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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
Acyclic graph may refer to: Directed acyclic graph, a directed graph without any directed cycles Forest (graph theory), an undirected acyclic graph Polytree
Acyclic_graph
Generalization of graph theory
hypergraph acyclicity, later termed α-acyclicity. This notion of acyclicity is equivalent to the hypergraph being conformal (every clique of the primal graph is
Hypergraph
Data structure representing a finite set of strings
the form of a directed acyclic graph with a single source vertex (a vertex with no incoming edges), in which each edge of the graph is labeled by a letter
Deterministic acyclic finite state automaton
Deterministic_acyclic_finite_state_automaton
Element of graph theory
In graph theory, an acyclic orientation of an undirected graph is an assignment of a direction to each edge (an orientation) that does not form any directed
Acyclic_orientation
Undirected, connected, and acyclic graph
connected acyclic undirected graph. A forest is an undirected graph in which any two vertices are connected by at most one path, or equivalently an acyclic undirected
Tree_(graph_theory)
of a graph is the maximum number of colors in a complete coloring. acyclic 1. A graph is acyclic if it has no cycles. An undirected acyclic graph is the
Glossary_of_graph_theory
Trail in which only the first and last vertices are equal
A graph without cycles is called an acyclic graph. A directed graph without directed cycles is called a directed acyclic graph. A connected graph without
Cycle_(graph_theory)
Edges that hit all cycles in a graph
every cycle in the graph. Removing these edges from the graph breaks all of the cycles, producing an acyclic subgraph of the given graph, often called a
Feedback_arc_set
Graph with oriented edges
digraph. A directed graph is acyclic if it has no directed cycles. The usual name for such a digraph is directed acyclic graph (DAG). Multitrees are DAGs
Directed_graph
Graph drawing with vertices in horizontal layers
construction of a layered graph drawing proceeds in a sequence of steps: If the input graph is not already a directed acyclic graph, a set of edges is identified
Layered_graph_drawing
Topics referred to by the same term
Directed acyclic word graph (DAWG) may refer to two related, but distinct, automata constructions in computer science: Deterministic acyclic finite state
Directed_acyclic_word_graph
File format
which handled only directed acyclic graphs. At its simplest, DOT can be used to describe an undirected graph. An undirected graph shows simple relations between
DOT (graph description language)
DOT_(graph_description_language)
Topics referred to by the same term
A graph without a cycle, especially A directed acyclic graph An acyclic complex is a chain complex all of whose homology groups are zero An acyclic sheaf
Acyclic
Node ordering for directed acyclic graphs
ordering is possible if and only if the graph has no directed cycles, that is, if it is a directed acyclic graph (DAG). Any DAG has at least one topological
Topological_sorting
Assigning directions to the edges of an undirected graph
an orientation that results in a directed acyclic graph. Every graph has an acyclic orientation; all acyclic orientations may be obtained by placing the
Orientation_(graph_theory)
Copy of a directed graph with redundant edges removed
as possible among all graphs with that property. The transitive reduction of a finite directed acyclic graph (a directed graph without directed cycles)
Transitive_reduction
Type of graph in mathematics
specifically in graph theory, a polytree (also called directed tree, oriented tree or singly connected network) is a directed acyclic graph whose underlying
Polytree
The acyclic dependencies principle (ADP) is a software design principle defined by Robert C. Martin that states that "the dependency graph of packages
Acyclic dependencies principle
Acyclic_dependencies_principle
Graph with edges non-crossing and upward
In graph drawing, an upward planar drawing of a directed acyclic graph is an embedding of the graph into the Euclidean plane, in which the edges are represented
Upward_planar_drawing
Partition of a graph whose components are reachable from all vertices
a single vertex, the resulting graph is a directed acyclic graph, the condensation of G. A directed graph is acyclic if and only if it has no strongly
Strongly_connected_component
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
Tree node with two other nodes as descendants
called least common ancestor) of two nodes v and w in a tree or directed acyclic graph (DAG) T is the lowest (i.e. deepest) node that has both v and w as descendants
Lowest_common_ancestor
Data organization and storage formats
Zero-suppressed decision diagram And-inverter graph Directed graph Directed acyclic graph Propositional directed acyclic graph Multigraph Hypergraph Lightmap Winged
List_of_data_structures
Directed graph where every node has exactly one path to it from the root
equivalent characterizations exist. Every arborescence is a directed acyclic graph (DAG), but not every DAG is an arborescence. The term arborescence comes
Arborescence_(graph_theory)
Graphical representation of a computer program or algorithm
