topology.h File Reference


Detailed Description

Topology related algorithms #include <lemon/dfs.h>
#include <lemon/bfs.h>
#include <lemon/graph_utils.h>
#include <lemon/graph_adaptor.h>
#include <lemon/maps.h>
#include <lemon/concepts/graph.h>
#include <lemon/concepts/ugraph.h>
#include <lemon/concept_check.h>
#include <lemon/bin_heap.h>
#include <lemon/bucket_heap.h>
#include <stack>
#include <functional>


Namespaces

namespace  lemon
 The namespace of LEMON.

Functions

template<typename UGraph >
bool connected (const UGraph &graph)
 Check that the given undirected graph is connected.
template<typename UGraph >
int countConnectedComponents (const UGraph &graph)
 Count the number of connected components of an undirected graph.
template<class UGraph , class NodeMap >
int connectedComponents (const UGraph &graph, NodeMap &compMap)
 Find the connected components of an undirected graph.
template<typename Graph >
bool stronglyConnected (const Graph &graph)
 Check that the given directed graph is strongly connected.
template<typename Graph >
int countStronglyConnectedComponents (const Graph &graph)
 Count the strongly connected components of a directed graph.
template<typename Graph , typename NodeMap >
int stronglyConnectedComponents (const Graph &graph, NodeMap &compMap)
 Find the strongly connected components of a directed graph.
template<typename Graph , typename EdgeMap >
int stronglyConnectedCutEdges (const Graph &graph, EdgeMap &cutMap)
 Find the cut edges of the strongly connected components.
template<typename UGraph >
int countBiNodeConnectedComponents (const UGraph &graph)
 Count the biconnected components.
template<typename UGraph >
bool biNodeConnected (const UGraph &graph)
 Checks the graph is bi-node-connected.
template<typename UGraph , typename UEdgeMap >
int biNodeConnectedComponents (const UGraph &graph, UEdgeMap &compMap)
 Find the bi-node-connected components.
template<typename UGraph , typename NodeMap >
int biNodeConnectedCutNodes (const UGraph &graph, NodeMap &cutMap)
 Find the bi-node-connected cut nodes.
template<typename UGraph >
int countBiEdgeConnectedComponents (const UGraph &graph)
 Count the bi-edge-connected components.
template<typename UGraph >
bool biEdgeConnected (const UGraph &graph)
 Checks that the graph is bi-edge-connected.
template<typename UGraph , typename NodeMap >
int biEdgeConnectedComponents (const UGraph &graph, NodeMap &compMap)
 Find the bi-edge-connected components.
template<typename UGraph , typename UEdgeMap >
int biEdgeConnectedCutEdges (const UGraph &graph, UEdgeMap &cutMap)
 Find the bi-edge-connected cut edges.
template<typename Graph , typename NodeMap >
void topologicalSort (const Graph &graph, NodeMap &order)
 Sort the nodes of a DAG into topolgical order.
template<typename Graph , typename NodeMap >
bool checkedTopologicalSort (const Graph &graph, NodeMap &order)
 Sort the nodes of a DAG into topolgical order.
template<typename Graph >
bool dag (const Graph &graph)
 Check that the given directed graph is a DAG.
template<typename UGraph >
bool acyclic (const UGraph &graph)
 Check that the given undirected graph is acyclic.
template<typename UGraph >
bool tree (const UGraph &graph)
 Check that the given undirected graph is tree.
template<typename UGraph >
bool bipartite (const UGraph &graph)
 Check if the given undirected graph is bipartite or not.
template<typename UGraph , typename NodeMap >
bool bipartitePartitions (const UGraph &graph, NodeMap &partMap)
 Check if the given undirected graph is bipartite or not.
template<typename Graph >
bool loopFree (const Graph &graph)
template<typename Graph >
bool parallelFree (const Graph &graph)
template<typename Graph >
bool simpleGraph (const Graph &graph)

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