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About: Moral graph

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In graph theory, a moral graph is used to find the equivalent undirected form of a directed acyclic graph. It is a key step of the junction tree algorithm, used in belief propagation on graphical models. Moralization may also be applied to mixed graphs, called in this context "chain graphs". In a chain graph, a connected component of the undirected subgraph is called a chain. Moralization adds an undirected edge between any two vertices that both have outgoing edges to the same chain, and then forgets the orientation of the directed edges of the graph.

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dbo:abstract
  • La moralisation d'un graphe consiste à passer d'un graphe orienté à un graphe non orienté dont les parents d'un même sommet sont liés par une arête. Certains algorithmes nécessitent en effet de disposer d'un tel graphe. (fr)
  • In graph theory, a moral graph is used to find the equivalent undirected form of a directed acyclic graph. It is a key step of the junction tree algorithm, used in belief propagation on graphical models. The moralized counterpart of a directed acyclic graph is formed by adding edges between all pairs of non-adjacent nodes that have a common child, and then making all edges in the graph undirected. Equivalently, a moral graph of a directed acyclic graph G is an undirected graph in which each node of the original G is now connected to its Markov blanket. The name stems from the fact that, in a moral graph, two nodes that have a common child are required to be married by sharing an edge. Moralization may also be applied to mixed graphs, called in this context "chain graphs". In a chain graph, a connected component of the undirected subgraph is called a chain. Moralization adds an undirected edge between any two vertices that both have outgoing edges to the same chain, and then forgets the orientation of the directed edges of the graph. (en)
  • В теории графов моральный граф используется для поиска эквивалентного неориентированного графа для направленного ациклического графа. Это ключевой шаг алгоритма для дерева сочленений, используемого в алгоритме распространения доверия на графовых вероятностных моделях. (ru)
  • У теорії графів моральний граф використовують для пошуку еквівалентного неорієнтованого графа для спрямовного ациклічного графа. Це ключовий крок , використовуваного в на графових імовірнісних моделях. (uk)
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  • right (en)
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  • A directed acyclic graph (en)
  • The corresponding moral graph, with newly added arcs shown in red (en)
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  • MoralGraph-DAG1.svg (en)
  • Moralized graph1.svg (en)
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  • La moralisation d'un graphe consiste à passer d'un graphe orienté à un graphe non orienté dont les parents d'un même sommet sont liés par une arête. Certains algorithmes nécessitent en effet de disposer d'un tel graphe. (fr)
  • В теории графов моральный граф используется для поиска эквивалентного неориентированного графа для направленного ациклического графа. Это ключевой шаг алгоритма для дерева сочленений, используемого в алгоритме распространения доверия на графовых вероятностных моделях. (ru)
  • У теорії графів моральний граф використовують для пошуку еквівалентного неорієнтованого графа для спрямовного ациклічного графа. Це ключовий крок , використовуваного в на графових імовірнісних моделях. (uk)
  • In graph theory, a moral graph is used to find the equivalent undirected form of a directed acyclic graph. It is a key step of the junction tree algorithm, used in belief propagation on graphical models. Moralization may also be applied to mixed graphs, called in this context "chain graphs". In a chain graph, a connected component of the undirected subgraph is called a chain. Moralization adds an undirected edge between any two vertices that both have outgoing edges to the same chain, and then forgets the orientation of the directed edges of the graph. (en)
rdfs:label
  • Moralisation de graphe (fr)
  • Moral graph (en)
  • Моральный граф (ru)
  • Моральний граф (uk)
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