Examples of using Binary tree in English and their translations into Russian
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An infinite complete binary tree has isoperimetric dimension∞.
A binary tree gives the best representation at the strategic level Figure 1.
An algorithm based on obtained binary tree is constructed to synthesize logic schema.
Post-order traversal while deleting or freeing nodes andvalues can delete or free an entire binary tree.
An unrooted binary tree is a free tree in which all internal nodes have degree exactly three.
Inverted index Stores a list of occurrences of each atomic search criterion,typically in the form of a hash table or binary tree.
However, unless the tree forms a complete binary tree its Strahler number will be less than this bound.
An unrooted binary tree is a connected undirected graph with no cycles in which each non-leaf node has exactly three neighbors.
The following algorithms are described for a binary tree, but they may be generalized to other trees as well.
For example, binary tree sort creates a binary tree by inserting each element of the n-sized array one by one.
Moreover, it is possible to choose this tree decomposition so that it forms a binary tree, with only two child subtrees per bag.
In a complete binary tree, the bifurcation ratio will be 2, while other trees will have smaller bifurcation ratios.
It commonly appears in the theory of finite differences, and also has been applied in computer science andgraph theory to estimate binary tree lengths.
The infinite complete binary tree T is an infinite tree where one vertex(called the root) has two neighbors and every other vertex has three neighbors.
A theorem on isomorphic mapping of the resource structure of the production system in the binary tree structure of optimal aggregation.
But a perfect binary tree with 2k+ 1 levels has pathwidth k, so in this case the X-minor-free-graphs have unbounded pathwidth.
It is also possible to discover the parent of a node from a threaded binary tree, without explicit use of parent pointers or a stack, although it is slower.
In an n-node binary tree, chosen uniformly at random among all possible binary trees, the expected index of the root is with high probability very close to log4 n.
A branch-decomposition of a matroid is a hierarchical clustering of the matroid elements,represented as an unrooted binary tree with the elements of the matroid at its leaves.
A red-black tree is a special type of binary tree, used in computer science to organize pieces of comparable data, such as text fragments or numbers.
Fencepost error" can, in rare occasions, refer to an error induced by unexpected regularities in input values, which can(for instance)completely thwart a theoretically efficient binary tree or hash function implementation.
The dyadic monoid can be visualized as an infinite binary tree; more generally, if the set S has p elements, then the monoid may be represented as a p-adic tree. .
The virtual method table is generally a good performance trade-off to achieve dynamic dispatch, but there are alternatives,such as binary tree dispatch, with higher performance but different costs.
Unrooted binary trees are also used to define branch-decompositions of graphs, by forming an unrooted binary tree whose leaves represent the edges of the given graph.
By contrast, a breadth-first(level-order) traversal will traverse a binary tree of infinite depth without problem, and indeed will traverse any tree with bounded branching factor.
An unrooted binary tree on n labeled leaves can be formed by connecting the nth leaf to a new node in the middle of any of the edges of an unrooted binary tree on n- 1 labeled leaves.
Conversely, from any maximal non-crossingfamily of sets over a set of n elements, one can form a unique unrooted binary tree that has a node for each triple(A, B, C) of disjoint sets in the family that together cover all of the elements.
A carving decomposition is an unrooted binary tree with each leaf representing a vertex in the original graph, and the width of a cut is the number(or total weight in a weighted graph) of edges that are incident to a vertex in both subtrees.
Changing the root of a tree does not change this number of edge differences, so methods based on parsimony are not capable of determining the location of the tree root and will produce an unrooted tree, often an unrooted binary tree.
Conversely, any full rooted binary tree may be transformed into an unrooted binary tree by removing the root node, replacing the path between its two children by a single undirected edge, and suppressing the orientation of the remaining edges in the graph.