# Function Families¶

All Pairs - Family of Functions

pgr_floydWarshall - Floyd-Warshall’s algorithm.

pgr_johnson - Johnson’s algorithm

pgr_aStar - A* algorithm for the shortest path.

pgr_aStarCost - Get the aggregate cost of the shortest paths.

pgr_aStarCostMatrix - Get the cost matrix of the shortest paths.

Bidirectional A* - Family of functions

pgr_bdAstar - Bidirectional A* algorithm for obtaining paths.

pgr_bdAstarCost - Bidirectional A* algorithm to calculate the cost of the paths.

pgr_bdAstarCostMatrix - Bidirectional A* algorithm to calculate a cost matrix of paths.

Bidirectional Dijkstra - Family of functions

pgr_bdDijkstra - Bidirectional Dijkstra algorithm for the shortest paths.

pgr_bdDijkstraCost - Bidirectional Dijkstra to calculate the cost of the shortest paths

pgr_bdDijkstraCostMatrix - Bidirectional Dijkstra algorithm to create a matrix of costs of the shortest paths.

Components - Family of functions

pgr_connectedComponents - Connected components of an undirected graph.

pgr_strongComponents - Strongly connected components of a directed graph.

pgr_biconnectedComponents - Biconnected components of an undirected graph.

pgr_articulationPoints - Articulation points of an undirected graph.

pgr_bridges - Bridges of an undirected graph.

Contraction - Family of functions

Dijkstra - Family of functions

pgr_dijkstra - Dijkstra’s algorithm for the shortest paths.

pgr_dijkstraCost - Get the aggregate cost of the shortest paths.

pgr_dijkstraCostMatrix - Use pgr_dijkstra to create a costs matrix.

pgr_drivingDistance - Use pgr_dijkstra to calculate catchament information.

pgr_KSP - Use Yen algorithm with pgr_dijkstra to get the K shortest paths.

pgr_maxFlow - Only the Max flow calculation using Push and Relabel algorithm.

pgr_boykovKolmogorov - Boykov and Kolmogorov with details of flow on edges.

pgr_edmondsKarp - Edmonds and Karp algorithm with details of flow on edges.

pgr_pushRelabel - Push and relabel algorithm with details of flow on edges.

Applications

pgr_edgeDisjointPaths - Calculates edge disjoint paths between two groups of vertices.

pgr_maxCardinalityMatch - Calculates a maximum cardinality matching in a graph.

Topology - Family of Functions

pgr_createTopology - to create a topology based on the geometry.

pgr_createVerticesTable - to reconstruct the vertices table based on the source and target information.

pgr_analyzeGraph - to analyze the edges and vertices of the edge table.

pgr_analyzeOneWay - to analyze directionality of the edges.

pgr_nodeNetwork -to create nodes to a not noded edge table.

Traveling Sales Person - Family of functions

pgr_TSP - When input is given as matrix cell information.

pgr_TSPeuclidean - When input are coordinates.

pgr_trsp - Turn Restriction Shortest Path (TRSP) - Turn Restriction Shortest Path (TRSP)

## Functions by categories¶

pgr_drivingDistance - Driving Distance based on Dijkstra’s algorithm

pgr_primDD - Driving Distance based on Prim’s algorithm

pgr_kruskalDD - Driving Distance based on Kruskal’s algorithm

Post pocessing

pgr_alphaShape - Alpha shape computation

pgr_KSP - Yen’s algorithm based on pgr_dijkstra