components. The strongly-connected components of a CFG form a directed acyclic graph called the SCC tree, where component A has an edge to component B if
Control-flow_graph
A propositional directed acyclic graph (PDAG) is a data structure that is used to represent a Boolean function. A Boolean function can be represented
Propositional directed acyclic graph
Propositional_directed_acyclic_graph
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
Destination of data flow in computing
object or function, while a sink can also refer to a node of a directed acyclic graph with no additional nodes leading out from it, among other uses. An event
Sink_(computing)
Mathematical game
mathematical game played by placing "pebbles" or "markers" on a directed acyclic graph according to certain rules: A given step of the game consists of either
Pebble_game
Vertices connected in pairs by edges
directed acyclic graph (DAG) whose underlying undirected graph is a tree. A polyforest (or directed forest or oriented forest) is a directed acyclic graph whose
Graph_(discrete_mathematics)
Graph that can be embedded in the plane
planar directed acyclic graph is upward planar, and it is NP-complete to test whether a given graph is upward planar. A planar graph is said to be convex
Planar_graph
Problem of finding the longest simple path for a given graph
to approximate. However, it has a linear time solution for directed acyclic graphs, which has important applications in finding the critical path in scheduling
Longest_path_problem
Planar directed acyclic graph
st-planar graph can reach another in constant time per query. Rotating such a drawing by 45° gives an upward planar drawing of the graph. A directed acyclic graph
St-planar_graph
Measurement of graph sparsity
topological ordering of the resulting directed acyclic graph. A k {\displaystyle k} -core of a graph G {\displaystyle G} is a maximal connected subgraph
Degeneracy_(graph_theory)
Software design structured around a node graph
problems many node graphs architectures restrict themselves to a subset of graphs known as directed acyclic graphs. The use of node graph architecture in
Node_graph_architecture
Directed graph representing dependencies
be evaluated first. If a dependency graph does not have any circular dependencies, it forms a directed acyclic graph, and an evaluation order may be found
Dependency_graph
Managing versions of source code or data
resulting graph is no longer a tree, as nodes can have multiple parents, but is instead a rooted directed acyclic graph (DAG). The graph is acyclic since
Version_control
Israeli computer scientist
(PoW) network that uses his Greedy Heaviest Observed Subtree Directed Acyclic Graph (GHOSTDAG) protocol. Sompolinsky graduated from the Hebrew University
Yonatan_Sompolinsky
Graph orientation with one source and sink
that causes the graph to become a directed acyclic graph with a single source s and a single sink t, and an st-numbering of the graph is a topological
Bipolar_orientation
Computational problem in graph theory
flow 1 {\displaystyle 1} in an integral max-flow. Given a directed acyclic graph G = ( V , E ) {\displaystyle G=(V,E)} , we are to find the minimum number
Maximum_flow_problem
Computational problem of graph theory
shortest path problem in time Θ(E + V) in arbitrarily-weighted directed acyclic graphs. The following table is taken from Schrijver (2004), with some corrections
Shortest_path_problem
Directed graph describing citations in documents
This means that an ideal citation graph is not only directed but acyclic; that is, there are no loops in the graph. This is not always the case in practice
Citation_graph
Process of deriving classes from, and organizing them into, a hierarchy
relationships of objects or classes through inheritance give rise to a directed acyclic graph. An inherited class is called a subclass of its parent class or super
Inheritance (object-oriented programming)
Inheritance_(object-oriented_programming)
Area of discrete mathematics
natural language using typed feature structures, which are directed acyclic graphs. Within lexical semantics, especially as applied to computers, modeling
Graph_theory
Graph linking pairs of comparable elements in a partial order
take the directed acyclic graph, apply transitive closure, and remove orientation. Equivalently, a comparability graph is a graph that has a transitive
Comparability_graph
Length of shortest path between two nodes of a graph
on matrices with symmetric sparsity patterns. A tree is a connected, acyclic graph in which there is exactly one simple path between any pair of vertices
Distance_(graph_theory)
Visual depiction of a partially ordered set
automatically using graph drawing techniques. In some sources, the phrase "Hasse diagram" has a different meaning: the directed acyclic graph obtained from
Hasse_diagram
Index of articles associated with the same name
Directed acyclic graph, a directed graph with no cycles Strongly connected graph, a directed graph in which every edge belongs to a cycle Aperiodic graph, a
Cyclic_graph
Pan-genome Graph Construction Methodology
directed acyclic graph (DAG) instead of a linear consensus sequence. In a POA graph, each sequence in the pan-genome is a path through the graph, and aligned
Pan-genome_graph_construction
Algorithm for finding shortest paths
