dfs

Depth-First Search

Depth-First Search (DFS) is a strategy for searching in a graph that priotitizes depth.

The algorithm starts at the root node and explores as far as possible along each branch before backtracking. This means it goes deep into a branch and then backtracks when it can go no further. This function returns the nodes in the order they were visited as an array.

Usage

import { depthFirstSearch } from "functional-algos";

const graph = new Map<string, string[]>([
  ["A", ["B", "E"]],
  ["B", ["A", "C"]],
  ["C", ["B", "D"]],
  ["D", ["C"]],
  ["E", ["A"]],
]);

const result = depthFirstSearch(graph, "A");

Examples

Also used in the tests

Using a graph consisting of numbers:

graph TD
  1 <--> 2
  1 <--> 5
  2 <--> 3
  3 <--> 4
  4 <--> End[End]

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Returns [1, 2, 3, 4, 5]

Using a graph consisting of strings:

graph TD
  A <--> B
  A <--> E
  B <--> C
  C <--> D
  D <--> End[End]

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Returns ["A", "B", "C", "D", "E"]