Add decremental maintenance of SCCs frame

This commit is contained in:
stefiosif
2022-05-17 21:25:47 +03:00
parent c2c278784b
commit 89a2a24f50
3 changed files with 74 additions and 0 deletions

19
algorithm/dmscc.h Normal file
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@@ -0,0 +1,19 @@
#ifndef DMSCC_H_
#define DMSCC_H_
#include "graph/graph.h"
using namespace graph;
#include "tarjan.h"
namespace algo {
// A randomized decremental algorithm for maintaining SCCs
template<typename T>
class DMSCC {
public:
DMSCC() = default;
};
}; // namespace algo
#endif

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@@ -20,6 +20,9 @@ public:
// Add edge between v and u // Add edge between v and u
void insert(const T& v, const T& u); void insert(const T& v, const T& u);
// Reverse graph directions
Graph<T> reverse();
// Adjacency matrix representation // Adjacency matrix representation
std::set<T> vertices; std::set<T> vertices;
std::map<T, std::set<T>> adjMatrix; std::map<T, std::set<T>> adjMatrix;
@@ -37,6 +40,11 @@ void Graph<T>::insert(const T& v, const T& u) {
adjMatrix[v].insert(u); adjMatrix[v].insert(u);
} }
template<typename T>
Graph<T> Graph<T>::reverse() {
return Graph<T>();
}
} // namespace graph } // namespace graph
#endif #endif

47
graph/scc.h Normal file
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@@ -0,0 +1,47 @@
#ifndef SCC_H_
#define SCC_H_
#include "graph/graph.h"
namespace graph {
template<typename T>
class SCC {
public:
SCC(std::vector<T> scc);
// Construct shortest path
std::vector<T> SPT();
// Convert SCC into a Graph
Graph<T> convert();
private:
std::vector<T> scc;
// Representative - Root(SPT) of this SCC
T root;
};
template<typename T>
SCC<T>::SCC(std::vector<T> component) {
scc = component;
root = scc[0];
}
template<typename T>
std::vector<T> SCC<T>::SPT() {
// BFS
return std::vector<T>();
}
template<typename T>
Graph<T> SCC<T>::convert() {
return Graph<T>();
}
}; // namespace graph
#endif