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Graphical representation of a computer program or algorithm
In computer science, a control-flow graph (CFG) is a representation, using graph notation, of all paths that might be traversed through a function during
Control-flow_graph
Topics referred to by the same term
dictionary. Flow graph may refer to: Flow or rooted graph (graph theory), a graph in which a vertex has been distinguished as the root Control-flow graph (computer
Flow_graph
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 Jefferson Mason who coined the term
Signal-flow_graph
Directed graph where edges have a capacity
In graph theory, a flow network (also known as a transportation network) is a directed graph where each edge has a capacity and each edge receives a flow
Flow_network
Method of analyzing variables in software
optimizations and program verification techniques. A program's control-flow graph (CFG) is used to determine those parts of a program to which a particular
Data-flow_analysis
Graph with oriented edges
In mathematics, and more specifically in graph theory, a directed graph (or digraph) is a graph that is made up of a set of vertices connected by directed
Directed_graph
Type of active circuit electronic filter
form suitable for expression as a signal-flow graph. Draw the signal-flow graph. The nodes of the signal-flow graph will include both voltages and currents
Leapfrog_filter
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 is
Dominator_(graph_theory)
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
Cyclomatic_complexity
A flow graph is a form of digraph associated with a set of linear algebraic or differential equations: "A signal flow graph is a network of nodes (or
Flow_graph_(mathematics)
Representation of a computer program
property graph (CPG) is a computer program representation that captures syntactic structure, control flow, and data dependencies in a property graph. The
Code_property_graph
Diagram that represents a workflow or process
process flow diagram, work flow diagram, business flow diagram. The terms "flowchart" and "flow chart" are used interchangeably. The underlying graph structure
Flowchart
Programming paradigm based on asynchronous data streams
data flows can change during the execution of a program. The use of data switches in the data flow graph could to some extent make a static data flow graph
Reactive_programming
Method in electronic engineering
(MGF) is a method for finding the transfer function of a linear signal-flow graph (SFG). The formula was derived by Samuel Jefferson Mason, for whom it
Mason's_gain_formula
Property of an intermediate representation in a compiler
variable reaching that point. For example, consider the following control-flow graph: Changing the name on the left hand side of "x ← {\displaystyle \leftarrow
Static_single-assignment_form
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
t ∈ V {\displaystyle t\in V} . Flow, f : E → R+, is a positive quantity associated with each edge in the graph. Flow is constrained by the weight of
Cederbaum's maximum flow theorem
Cederbaum's_maximum_flow_theorem
application) as pointed graphs or flow graphs. In some of the applications of these graphs, there is an additional requirement that the whole graph be reachable
Rooted_graph
Concept in graph theory
In graph theory, a nowhere-zero flow or NZ flow is a network flow that is nowhere zero. It is intimately connected (by duality) to coloring planar graphs
Nowhere-zero_flow
Path of execution between decisions
DD-path, is a path of execution (usually through a flow graph representing a program, such as a flow chart) between two decisions. More recent versions
Decision-to-decision_path
Algorithm in mathematical optimization
final maximum flow network graph. mxFlow <- pmax(flow, 0) print(list("Residual network graph" = rGraph)) print(list("Maximum flow" = mxFlow)) Lecture Notes
Push–relabel maximum flow algorithm
Push–relabel_maximum_flow_algorithm
Basic concept of graph theory
theory of network flow problems. The connectivity of a graph is an important measure of its resilience as a network. In an undirected graph G, two vertices
Connectivity_(graph_theory)
command for generating a C-language flow graph. The GNU implementation reads C source code files, and generates a flow graph of external references. It uses
Cflow
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
noncommutative signal-flow graph is a tool for modeling interconnected systems and state machines by mapping the edges of a directed graph to a ring or semiring
Noncommutative signal-flow graph
Noncommutative_signal-flow_graph
Computational problem in graph theory
maximum flow problems involve finding a feasible flow through a flow network that obtains the maximum possible flow rate. The maximum flow problem can
Maximum_flow_problem
