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Ashampoo Burning Studio V9.05 Portable 64 Bit \u0e40\u0e27\u0e47\u0e1a\u0e1b\u0e49\u0e2d\u0e21\u0e1a\u0e31\u0e0d\u0e0a\u0e35\u0e2a\u0e4cQ:<\/p>\n
BFS alg that finds shortest path to start from any node<\/p>\n
I have a graph with lets say edges in between nodes. I want to do the search from any node in the graph. For example, I want to find shortest path from node A to node B.
\nI want to use BFS and have the first algorithm that reaches the destination node. I have googled some BFS algorithms but can’t find anything that meets my need. Can someone help me in identifying a proper algorithm and sources.
\nI am using C# and LINQ to read my data from a simple text file format. <\/p>\n
A:<\/p>\n
You can solve this problem by using BFS along with memoization. To the maintain the memoization you should use a Dictionary to store the visited nodes at each node. The size of the dictionary will be at most log(|V|) and it will be much faster.
\nThe best result to reach node B from node A can be stored in a dictionary T from node A to node B, which is O(1).
\nFor those interested in pseudo-code, the algorithm can be implemented by:
\npseudo-code:
\nT’ = { (A,B): initial entry}<\/p>\n
function DFS(A, B, T) {
\n if T[A] == undefined {
\n T[A] = B;
\n return;
\n }
\n T[A] = shortPath(A, B, T);
\n return;
\n}<\/p>\n
function shortPath(A, B, T) {
\n for each node U in T {
\n if U!= B {
\n T'[U] = shortPath(A, B, T’ | U);
\n } else {
\n return U;
\n }
\n }
\n}<\/p>\n
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