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  2. Breadth-first search - Wikipedia

    en.wikipedia.org/wiki/Breadth-first_search

    Input: A graph G and a starting vertex root of G. Output: Goal state.The parent links trace the shortest path back to root [9]. 1 procedure BFS(G, root) is 2 let Q be a queue 3 label root as explored 4 Q.enqueue(root) 5 while Q is not empty do 6 v := Q.dequeue() 7 if v is the goal then 8 return v 9 for all edges from v to w in G.adjacentEdges(v) do 10 if w is not labeled as explored then 11 ...

  3. Lexicographic breadth-first search - Wikipedia

    en.wikipedia.org/wiki/Lexicographic_breadth...

    The algorithm is called lexicographic breadth-first search because the order it produces is an ordering that could also have been produced by a breadth-first search, and because if the ordering is used to index the rows and columns of an adjacency matrix of a graph then the algorithm sorts the rows and columns into lexicographical order.

  4. Best-first search - Wikipedia

    en.wikipedia.org/wiki/Best-first_search

    Best-first search is a class of search algorithms which explores a graph by expanding the most promising node chosen according to a specified rule.. Judea Pearl described best-first search as estimating the promise of node n by a "heuristic evaluation function () which, in general, may depend on the description of n, the description of the goal, the information gathered by the search up to ...

  5. Parallel breadth-first search - Wikipedia

    en.wikipedia.org/wiki/Parallel_breadth-first_search

    There are C columns and R·C block rows after this division. For each processor, they are in charge of C blocks, namely the processor (i,j) stores A i,j (1) to A i,j (C) blocks. The conventional 1D partitioning is equivalent to the 2D partitioning with R=1 or C=1.

  6. Beam search - Wikipedia

    en.wikipedia.org/wiki/Beam_search

    Beam search uses breadth-first search to build its search tree. At each level of the tree, it generates all successors of the states at the current level, sorting them in increasing order of heuristic cost. [2] However, it only stores a predetermined number, , of best states at each level (called the beam width). Only those states are expanded ...

  7. Graph traversal - Wikipedia

    en.wikipedia.org/wiki/Graph_traversal

    A breadth-first search (BFS) is another technique for traversing a finite graph. BFS visits the sibling vertices before visiting the child vertices, and a queue is used in the search process. This algorithm is often used to find the shortest path from one vertex to another.

  8. k shortest path routing - Wikipedia

    en.wikipedia.org/wiki/K_shortest_path_routing

    The breadth-first search algorithm is used when the search is only limited to two operations. The Floyd–Warshall algorithm solves all pairs shortest paths. Johnson's algorithm solves all pairs' shortest paths, and may be faster than Floyd–Warshall on sparse graphs. Perturbation theory finds (at worst) the locally shortest path.

  9. Numerical Recipes - Wikipedia

    en.wikipedia.org/wiki/Numerical_Recipes

    Recognizing that their Numerical Recipes books were increasingly valued more for their explanatory text than for their code examples, the authors significantly expanded the scope of the book, and significantly rewrote a large part of the text. They continued to include code, still printed in the book, now in C++, for every method discussed. [5]