Chart of the interactions in a system
form of rap notation known as "flow diagram" Sankey diagram, where line width represents magnitude Signal-flow graph, in mathematics, a graphical means
Flow_diagram
structured programming and the development of flow-graph theory in the 1970s. In a control-flow graph (CFG), a SESE region is typically defined as a
Single-entry_single-exit
Computation process in mathematical algorithms
bits in the large array. Mathematical diagram Zassenhaus lemma Signal-flow graph Alan V. Oppenheim, Ronald W. Schafer, and John R. Buck, Discrete-Time
Butterfly_diagram
Process of analyzing computer program behavior
execute. This information is commonly represented by a control-flow graph (CFG), a directed graph whose nodes represent basic blocks or other program points
Program_analysis
On bipartite matching and vertex cover
In the mathematical area of graph theory, Kőnig's theorem, proved by Dénes Kőnig (1931), describes an equivalence between the maximum matching problem
Kőnig's theorem (graph theory)
Kőnig's_theorem_(graph_theory)
3-regular graph with no 3-edge-coloring
various important and difficult problems in graph theory (such as the cycle double cover conjecture and the 5-flow conjecture), one encounters an interesting
Snark_(graph_theory)
Computer compiler optimization technique
allocation process is thought to be fast, because the management of control-flow graph merge points in register allocation reveals itself[clarification needed]
Register_allocation
Theorem about a certain class of control-flow graphs
generally called the Böhm–Jacopini theorem, states that a class of control-flow graphs (historically called flowcharts in this context) can compute any computable
Structured_program_theorem
Representation of a program
of nodes is a graph representation of single-static assignment (SSA) representation of a program that combines data flow and control flow, and relaxes
Sea_of_nodes
Compiler technique
control flow of a program. The control flow is expressed as a control-flow graph (CFG). For both functional programming languages and object-oriented programming
Control-flow_analysis
Method to control electric motors
the drive-motor circuit involved along the lines of accompanying signal flow graph and equations. Induction motor model equations τ σ ′ d i s d τ + i s =
Field-oriented_control
Models signal dispersion by representing the radio propagation environment by a graph
Propagation graphs are a mathematical modelling method for radio propagation channels. A propagation graph is a signal flow graph in which vertices represent
Propagation_graph
Code sequence with no branches except at entry and exit
analysis process. 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
Basic_block
Numerical measure of program structure
essential complexity as the cyclomatic complexity of the reduced CFG (control-flow graph) after iteratively replacing (reducing) all structured programming control
Essential_complexity
Set of edges without common vertices
largest matching in a bipartite graph can be treated as a network flow problem. Finding a largest matching in a general graph is much more difficult; it can
Matching_(graph_theory)
American mathematician (1916–2001)
modulation and the first wearable computer. He also invented the signal-flow graph. Shannon joined the Central Intelligence Agency's Special Cryptologic
Claude_Shannon
Business process modeling tool
through the DEEC were recorded. Data-flow diagram Data and information visualization Control-flow graph DRAKON Flow process chart This article incorporates
Control-flow_diagram
Equivalence of optimization problems
cut-set of C are removed, then no positive flow is possible, because there is no path in the resulting graph from the source to the sink. The capacity
Max-flow_min-cut_theorem
Analysis of computer programs without executing them
abstract system can be mapped to a true property of the original system). Data-flow analysis, a lattice-based technique for gathering information about the possible
Static_program_analysis
Mathematical graph for solving linear systems
In mathematics, the Coates graph or Coates flow graph, named after C.L. Coates, is a graph associated with the Coates' method for the solution of a system
Coates_graph
Open source generative artificial intelligence UI
loader" or "CLIP Text Encode". The nodes are connected to form a control-flow graph called a workflow. When a prompt is queued, a highlighted frame appears
ComfyUI
Graph data structure
In computer science, an e-graph is a data structure that stores an equivalence relation over terms of some language. Let Σ {\displaystyle \Sigma } be
E-graph
Second order recursive digital linear filter
a_{1}} , a 2 {\displaystyle a_{2}} determine the position of the poles. Flow graph of a biquad filter in direct form 1: When these sections are cascaded
Digital_biquad_filter
