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  2. Tree decomposition - Wikipedia

    en.wikipedia.org/wiki/Tree_decomposition

    The tree decomposition of a graph is far from unique; for example, a trivial tree decomposition contains all vertices of the graph in its single root node. A tree decomposition in which the underlying tree is a path graph is called a path decomposition, and the width parameter derived from these special types of tree decompositions is known as ...

  3. Decision tree - Wikipedia

    en.wikipedia.org/wiki/Decision_tree

    The left tree is the decision tree we obtain from using information gain to split the nodes and the right tree is what we obtain from using the phi function to split the nodes. The resulting tree from using information gain to split the nodes. Now assume the classification results from both trees are given using a confusion matrix.

  4. Level ancestor problem - Wikipedia

    en.wikipedia.org/wiki/Level_ancestor_problem

    The simplest way to find a level ancestor of a node is to climb up the tree towards the root of the tree. On the path to the root of the tree, every ancestor of a node can be visited and therefore reported. In this case, the tree does not need to be preprocessed and the time to answer a query is O(h), where "h" is the height of the tree. This ...

  5. Treewidth - Wikipedia

    en.wikipedia.org/wiki/Treewidth

    The width of a tree decomposition is the size of its largest set X i minus one. The treewidth tw(G) of a graph G is the minimum width among all possible tree decompositions of G. In this definition, the size of the largest set is diminished by one in order to make the treewidth of a tree equal to one.

  6. Constraint satisfaction dual problem - Wikipedia

    en.wikipedia.org/wiki/Constraint_satisfaction...

    Decomposition methods directly associate a tree with problems; the nodes of this tree are associated variables and/or constraints of the original problem. By merging constraints based on this tree, one can produce a problem that has a join tree, and this join tree can be easily derived from the decomposition tree.

  7. Simulation decomposition - Wikipedia

    en.wikipedia.org/wiki/Simulation_decomposition

    SimDec, or Simulation decomposition, is a hybrid uncertainty and sensitivity analysis method, for visually examining the relationships between the output and input variables of a computational model. SimDec maps multivariable scenarios onto the distribution of the model output. [ 1 ]

  8. SPQR tree - Wikipedia

    en.wikipedia.org/wiki/SPQR_tree

    An SPQR tree is a tree data structure used in computer science, and more specifically graph algorithms, to represent the triconnected components of a graph. The SPQR tree of a graph may be constructed in linear time [ 1 ] and has several applications in dynamic graph algorithms and graph drawing .

  9. Branch-decomposition - Wikipedia

    en.wikipedia.org/wiki/Branch-decomposition

    Branch decomposition of a grid graph, showing an e-separation.The separation, the decomposition, and the graph all have width three. In graph theory, a branch-decomposition of an undirected graph G is a hierarchical clustering of the edges of G, represented by an unrooted binary tree T with the edges of G as its leaves.