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  2. Flow graph (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Flow_graph_(mathematics)

    There is a close relationship between graphs and matrices and between digraphs and matrices. [9] "The algebraic theory of matrices can be brought to bear on graph theory to obtain results elegantly", and conversely, graph-theoretic approaches based upon flow graphs are used for the solution of linear algebraic equations. [10]

  3. System context diagram - Wikipedia

    en.wikipedia.org/wiki/System_context_diagram

    The system context diagram is a necessary tool in developing a baseline interaction between systems and actors; actors and a system or systems and systems. Alternatives to the system context diagram are: Example of an Architecture Interconnect Diagram. [7]

  4. Signal-flow graph - Wikipedia

    en.wikipedia.org/wiki/Signal-flow_graph

    A signal-flow graph or signal-flowgraph (SFG), invented by Claude Shannon, [1] but often called a Mason graph after Samuel Jefferson Mason who coined the term, [2] is a specialized flow graph, a directed graph in which nodes represent system variables, and branches (edges, arcs, or arrows) represent functional connections between pairs of nodes.

  5. Elementary diagram - Wikipedia

    en.wikipedia.org/wiki/Elementary_diagram

    In the mathematical field of model theory, the elementary diagram of a structure is the set of all sentences with parameters from the structure that are true in the structure. It is also called the complete diagram .

  6. Knot theory - Wikipedia

    en.wikipedia.org/wiki/Knot_theory

    A reduced diagram is a knot diagram in which there are no reducible crossings (also nugatory or removable crossings), or in which all of the reducible crossings have been removed. [ 3 ] [ 4 ] A petal projection is a type of projection in which, instead of forming double points, all strands of the knot meet at a single crossing point, connected ...

  7. Connectedness - Wikipedia

    en.wikipedia.org/wiki/Connectedness

    This definition is equivalent to the topological one, as applied to graphs, but it is easier to deal with in the context of graph theory. Graph theory also offers a context-free measure of connectedness, called the clustering coefficient. Other fields of mathematics are concerned with objects that are rarely considered as topological spaces.

  8. Pushout (category theory) - Wikipedia

    en.wikipedia.org/wiki/Pushout_(category_theory)

    In category theory, a branch of mathematics, a pushout (also called a fibered coproduct or fibered sum or cocartesian square or amalgamated sum) is the colimit of a diagram consisting of two morphisms f : Z → X and g : Z → Y with a common domain.

  9. Omega network - Wikipedia

    en.wikipedia.org/wiki/Omega_network

    An 8x8 Omega network is a multistage interconnection network, meaning that processing elements (PEs) are connected using multiple stages of switches. Inputs and outputs are given addresses as shown in the figure. The outputs from each stage are connected to the inputs of the next stage using a perfect shuffle connection system. This means that ...