Algorithm ɗin Binciken Graph wata babbar dabara ce a fagen sarrafa jadawali da dawo da bayanai. Wannan algorithm yana ba mu damar nemo hanyoyi ko abubuwan haɗin gwiwa a cikin jadawali dangane da takamaiman ƙa'idodi ko algorithms bincike.
Yadda Ake Aiki
- Fara daga takamaiman tsayin daka(ƙumburi) a cikin jadawali.
- Yi tsarin bincike bisa ƙayyadaddun ƙa'idodi, kamar Neman Zurfin-Farko(DFS) ko Bincike na Farko(BFS).
- Mayar da madaidaici da gefuna na jadawali don bincika manufa ko abubuwan da za a samu.
- Yi rikodin hanyar ko sakamakon bincike.
Misali
Yi la'akari da jadawali mai zuwa:
A -- B -- C -- E
| |
D --------
Muna son nemo hanya daga vertex A zuwa vertex E a cikin wannan jadawali ta amfani da Algorithm na Binciken Zurfin Farko(DFS).
- Fara daga vertex A.
- Matsa zuwa sigar B.
- Ci gaba zuwa kishiyar C.
- Babu maƙwabta a cikin C, koma baya zuwa tazarar B.
- Matsa zuwa sigar D.
- Ci gaba zuwa tsaye A(kamar yadda D aka haɗa zuwa A).
- Matsa zuwa sigar B.
- Matsa zuwa sigar C.
- Matsa zuwa ƙwanƙwasa E.
Hanyar daga A zuwa E shine A -> B -> C -> E.
Misali Code a C++
#include <iostream>
#include <vector>
#include <stack>
#include <unordered_map>
class Graph {
public:
void addEdge(char from, char to);
std::vector<char> depthFirstSearch(char start, char end);
private:
std::unordered_map<char, std::vector<char>> adjList;
};
void Graph::addEdge(char from, char to) {
adjList[from].push_back(to);
adjList[to].push_back(from);
}
std::vector<char> Graph::depthFirstSearch(char start, char end) {
std::vector<char> path;
std::unordered_map<char, char> parent;
std::stack<char> stack;
stack.push(start);
parent[start] = '\0';
while(!stack.empty()) {
char current = stack.top();
stack.pop();
if(current == end) {
// Build the path from end to start using the parent map
char node = end;
while(node != '\0') {
path.insert(path.begin(), node);
node = parent[node];
}
break;
}
for(char neighbor: adjList[current]) {
if(parent.find(neighbor) == parent.end()) {
parent[neighbor] = current;
stack.push(neighbor);
}
}
}
return path;
}
int main() {
Graph graph;
graph.addEdge('A', 'B');
graph.addEdge('A', 'D');
graph.addEdge('B', 'C');
graph.addEdge('C', 'E');
graph.addEdge('D', 'B');
char start = 'A';
char end = 'E';
std::vector<char> path = graph.depthFirstSearch(start, end);
std::cout << "Path from " << start << " to " << end << ": ";
for(char node: path) {
std::cout << node << ";
}
std::cout << std::endl;
return 0;
}
A cikin wannan misali, muna amfani da algorithm na DFS don nemo hanya daga vertex A zuwa vertex E a cikin jadawali. Sakamakon zai kasance jeri na madaidaicin kafa hanya daga A zuwa E.