Multimedia framework
The Network-Integrated Multimedia Middleware (NMM) is a flow graph based multimedia framework. NMM allows creating distributed multimedia applications:
Network-Integrated Multimedia Middleware
Network-Integrated_Multimedia_Middleware
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
Algorithm for computing the maximal flow of a network
augmenting paths. The introduction of the concepts of the level graph and blocking flow enable Dinic's algorithm to achieve its performance. Dinitz invented
Dinic's_algorithm
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
Optimization technique
graph (e.g. normalized cuts), the term "graph cuts" is applied specifically to those models which employ a max-flow/min-cut optimization (other graph
Graph cuts in computer vision and artificial intelligence
Graph_cuts_in_computer_vision_and_artificial_intelligence
Representation of graph notation
make transformations to allow for parallelism. Dependency graph Control-flow graph Data-flow analysis Static program analysis Jeanne Ferrante; Ottenstein
Program_dependence_graph
Methodic assignment of colors to elements of a graph
In graph theory, graph coloring is a methodic assignment of labels traditionally called "colors" to elements of a graph. The assignment is subject to certain
Graph_coloring
box method for designing test cases. The method analyzes the control-flow graph of a program to find a set of linearly independent paths of execution
Basis_path_testing
Mathematical operation in linear algebra
to a field, although the tropical semiring is also a common choice for graph shortest path problems. Even in the case of matrices over fields, the product
Matrix_multiplication
Partition of a graph's nodes into 2 disjoint subsets
is no cut of size 1 because the graph is bridgeless. The max-flow min-cut theorem proves that the maximum network flow and the sum of the cut-edge weights
Cut_(graph_theory)
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
Machine learning methods using multiple input modalities
two-dimensional pixel image, for instance by converting a method's control-flow graph into a black-and-white image processed with a convolutional neural network
Multimodal_learning
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
Graphical representation of a workflow
Description Language Business Process Modeling Notation Control-flow graph Data flow diagram Drakon-chart Event-driven process chain List of UML tools
Activity_diagram
Classical method used to design feedback control systems
bandwidth in the outermost loop. The system is often expressed as a Signal-flow graph and its overall transfer function can be computed from Mason's Gain Formula
Minor_loop_feedback
Flow Diagram
visualization DRAKON Flow diagram Flow process chart Function model Functional block diagram IDEF0 N2 Chart SADT Signal flow Signal-flow graph Systems Engineering
Functional_flow_block_diagram
Type of graph
of networking (see Network flow), because of this property of redundancy. A biconnected undirected graph is a connected graph that is not broken into disconnected
Biconnected_graph
Algorithm to compute the maximum flow in a network
flow in a flow network. It is sometimes called a "method" instead of an "algorithm" as the approach to finding augmenting paths in a residual graph is
Ford–Fulkerson_algorithm
Graphical system analysis method
box Bond graph Data flow diagram Functional flow block diagram One-line diagram Reliability block diagram Schematic diagram Signal-flow graph SEVOCAB:
Block_diagram
Programming statement for branching control based on a value
such as assembly or machine code. Less complex In terms of a control-flow graph, a switch statement consists of two nodes (entrance and exit), plus one
Switch_statement
Model of the real economy
The circular flow of income or circular flow is a model of the economy in which the major exchanges are represented as flows of money, goods and services
Circular_flow_of_income
How software progresses through its implementation
table"); endexit; Control-flow analysis – Compiler technique Control-flow diagram – Business process modeling tool Control-flow graph – Graphical representation
Control_flow
Class of computational problems
combinatorial optimization, network flow problems are a class of computational problems in which the input is a flow network (a graph with numerical capacities
Network_flow_problem
Branch of engineering and mathematics
theoryPages displaying short descriptions of redirect targets Signal-flow graph – Flow graph invented by Claude Shannon Stable polynomial – Characteristic polynomial
Control_theory
Of a function, an additional effect besides returning a value
v t e Program analysis Key concepts Control-flow graph Correctness Hyperproperties Invariants Path explosion Polyvariance Rice's theorem Runtime verification
Side effect (computer science)
