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An example of a signal-flow graph Flow graph for three simultaneous equations. The edges incident on each node are colored differently just for emphasis. An example of a flow graph connected to some starting equations is presented. The set of equations should be consistent and linearly independent. An example of such a set is: [2]
In computer science, a control-flow graph (CFG) is a representation, using graph notation, of all paths that might be traversed through a program during its execution. The control-flow graph was discovered by Frances E. Allen , [ 1 ] who noted that Reese T. Prosser used boolean connectivity matrices for flow analysis before.
If a (connected) control-flow graph is considered a one-dimensional CW complex called , the fundamental group of will be (). The value of n + 1 {\displaystyle n+1} is the cyclomatic complexity. The fundamental group counts how many loops there are through the graph up to homotopy, aligning as expected.
The method analyzes the control-flow graph of a program to find a set of linearly independent paths of execution. The method normally uses McCabe cyclomatic complexity to determine the number of linearly independent paths and then generates test cases for each path thus obtained. [ 2 ]
A feasible flow, or just a flow, is a pseudo-flow that, for all v ∈ V \{s, t}, satisfies the additional constraint: Flow conservation constraint : The total net flow entering a node v is zero for all nodes in the network except the source s {\displaystyle s} and the sink t {\displaystyle t} , that is: x f ( v ) = 0 for all v ∈ V \{ s , t } .
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 science), a representation of paths through a program during its execution; Flow graph (mathematics), a directed graph linked to a set of linear algebraic or differential equations
A control-flow diagram (CFD) is a diagram to describe the control flow of a business process, process or review. Control-flow diagrams were developed in the 1950s, and are widely used in multiple engineering disciplines.
Essential complexity is a numerical measure defined by Thomas J. McCabe, Sr., in his highly cited, 1976 paper better known for introducing cyclomatic complexity.McCabe defined essential complexity as the cyclomatic complexity of the reduced CFG (control-flow graph) after iteratively replacing (reducing) all structured programming control structures, i.e. those having a single entry point and a ...