arbitrary directed graphs with unbounded non-negative weights. However, specialized cases (such as bounded/integer weights, directed acyclic graphs etc.) can be
Dijkstra's_algorithm
Mathematical concept
disconnected from each other in the graph. A valid schedule for the disjunctive graph may be obtained by finding an acyclic orientation of the undirected edges
Disjunctive_graph
Probabilistic graphical representation of causal relationships
set of variables and their conditional dependencies via a directed acyclic graph (DAG). While it is one of several forms of causal notation, causal networks
Bayesian_network
American computer technology company
scene geometry representations) and stream out to memory a directed acyclic graph of 3D volumes surrounding the geometry, known as a bounding volume hierarchy
Caustic_Graphics
Experiment using randomness in some aspect, usually to aid in removal of bias
kinds of issues, statisticians or econometricians nowadays use directed acyclic graph.[needs update] A/B testing Allocation concealment Random assignment
Randomized_experiment
Graph formed from disjoint paths
Equivalently, it is an acyclic and claw-free graph. An acyclic graph where every vertex has degree 0, 1, or 2 is a linear forest. An undirected graph has Colin de
Linear_forest
Probabilistic model
f_{AC},f_{AD}} . If the network structure of the model is a directed acyclic graph, the model represents a factorization of the joint probability of all
Graphical_model
Variable that is causally influenced by two or more variables
directed acyclic graphs. Randomization and quasi-experimental research designs are not useful in overcoming collider bias. Causality Causal graphs Confounding
Collider_(statistics)
Reflexive and transitive binary relation
longer has cycles; it is a partial order, and corresponds to a directed acyclic graph. A preorder that is symmetric is an equivalence relation; it can be
Preorder
Order-zero graph or any edgeless graph
it is a directed acyclic graph. And it is both a complete graph and an edgeless graph. However, definitions for each of these graph properties will vary
Null_graph
Tree representation of the abstract syntactic structure of source code
{X}}]_{s}} . Abstract semantic graph (ASG), also called term graph Composite pattern Control-flow graph Directed acyclic graph (DAG) Document Object Model
Abstract_syntax_tree
Measure of similarity between two graphs
between two graphs is related to the string edit distance between strings. With the interpretation of strings as connected, directed acyclic graphs of maximum
Graph_edit_distance
form of a directed acyclic graph. Ancestral graphs can encode conditional independence relations that arise in directed acyclic graph (DAG) models with
Ancestral_graph
Cryptocurrency
(Abbreviation: XNO) is a cryptocurrency characterized by a directed acyclic graph data structure and distributed ledger, making it possible for Nano to
Nano_(cryptocurrency)
2008 science fiction novel by Neal Stephenson
many-worlds interpretation of quantum mechanics based on a directed acyclic graph, which accounts for the various "worldtracks" and "narratives" explored
Anathem
Mathematical set with an ordering
partial order relation ( P , < ) {\displaystyle (P,<)} , a directed acyclic graph (DAG) may be constructed by taking each element of P {\displaystyle
Partially_ordered_set
Subset of artificial intelligence
random variables and their conditional independence with a directed acyclic graph (DAG). For example, a Bayesian network could represent the probabilistic
Machine_learning
Abstract syntax representing expressions as graphs
directed acyclic graphs (DAG), although in some applications graphs containing cycles[clarification needed] may be permitted. For example, a graph containing
Abstract_semantic_graph
Method for accident analysis to determine causal relationships
depict causal relations between factors of an accident. It is a directed acyclic graph, the nodes of which are factors. Directed edges denote cause–effect
Why–because_analysis
Deep learning library
automatic differentiation system, Autograd, that constructs a directed acyclic graph of the operations (and their arguments) executed by a model during its
PyTorch
Chain of software processing elements
fully bi-directional. Flows with one-directional trees and directed acyclic graph topologies behave similarly to linear pipelines. The lack of cycles
Pipeline_(software)
Open source generative artificial intelligence UI
Workflows commonly consist of tens of nodes, forming a complex directed acyclic graph. Node types include loading a model, specifying prompts, samplers, schedulers
ComfyUI
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
Vertices whose removal breaks all cycles
given graph. Instead of vertices, one can consider a feedback edge set - a set of edges in an undirected graph, whose removal makes the graph acyclic. The
Feedback_vertex_set
Database engine
compatibility and compile time errors, it converts the AST to a directed acyclic graph (DAG). The DAG divides operators to MapReduce stages and tasks based
Apache_Hive
Open-source distributed stream processing
"topology" in the shape of a directed acyclic graph (DAG) with spouts and bolts acting as the graph vertices. Edges on the graph are named streams and direct data
Apache_Storm
