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Analogous to the definition of dominance above, a node z is said to post-dominate a node n if all paths to the exit node of the graph starting at n must go through z. Similarly, the immediate post-dominator of a node n is the postdominator of n that doesn't strictly postdominate any other strict postdominators of n.
Similarly, there is a notion of immediate postdominator, analogous to immediate dominator. The dominator tree is an ancillary data structure depicting the dominator relationships. There is an arc from Block M to Block N if M is an immediate dominator of N. This graph is a tree, since each block has a unique immediate dominator.
There are graph families in which γ(G) = i(G), that is, every minimum maximal independent set is a minimum dominating set. For example, γ(G) = i(G) if G is a claw-free graph. [6] A graph G is called a domination-perfect graph if γ(H) = i(H) in every induced subgraph H of G. Since an induced subgraph of a claw-free graph is claw-free, it ...
A node which transfers control to a node A is called an immediate predecessor of A. The dominance frontier of node A is the set of nodes B where A does not strictly dominate B, but does dominate some immediate predecessor of B. These are the points at which multiple control paths merge back together into a single path.
Control dependences are essentially the dominance frontier in the reverse graph of the control-flow graph (CFG). [1] Thus, one way of constructing them, would be to construct the post-dominance frontier of the CFG, and then reversing it to obtain a control dependence graph. The following is a pseudo-code for constructing the post-dominance ...
It is given that idom(n) is the immediate dominator of node n. but if a node has two predecessors (dominator) what will be the idom (n)? —Preceding unsigned comment added by Rudk (talk • contribs) 05:26, 27 March 2009 (UTC) In a flow graph, a node n dominates a node m if every path from the graph's entry node to m must pass through n.
In this same graph, the maximal cliques are the sets {a, b} and {b, c}. A MIS is also a dominating set in the graph, and every dominating set that is independent must be maximal independent, so MISs are also called independent dominating sets. The top two P 3 graphs are maximal independent sets while the bottom two are independent sets, but not ...
Control charts are graphical plots used in production control to determine whether quality and manufacturing processes are being controlled under stable conditions. (ISO 7870-1) [1] The hourly status is arranged on the graph, and the occurrence of abnormalities is judged based on the presence of data that differs from the conventional trend or deviates from the control limit line.