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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 points) interconnected by directed branches, representing a set of linear algebraic equations. The nodes in a flow graph are used to represent the variables, or parameters, and the connecting branches represent the coefficients relating these variables to one another. The flow graph is associated with a number of simple rules which enable every possible solution [related to the equations] to be obtained."

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  • Diagrama de flujo (matemáticas) (es)
  • Flow graph (mathematics) (en)
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  • 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 points) interconnected by directed branches, representing a set of linear algebraic equations. The nodes in a flow graph are used to represent the variables, or parameters, and the connecting branches represent the coefficients relating these variables to one another. The flow graph is associated with a number of simple rules which enable every possible solution [related to the equations] to be obtained." (en)
  • Un diagrama de flujo es una forma de dígrafo asociado con un conjunto de ecuaciones lineales algebraicas o diferenciales:​​ "Un gráfico de flujo de señales es una red de nodos (o puntos) interconectados por ramas dirigidas, que representan un conjunto de ecuaciones algebraicas lineales. Los nodos en un diagrama de flujo se utilizan para representar las variables o parámetros, y las ramas conectadas representan los coeficientes que relacionan estas variables entre sí. El diagrama de flujo está asociado con una serie de reglas simples que permiten obtener todas las posibles soluciones [relacionadas con las ecuaciones]".​ (es)
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  • http://commons.wikimedia.org/wiki/Special:FilePath/Signal_flow_graph_example.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Flow_graph_for_three_linear_equations.png
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  • 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 points) interconnected by directed branches, representing a set of linear algebraic equations. The nodes in a flow graph are used to represent the variables, or parameters, and the connecting branches represent the coefficients relating these variables to one another. The flow graph is associated with a number of simple rules which enable every possible solution [related to the equations] to be obtained." Although this definition uses the terms "signal-flow graph" and "flow graph" interchangeably, the term "signal-flow graph" is most often used to designate the Mason signal-flow graph, Mason being the originator of this terminology in his work on electrical networks. Likewise, some authors use the term "flow graph" to refer strictly to the Coates flow graph. According to Henley & Williams: "The nomenclature is far from standardized, and...no standardization can be expected in the foreseeable future." A designation "flow graph" that includes both the Mason graph and the Coates graph, and a variety of other forms of such graphs appears useful, and agrees with Abrahams and Coverley's and with Henley and Williams' approach. A directed network – also known as a flow network – is a particular type of flow graph. A network is a graph with real numbers associated with each of its edges, and if the graph is a digraph, the result is a directed network. A flow graph is more general than a directed network, in that the edges may be associated with gains, branch gains or transmittances, or even functions of the Laplace operator s, in which case they are called transfer functions. There is a close relationship between graphs and matrices and between digraphs and matrices. "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. (en)
  • Un diagrama de flujo es una forma de dígrafo asociado con un conjunto de ecuaciones lineales algebraicas o diferenciales:​​ "Un gráfico de flujo de señales es una red de nodos (o puntos) interconectados por ramas dirigidas, que representan un conjunto de ecuaciones algebraicas lineales. Los nodos en un diagrama de flujo se utilizan para representar las variables o parámetros, y las ramas conectadas representan los coeficientes que relacionan estas variables entre sí. El diagrama de flujo está asociado con una serie de reglas simples que permiten obtener todas las posibles soluciones [relacionadas con las ecuaciones]".​ Aunque esta definición usa los términos "gráfico de flujo de señal" y "gráfico de flujo" indistintamente, el término "gráfico de flujo de señal" se usa con mayor frecuencia para designar el gráfico de flujo de señal de Mason, siendo Mason el creador de esta terminología en su trabajo sobre redes eléctricas.​​ Asimismo, algunos autores utilizan el término "diagrama de flujo" para referirse estrictamente al diagrama de flujo de Coates.​​ Según Henley & Williams:​ "La nomenclatura está lejos de estar estandarizada y... no se puede esperar una estandarización en el futuro previsible". Una designación de "gráfico de flujo" que incluye tanto el gráfico de Mason como el gráfico de Coates, y una variedad de otras formas de tales gráficos​ parece útil y concuerda con el enfoque de Abrahams y Coverley y con el de Henley y Williams.​​ Una red dirigida, también conocida como red de flujo, es un tipo particular de diagrama de flujo. Una red es un gráfico con números reales asociados con cada uno de sus bordes, y si el gráfico es un dígrafo, el resultado es una red dirigida.​ Un gráfico de flujo es más general que una red dirigida, en que los bordes pueden estar asociados con las ganancias, ganancias de sucursales o transmitancias, o incluso funciones de la Laplace operador s, en cuyo caso se denominan funciones de transferencia.​ Existe una estrecha relación entre gráficos y matrices y entre dígrafos y matrices.​ "La teoría algebraica de matrices puede aplicarse a la teoría de grafos para obtener resultados de manera elegante" y, a la inversa, los enfoques teóricos de grafos basados en diagramas de flujo se utilizan para la solución de ecuaciones algebraicas lineales.​ (es)
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