Episode 365 Dominator (graph theory) Thu, 2018-May-03 01:34 UTC Length - 2:16
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With 234,352 views on Wednesday, 2 May 2018 our article of the day is Dominator (graph theory).
In computer science, in control flow graphs, a node d dominates a node n if every path from the entry node to n must go through d. Notationally, this is written as d dom n (or sometimes d
≫
{\displaystyle \gg }
n). By definition, every node dominates itself.
There are a number of related concepts:
A node d strictly dominates a node n if d dominates n and d does not equal n.
The immediate dominator or idom of a node n is the unique node that strictly dominates n but does not strictly dominate any other node that strictly dominates n. Every node, except the entry node, has an immediate dominator.
The dominance frontier of a node d is the set of all nodes n such that d dominates an immediate predecessor of n, but d does not strictly dominate n. It is the set of nodes where d's dominance stops.
A dominator tree is a tree where each node's children are those nodes it immediately dominates. Because the immediate dominator is unique, it is a tree. The start node is the root of the tree.
This recording reflects the Wikipedia text as of 01:34 UTC on Thursday, 3 May 2018.
For the full current version of the article, go to http://en.wikipedia.org/wiki/Dominator_(graph_theory).
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