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Breadth-first search (BFS) is an algorithm for searching a tree data structure for a node that satisfies a given property. It starts at the tree root and explores all nodes at the present depth prior to moving on to the nodes at the next depth level.
The main steps of BFS traversal in this 2D partitioning algorithm are(for each processor): expand phase (line 13–15): based on local vertices, only send messages to processors in processor-column to tell them these vertices are in the frontier, receive messages from these processors.
By contrast, a breadth-first search will never reach the grandchildren, as it seeks to exhaust the children first. A more sophisticated analysis of running time can be given via infinite ordinal numbers ; for example, the breadth-first search of the depth 2 tree above will take ω ·2 steps: ω for the first level, and then another ω for the ...
The GraphBLAS specification has been in development since 2013, [15] and has reached version 2.1.0 as of December 2023. [16] While formally a specification for the C programming language, a variety of programming languages have been used to develop implementations in the spirit of GraphBLAS, including C++, [17] Java, [18] and Nvidia CUDA.
Natural language processing: Parse trees; Modeling utterances in a generative grammar; Dialogue tree for generating conversations; Document Object Models ("DOM tree") of XML and HTML documents; Search trees store data in a way that makes an efficient search algorithm possible via tree traversal. A binary search tree is a type of binary tree
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A universal traversal sequence is a sequence of instructions comprising a graph traversal for any regular graph with a set number of vertices and for any starting vertex. A probabilistic proof was used by Aleliunas et al. to show that there exists a universal traversal sequence with number of instructions proportional to O ( n 5 ) for any ...