Dag of control flow graph: различия между версиями

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'''Dag of control flow graph''' — "[[каркас уграфа]]."
'''Dag of control flow graph''' — ''[[каркас уграфа]].''


A '''[[DAG|dag]]''' of a ''cf-graph''<math>\,G</math> with an [[initial node]] <math>\,p</math> is an acyclic cf-graph <math>\,D</math> with the initial node <math>\,p</math> such that <math>\,V(G)=V(D)</math>, <math>\,A(D)\subseteq A(G)</math> and for any arc <math>u\in A(G)\backslash A(D)</math> the [[graph, undirected graph, nonoriented graph|graph]] <math>\,D \bigcup \{u\}</math> has a [[cycle]]. That is, <math>\,D</math> is  a maximal [[acyclic graph|acyclic]] [[subflowgraph]].
A '''[[DAG|dag]]''' of a ''cf-graph''<math>\,G</math> with an [[initial node]] <math>\,p</math> is an acyclic cf-graph <math>\,D</math> with the initial node <math>\,p</math> such that <math>\,V(G)=V(D)</math>, <math>\,A(D)\subseteq A(G)</math> and for any arc <math>u\in A(G)\backslash A(D)</math> the [[graph, undirected graph, nonoriented graph|graph]] <math>\,D \bigcup \{u\}</math> has a [[cycle]]. That is, <math>\,D</math> is  a maximal [[acyclic graph|acyclic]] [[subflowgraph]].

Текущая версия от 13:15, 27 ноября 2024

Dag of control flow graphкаркас уграфа.

A dag of a cf-graph[math]\displaystyle{ \,G }[/math] with an initial node [math]\displaystyle{ \,p }[/math] is an acyclic cf-graph [math]\displaystyle{ \,D }[/math] with the initial node [math]\displaystyle{ \,p }[/math] such that [math]\displaystyle{ \,V(G)=V(D) }[/math], [math]\displaystyle{ \,A(D)\subseteq A(G) }[/math] and for any arc [math]\displaystyle{ u\in A(G)\backslash A(D) }[/math] the graph [math]\displaystyle{ \,D \bigcup \{u\} }[/math] has a cycle. That is, [math]\displaystyle{ \,D }[/math] is a maximal acyclic subflowgraph.

Литература

  • Евстигнеев В.А., Касьянов В.Н. Словарь по графам в информатике. — Новосибирск: Сибирское Научное Издательство, 2009.