to ensure that the deficit is zero on each incoming edge. Since the graph is acyclic, some nodes will have no outgoing edges and these nodes will be the
Dijkstra–Scholten_algorithm
Deterministic finite automaton accepting set of all suffixes of particular string
automaton of a string S {\displaystyle S} is the smallest directed acyclic graph with a dedicated initial vertex and a set of "final" vertices, such
Suffix_automaton
Chart representing family relationships
are no loops. In this regard, ancestry forms a directed acyclic graph. Nevertheless, graphs depicting matrilineal descent (mother-daughter relationships)
Family_tree
Unsolved problem in computational complexity theory
are GI-complete: connected graphs graphs of diameter 2 and radius 1 directed acyclic graphs regular graphs bipartite graphs without non-trivial strongly
Graph_isomorphism_problem
Concept in natural language processing
ordered in a partially ordered set and represented as nodes of a directed acyclic graph (e.g., a taxonomy), would be the shortest-path linking the two concept
Semantic_similarity
Free software build automation tool
configuration used by Maven. Gradle uses a directed acyclic graph to provide dependency management. The graph is used to determine the order in which tasks
Gradle
Open-source artificial intelligence ecosystem
graph is a list of nodes that form an acyclic graph. Nodes have inputs and outputs. Each node is a call to an operator. Metadata documents the graph.
Open_Neural_Network_Exchange
Graph where coordinates show reachability
Dominance drawing is a style of graph drawing of directed acyclic graphs that makes the reachability relations between vertices visually apparent. In dominance
Dominance_drawing
Model of computation
{\displaystyle G} is a labelled directed acyclic graph with labels from L {\displaystyle L} . The vertices of the graph are called gates. For each gate g {\displaystyle
Circuit_(computer_science)
Open source game engine
3 was released on 15 August 2024, and added GPU synchronization via acyclic graphs, render pipeline compositor effects, and improved 3D animation retargeting
Godot_(game_engine)
Open-source distributed ledger and cryptocurrency
cryptocurrency designed for the Internet of things (IoT). It uses a directed acyclic graph to store transactions on its ledger, motivated by a potentially higher
IOTA_(technology)
Data synchronised across multiple sites
include linear data structures (blockchains) to more complex directed acyclic graph (DAG) and hybrid data structures. DLT consensus algorithm types include
Distributed_ledger
Organizing code into modules
interacting through well-defined interfaces. Often modules form a directed acyclic graph (DAG); in this case a cyclic dependency between modules is seen as indicating
Modular_programming
Type of computational problem
problem: Given a directed acyclic graph, determine if the graph has a path of length 10. The yes instances are directed acyclic graphs with a path of length
Promise_problem
Study of discrete mathematical structures
as are proofs, which form finite trees or, more generally, directed acyclic graph structures (with each inference step combining one or more premise branches
Discrete_mathematics
Graph coloring in which all 2-chromatic subgraphs are acyclic
In graph theory, an acyclic coloring is a (proper) vertex coloring in which every 2-chromatic subgraph is acyclic. The acyclic chromatic number A(G) of
Acyclic_coloring
Data structure for Boolean functions
and propositional directed acyclic graphs (PDAG). A Boolean function can be represented as a rooted, directed, acyclic graph, which consists of several
Binary_decision_diagram
Non-destructive audio, video, or image editing
effectively an edit decision list (EDL), for video and audio, or a directed acyclic graph for still images, is used to keep track of edits. Each time the edited
Non-linear_editing
Graph with nodes connected in a closed chain
often used, because it can also refer to graphs which are merely not acyclic. Among graph theorists, cycle, polygon, or n-gon are also often used. The term
Cycle_graph
Bruijn graph Dense graph Dipole graph Directed acyclic graph Directed graph Distance regular graph Distance-transitive graph Edge-transitive graph Interval
List_of_graph_theory_topics
Efficient version of non-strict evaluation
directed acyclic graph, allowing sub-expressions to be shared: As for trees, outermost and innermost reduction also applies to graphs. Hence we have graph reduction
Graph_reduction
Mathematical tool
major paths in a citation network, which is one form of a directed acyclic graph (DAG). It has since become an effective technique for mapping technological
Main_path_analysis
Type of graph in mathematics
multitree may describe either of two equivalent structures: a directed acyclic graph (DAG) in which there is at most one directed path between any two vertices
Multitree
Duality of graph colorings and orientations
minimum length always include at least one acyclic orientation. This theorem implies that every orientation of a graph with chromatic number k {\displaystyle
Gallai–Hasse–Roy–Vitaver theorem
Gallai–Hasse–Roy–Vitaver_theorem
ACYCLIC GRAPH
ACYCLIC GRAPH
Boy/Male
Italian Spanish
Enduring. The poet Dante Alighieri wrote The Divine Comedy with its graphic description of...