Side_effect_(computer_science)
for all control flow graphs. These notes list important works which fueled research on parsing of programs and/or (work)flow graphs (adapted from Section
Program_structure_tree
representing control-flow graph of the program. The use of DOT Files allows for other common tools like GraphViz to be used to produce coverage graphs. Trucov was
Trucov
Computational problem of graph theory
the backward direction. Update the Residual Graph: Update the residual graph based on the augmented flow. Repeat: Repeat steps 2-4 until no more paths
Shortest_path_problem
Type of parallel computing architecture of tightly coupled nodes
use a pre-defined computational flow graph that connects their nodes. Kahn process networks use a similar flow graph, but are distinguished by the nodes
Systolic_array
Computer program for the Boolean satisfiability problem
v t e Program analysis Key concepts Control-flow graph Correctness Hyperproperties Invariants Path explosion Polyvariance Rice's theorem Runtime verification
SAT_solver
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
Metric for source code testing
program been executed? Edge coverage – has every edge in the control-flow graph been executed? Branch coverage – has each branch (also called the DD-path)
Code_coverage
Full immersion in an activity
levels of perceived challenges and perceived skills. The graph illustrates another aspect of flow: it is more likely to occur when the activity is a higher-than-average
Flow_(psychology)
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
American music software company
synthesis. They have also developed algorithms for partitioning a signal flow graph to run on multiple parallel processors and multiple devices in real time
Symbolic_Sound_Corporation
Algebraic encoding of graph connectivity
originally studied in algebraic graph theory as a generalization of counting problems related to graph coloring and nowhere-zero flow, it contains several famous
Tutte_polynomial
Portion of the universe chosen for analysis
Conceptual systems Phase space Physical phenomenon Physical ontology Signal-flow graph Systems engineering Systems science Thermodynamic system Open quantum
Physical_system
Control-flow graph Functional flow block diagram Information flow diagram IDEF N2 chart Sankey diagram State diagram System context diagram Data-flow diagram
List_of_graphical_methods
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
Type of electronic amplifier
computationally efficient as well." Following up on this suggestion, a signal-flow graph for a negative-feedback amplifier is shown in the figure, which is patterned
Negative-feedback_amplifier
Computer science field
algorithms avoid ever explicitly constructing the graph for the FSM; instead, they represent the graph implicitly using a formula in quantified propositional
Model_checking
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
Protected section of code that cannot be executed by more than one process at a time
Flow graph depicting need for critical section
Critical_section
Computer science algorithm
computer science, graph traversal (also known as graph search) refers to the process of visiting (checking and/or updating) each vertex in a graph. Such traversals
Graph_traversal
Class of artificial neural network
Campolucci, Paolo; Uncini, Aurelio; Piazza, Francesco (2000). "A Signal-Flow-Graph Approach to On-line Gradient Calculation". Neural Computation. 12 (8):
Recurrent_neural_network
Official compiler for the Rust programming language
Mid-Level Intermediate Representation (MIR). MIR is a simplified control-flow graph specifically designed to execute the language's borrow checker and run
Rust_compiler
Rules to verify computer program correctness
v t e Program analysis Key concepts Control-flow graph Correctness Hyperproperties Invariants Path explosion Polyvariance Rice's theorem Runtime verification
Hoare_logic
Form taken by the network of interconnections of a circuit
Samuel Jefferson Mason in 1953 introduced signal-flow graphs. Signal-flow graphs are weighted, directed graphs. He used these to analyse circuits containing
Circuit_topology_(electrical)
implicitly passed. Code coverage § Multiple condition coverage Control-flow graph Decision-to-decision path Lee Copeland (2004). A Practitioners Guide to
Elementary_comparison_testing
Topics referred to by the same term
focused Flow, a spacecraft of NASA's GRAIL program Flow network, graph-theoretic version of a mathematical flow Dataflow, a broad concept in computer systems
Flow
Validates computer program operations
Mocci, and Mattia Monga. 2009. Synthesizing intensional behavior models by graph transformation. In Proceedings of the 31st International Conference on Software
Typestate_analysis
travel, tourism, insurance
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travel, tourism, insurance