
Bamangola_(community_development_block)
Method of generating random small-world graphs
The Watts–Strogatz model is a random graph generation model that produces graphs with small-world properties, including short average path lengths and
Watts–Strogatz_model
Longest distance between tree vertices
In graph theory, the triameter is a metric invariant that generalizes the concept of a graph's diameter. It is defined as the maximum sum of pairwise
Triameter_(graph_theory)
Dataflow-based graph execution model.
predicated instructions. The dataflow graph is encoded using these blocks, by specifying the flow of data from one block of instructions to another, or to
Explicit_data_graph_execution
Unsolved problem in computational complexity theory
computer science Can the graph isomorphism problem be solved in polynomial time? More unsolved problems in computer science The graph isomorphism problem is
Graph_isomorphism_problem
Community development block in West Bengal, India
Baduria is a community development block that forms an administrative division in Basirhat subdivision of North 24 Parganas district in the Indian state
Baduria (community development block)
Baduria_(community_development_block)
Problem on triangles in graph theory
infinitely many graphs for which τ ( G ) = 2 ν ( G ) {\displaystyle \tau (G)=2\nu (G)} , including all of the block graphs whose blocks are cliques of
Tuza's_conjecture
Generalization of dominating sets using fractional weights
_{f}(W_{n})=1} Several graph classes have γ f ( G ) = γ ( G ) {\displaystyle \gamma _{f}(G)=\gamma (G)} : Trees Block graphs (graphs where every block is complete)
Fractional_dominating_set
Community development block in West Bengal, India
Bagdah (also spelled Bagda) is a community development block that forms an administrative division in Bangaon subdivision of North 24 Parganas district
Bagdah (community development block)
Bagdah_(community_development_block)
Mathematical theory on behavior of connected clusters in a random graph
bottom? Similarly, one can ask, given a connected graph at what fraction 1 – p of failures the graph will become disconnected (no large component). The
Percolation_theory
Directed graph used for deadlock detection
algorithm makes use of a wait-for graph to track which other processes a process is currently blocking on. In a wait-for graph, processes are represented as
Wait-for_graph
Community development block in West Bengal, India
English Bazar is a community development block that forms an administrative division in Malda Sadar subdivision of Malda district in the Indian state
English Bazar (community development block)
English_Bazar_(community_development_block)
Bipartite graph in coding theory
Tanner graph is a bipartite graph that can be used to express constraints (typically equations) that specify an error correcting code. Tanner graphs play
Tanner_graph
Community development block in West Bengal, India
Rajarhat is a community development block that forms an administrative division in Bidhannagar subdivision of North 24 Parganas district in the Indian
Rajarhat (community development block)
Rajarhat_(community_development_block)
Study of graphs defined by geometric means
Geometric graph theory in the broader sense is a large and amorphous subfield of graph theory, concerned with graphs defined by geometric means. In a stricter
Geometric_graph_theory
Compiler optimization technique
dependency graph is a directed acyclic graph. Then, any topological sort of this graph is a valid instruction schedule. The edges of the graph are usually
Instruction_scheduling
Measure of the structural complexity of a software program
look at its control-flow graph, a directed graph containing the basic blocks of the program, with an edge between two basic blocks if control may pass from
Cyclomatic_complexity
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
Software feature removing online advertising in a web browser or application
Ad blocking (or ad filtering) is a software capability for blocking or altering online advertising in a web browser, an application or a network. This
Ad_blocking
Academic field
foundation of graph theory, a branch of mathematics that studies the properties of pairwise relations in a network structure. The field of graph theory continued
Network_science
Mathematical sequence
"An Extension of the Prüfer Code and Assembly of Connected Graphs from Their Blocks". Graphs and Combinatorics. 19 (2): 231–239. doi:10.1007/s00373-002-0499-3
Prüfer_sequence
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
When every path in a control-flow graph must go through one node to reach another
In computer science, a node d of a control-flow graph dominates a node n if every path from the entry node to n must go through d. Notationally, this
Dominator_(graph_theory)
Concept in graph theory
In graph theory, a vertex is incident with an edge if the vertex is one of the two vertices the edge connects. An incidence is a pair ( u , e ) {\displaystyle
Incidence_(graph)
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
Dimensionality reduction of graph-based semantic data objects [machine learning task]
In representation learning, knowledge graph embedding (KGE), also called knowledge representation learning (KRL), or multi-relation learning, is a machine
Knowledge_graph_embedding
Community development block in West Bengal, India
Bangaon (also spelled as Bongaon) is a community development block that forms an administrative division in Bangaon subdivision of North 24 Parganas district
Bangaon (community development block)
Bangaon_(community_development_block)
Community development block in West Bengal, India
Gazole (also spelled Gajol) is a community development block that forms an administrative division in Malda Sadar subdivision of Malda district in the
Gazole (community development block)
Gazole_(community_development_block)
travel, tourism, insurance
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travel, tourism, insurance