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Merge pull request #902 from ayaankhan98/master
Added docs to graph/connected_components.cpp
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@ -1,29 +1,85 @@
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/**
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*
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* \file
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* \brief [Graph Connected Components
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* (Connected Components)]
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* (https://en.wikipedia.org/wiki/Component_(graph_theory))
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*
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* \author [Ayaan Khan](http://github.com/ayaankhan98)
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*
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* \details
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* A graph is a collection of nodes also called vertices and these vertices
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* are connected by edges. A connected component in a graph refers to a set of
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* vertices which are reachable form one another.
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*
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* <pre>
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* Example - Here is graph with 3 connected components
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*
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* 3 9 6 8
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* / \ / / \ / \
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* 2---4 2 7 3 7
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*
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* first second third
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* component component component
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* </pre>
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*
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*/
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#include <algorithm>
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#include <iostream>
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#include <vector>
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using std::vector;
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/**
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* Class for representing graph as a adjacency list.
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*/
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class graph {
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private:
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/** \brief adj stores adjacency list representation of graph */
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vector<vector<int>> adj;
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/** \brief keep track of connected components */
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int connected_components;
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void depth_first_search();
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void explore(int, vector<bool> &);
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public:
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/**
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* \brief Constructor that intiliazes the graph on creation and set
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* the connected components to 0
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*/
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explicit graph(int n) : adj(n, vector<int>()) { connected_components = 0; }
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void addEdge(int, int);
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/**
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* \brief Function the calculates the connected compoents in the graph
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* by performing the depth first search on graph
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*
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* @return connected_components total connected components in graph
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*/
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int getConnectedComponents() {
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depth_first_search();
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return connected_components;
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}
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};
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/**
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* \brief Function that add edge between two nodes or vertices of graph
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*
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* @param u any node or vertex of graph
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* @param v any node or vertex of graph
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*/
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void graph::addEdge(int u, int v) {
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adj[u - 1].push_back(v - 1);
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adj[v - 1].push_back(u - 1);
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}
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/**
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* \brief Function that perfoms depth first search algorithm on graph
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*/
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void graph::depth_first_search() {
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int n = adj.size();
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vector<bool> visited(n, false);
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@ -35,7 +91,13 @@ void graph::depth_first_search() {
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}
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}
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}
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/**
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* \brief Utility function for depth first seach algorithm
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* this function explores the vertex which is passed into.
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*
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* @param u vertex or node to be explored
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* @param visited already visited vertex
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*/
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void graph::explore(int u, vector<bool> &visited) {
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visited[u] = true;
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for (auto v : adj[u]) {
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@ -45,10 +107,16 @@ void graph::explore(int u, vector<bool> &visited) {
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}
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}
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/** Main function */
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int main() {
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/// creating a graph with 4 vertex
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graph g(4);
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/// Adding edges between vertices
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g.addEdge(1, 2);
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g.addEdge(3, 2);
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/// printing the connected components
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std::cout << g.getConnectedComponents();
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return 0;
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}
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