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In probability theory, a tree diagram may be used to represent a probability space. A tree diagram may represent a series of independent events (such as a set of coin flips) or conditional probabilities (such as drawing cards from a deck, without replacing the cards). [1] Each node on the diagram represents an event and is associated with the ...
Tree diagram (probability theory), a diagram to represent a probability space in probability theory; Decision tree, a decision support tool that uses a tree-like graph or model of decisions and their possible consequences; Event tree, inductive analytical diagram in which an event is analyzed using Boolean logic; Game tree, a tree diagram used ...
Build the event tree diagram; Obtain event failure probabilities: If the failure probability can not be obtained use fault tree analysis to calculate it. Identify the outcome risk: Calculate the overall probability of the event paths and determine the risk. Evaluate the outcome risk: Evaluate the risk of each path and determine its acceptability.
A reliability block diagram (RBD) is a diagrammatic method for showing how component reliability contributes to the success or failure of a redundant system. RBD is also known as a dependence diagram (DD). A reliability block diagram. An RBD is drawn as a series of blocks connected in parallel or series configuration. Parallel blocks indicate ...
In the first case removal of the vertex splits the tree into subtrees of fewer than n/2 vertices. In the second case, removal of the edge between the two centroidal vertices splits the tree into two subtrees of exactly n/2 vertices. The maximal cliques of a tree are precisely its edges, implying that the class of trees has few cliques.
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A radial tree, or radial map, is a method of displaying a tree structure (e.g., a tree data structure) in a way that expands outwards, radially. It is one of many ways to visually display a tree, [2] [3] with examples dating back to the early 20th century. [4] In use, it is a type of information graphic. Radial vs. triangular tree layout
A depends on B and C; B depends on D. Given a set of objects and a transitive relation with (,) modeling a dependency "a depends on b" ("a needs b evaluated first"), the dependency graph is a graph = (,) with the transitive reduction of R.