In graph theory, the modular decomposition is a decomposition of a graph into subsets of vertices called modules. A module is a generalization of a connected...

module or modular in Wiktionary, the free dictionary. Module, modular and modularity may refer to the concept of modularity. They may also refer to: Modular design...

by decomposition into smaller pieces, and all originating around the 1960s. While the historical usage of these terms has been inconsistent, "modular programming"...

Modular decomposition can be used to compute a power graph by using the strong modules of the modular decomposition. Modules in modular decomposition...

Modular design, or modularity in design, is a design principle that subdivides a system into smaller parts called modules (such as modular process skids)...

Modular representation theory is a branch of mathematics, and is the part of representation theory that studies linear representations of finite groups...

recursive decomposition into modules, its modular decomposition, which can be constructed from the graph in linear time; modular decomposition algorithms...

to shortest paths between all pairs of the triple. 2.  Modular decomposition, a decomposition of a graph into subgraphs within which all vertices connect...

consistently. Clique (graph theory) Connected component (graph theory) Modular decomposition Weak component Nuutila, Esko; Soisalon-Soininen, Eljas (1994), "On...

Modularity is the degree to which a system's components may be separated and recombined, often with the benefit of flexibility and variety in use. The...

behavior-based robotics (BBR), a methodology for developing AI based on a modular decomposition of intelligence. It was made famous by Rodney Brooks: his subsumption...

inference, hierarchical clustering, and quadtree decomposition are all examples of function decomposition. Many statistical inference methods can be thought...

(up to permutation symmetry) if it is prime with respect to the modular decomposition. If ρ = ( σ 1 , σ 2 , . . . , σ n ) {\displaystyle \rho =(\sigma...

maintain. Different types of decomposition are defined in computer sciences: In structured programming, algorithmic decomposition breaks a process down into...

cotree representation constructed, using modular decomposition, partition refinement, LexBFS , or split decomposition. Once a cotree representation has been...

strong perfect graph theorem. A homogeneous pair is related to a modular decomposition of a graph. It is a partition of the graph into three subsets V1...

Modularity of mind is the notion that a mind may, at least in part, be composed of innate neural structures or mental modules which have distinct, established...

a maximum weight independent set can be found in linear time. Modular decomposition is a good tool for solving the maximum weight independent set problem;...

In mathematics, and in particular modular representation theory, a decomposition matrix is a matrix that results from writing the irreducible ordinary...

involving the separation of covalent bonds in organic matter by thermal decomposition within an inert environment without oxygen. The word pyrolysis is coined...

Tomita–Takesaki theory is a method for constructing modular automorphisms of von Neumann algebras from the polar decomposition of a certain involution. It is essential...

Springer-Verlag, New York, 2005 R. McConnell and J. Spinrad, Linear-time modular decomposition and efficient transitive orientation of undirected graphs, Proc...

methanol); and to produce hydrogen and oxygen by decomposing water thermochemically. The PBMR is modular in that only small to mid-sized units will be designed...

complementary representation). The decomposition of a semisimple representation into simple ones, called a semisimple decomposition, need not be unique; for example...

shortened by replacing the usual triangular decomposition of the Monster Lie algebra with a decomposition into a sum of gl2 and two free Lie algebras...

particular kind of modular form with a zero constant coefficient in the Fourier series expansion. A cusp form is distinguished in the case of modular forms for...

problems in computer science In mathematics, integer factorization is the decomposition of a positive integer into a product of integers. Every positive integer...

In abstract algebra, a decomposition of a module is a way to write a module as a direct sum of modules. A type of a decomposition is often used to define...

pounds avoirdupois QR decomposition, a decomposition of a matrix QR algorithm, an eigenvalue algorithm to perform QR decomposition Quadratic reciprocity...

and any graph that can be obtained from these and the cographs by modular decomposition. As of 2024, however, the full conjecture has not been proven, and...