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Cyclomatic complexity is a software metric used to indicate the complexity of a program. It is a quantitative measure of the number of linearly independent paths through a program's source code. It was developed by Thomas J. McCabe, Sr. in 1976. Cyclomatic complexity is computed using the control-flow graph of the program.
It counts the ears in an ear decomposition of the graph, forms the basis of parameterized complexity on almost-trees, and has been applied in software metrics as part of the definition of cyclomatic complexity of a piece of code. Under the name of cyclomatic number, the concept was introduced by Gustav Kirchhoff. [2] [3]
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 ...
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] Basis path testing guarantees complete branch coverage (all edges of the control-flow graph ), but achieves that without covering all possible paths of the control-flow graph ...
The complexity of an existing program determines the complexity of changing the program. Problem complexity can be divided into two categories: [2] Accidental complexity relates to difficulties a programmer faces due to the software engineering tools. Selecting a better tool set or a higher-level programming language may reduce it.
An early example of algorithm complexity analysis is the running time analysis of the Euclidean algorithm done by Gabriel Lamé in 1844. Before the actual research explicitly devoted to the complexity of algorithmic problems started off, numerous foundations were laid out by various researchers.
The Consumer Electronics Show (CES) in Las Vegas is over, but the year’s biggest tech event has brought us a number of intriguing new offerings that are sure to dominate the industry in the ...
Therefore, the "zero-th" Betti number b 0 (G) equals |C|, which is simply the number of connected components. [3] The first Betti number b 1 (G) equals |E| + |C| - |V|. It is also called the cyclomatic number—a term introduced by Gustav Kirchhoff before Betti's paper. [4] See cyclomatic complexity for an application to software engineering.