Boy/Male
Italian Spanish
Enduring. The poet Dante Alighieri wrote The Divine Comedy with its graphic description of...
Boy/Male
Italian Spanish
Enduring. The poet Dante Alighieri wrote The Divine Comedy with its graphic description of...
Boy/Male
Spanish American Italian Latin
Enduring. The poet Dante Alighieri wrote The Divine Comedy with its graphic description of...
Surname or Lastname
German (also Gräff), Dutch, and Jewish (Ashkenazic)
German (also Gräff), Dutch, and Jewish (Ashkenazic) : variant of Graf.English : metonymic occupational name for a clerk or scribe, from Anglo-Norman French grafe ‘quill’, ‘pen’ (a derivative of grafer ‘to write’, Late Latin grafare, from Greek graphein).
ACYCLIC GRAPH
ACYCLIC GRAPH
Girl/Female
Tamil
Padmavathi | பதà¯à®®à®¾à®µà®¤à¯€
Goddess Lakshmi
Boy/Male
Bengali, Indian, Kannada, Tamil
Pleasant
Boy/Male
Hindu
Boy/Male
Tamil
Hitakrit | ஹிதாகà¯à®°à®¿à®¤Â
Well wisher, Well to do
Boy/Male
Tamil
Snow, Investment
Boy/Male
Gujarati, Hindu, Indian, Malayalam, Marathi, Telugu
One with Red Horse; Fire
Girl/Female
Indian
Dignified
Girl/Female
Bengali, Danish, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Sindhi, Tamil, Telugu, Thai
Daughter; The Beautiful Lady; A Young Lady
Boy/Male
Arabic, Muslim
Nickname of Abdullah
Boy/Male
Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Pleasant
ACYCLIC GRAPH
ACYCLIC GRAPH
ACYCLIC GRAPH
ACYCLIC GRAPH
ACYCLIC GRAPH
a.
Alt. of Graphitoidal
a.
Pertaining to, containing, derived from, or resembling, graphite.
n.
Alt. of Graphicalness
a.
Of, pertaining to, or designating, an acid of the acrylic series, obtained by the distillation of terpenylic acid, as an only substance having a peculiar cheesy odor.
a.
Alt. of Encyclical
a.
Pertaining to, or designating, an acid of the acrylic acid series, metameric with crotonic acid, and obtained as a colorless liquid; -- so called from having four carbon atoms in the molecule. Called also isocrotonic acid.
n.
The quality or state of being graphic.
a.
Of or containing acryl, the hypothetical radical of which acrolein is the hydride; as, acrylic acid.
a.
Resembling graphite or plumbago.
a.
Adhering to a fixed circle of legends; cyclic; hence, mean; inferior. See Cyclic poets, under Cyclic.
a.
Pertaining to, or designating, an acid C11H20O2, homologous with acrylic acid, and obtained as a white crystalline substance by the distillation of castor oil.
a.
Alt. of Cyclical
n.
A mean or inferior poet, perhaps from his habit of wandering around as a stroller; an itinerant poet. Also, a name given to the cyclic poets. See under Cyclic, a.
a.
Pertaining to, derived from, or contained in, oil; as, oleic acid, an acid of the acrylic acid series found combined with glyceryl in the form of olein in certain animal and vegetable fats and oils, such as sperm oil, olive oil, etc. At low temperatures the acid is crystalline, but melts to an oily liquid above 14/ C.
n.
See Graphoscope.
a.
Pertaining to, or designating, an isomeric variety of lastic acid that breaks down into acrylic acid and water.
n.
Alt. of Encyclical
a.
Relating to bicycles.
a.
Of, pertaining to, or designating, a complex ketonic acid, C5H6O3, obtained as a white crystalline substance; -- so called because once supposed to contain a peculiar radical of four carbon atoms. Called also acetyl-acrylic acid.
a.
Pertaining to, or derived from, amyl; as, amylic ether.