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## NAME

PathsTraversal

## SYNOPSIS

use Graph::PathsTraversal;

use Graph::PathsTraversal qw(:all);

## DESCRIPTION

PathsTraversal class provides the following methods:

new, Copy, GetConnectedComponentsVertices, GetPaths, GetVertices , GetVerticesDepth, GetVerticesNeighborhoods , GetVerticesNeighborhoodsWithSuccessors, GetVerticesPredecessors, GetVerticesRoots , PerformAllPathsSearch, PerformAllPathsSearchWithLength , PerformAllPathsSearchWithLengthUpto, PerformBreadthFirstSearch , PerformBreadthFirstSearchWithLimit, PerformDepthFirstSearch , PerformDepthFirstSearchWithLimit, PerformNeighborhoodVerticesSearch , PerformNeighborhoodVerticesSearchWithRadiusUpto , PerformNeighborhoodVerticesSearchWithSuccessors , PerformNeighborhoodVerticesSearchWithSuccessorsAndRadiusUpto, PerformPathsSearch , PerformPathsSearchBetween, PerformPathsSearchWithLength , PerformPathsSearchWithLengthUpto, StringifyPaths, StringifyPathsTraversal , StringifyVerticesDepth, StringifyVerticesNeighborhoods , StringifyVerticesNeighborhoodsWithSuccessors, StringifyVerticesPredecessors , StringifyVerticesRoots, StringifyVerticesSuccessors

## METHODS

new
  $PathsTraversal = new Graph::PathsTraversal($Graph);

  Using specified Graph, new method creates a new PathsTraversal object and returns newly created PathsTraversal object.

Copy
  $PathsTraversal = $PathsTraversal->Copy();

  Copies PathsTraversal and its associated data using Storable::dclone and returns a new PathsTraversal object.

GetConnectedComponentsVertices
  @Components = $PathsTraversal->GetConnectedComponentsVertices();
  $NumOfComponents = $PathsTraversal->GetConnectedComponentsVertices();

  Returns an array of Components containing references to arrays of vertex IDs corresponding to connected components of graph after a search. In scalar context, the number of connected components is returned.

  Connected Components is sorted in descending order of number of vertices in each connected component.

GetPaths
  @Paths = $PathsTraversal->GetPaths();
  $NumOfPaths = $PathsTraversal->GetPaths();

  Returns an array of Paths containing references to arrays of vertex IDs corresponding to to paths traversed in a graph after a search. In scalar context, number of paths is returned.

  Paths array is sorted in ascending order of path lengths.

GetVertices
  @Vertices = $PathsTraversal->GetVertices();
  $NumOfVertices = $PathsTraversal->GetVertices();

  Returns an array containing an ordered list of vertex IDs traversed during a search. In scalar context, the number of vertices is returned.

GetVerticesDepth
  %VerticesDepth = $PathsTraversal->GetVerticesDepth();

  Returns a hash VerticesDepth containing vertex ID and depth from root vertex as a key and value pair for all vertices traversed during a search.

GetVerticesNeighborhoods
  @VerticesNeighborhoods = $PathsTraversal->GetVerticesNeighborhoods();
  $NumOfVerticesNeighborhoods = $PathsTraversal->GetVerticesNeighborhoods();

  Returns an array VerticesNeighborhoods containing references to arrays corresponding to vertices collected at various neighborhood radii around a specified vertex during a vertex neighborhood search. In scalar context, the number of neighborhoods is returned.

GetVerticesNeighborhoodsWithSuccessors
  @VerticesNeighborhoodsWithSucceessors = $PathsTraversal->GetVerticesNeighborhoodsWithSuccessors();
  $NumOfVerticesNeighborhoodsWithSucceessors = $PathsTraversal->GetVerticesNeighborhoodsWithSuccessors();

  Returns an array VerticesNeighborhoodsWithSucceessors containing references to arrays with first value corresponding to vertex IDs corresponding to a vertex at a specific neighborhood radius level and second value a reference to an arraty containing its successors.

GetVerticesPredecessors
  %VerticesPredecessors = $PathsTraversal->GetVerticesPredecessors();

  Returns a hash VerticesPredecessors containing vertex ID and predecessor vertex ID as key and value pair for all vertices traversed during a search.

GetVerticesRoots
  %VerticesRoots = $PathsTraversal->GetVerticesRoots();

  Returns a hash VerticesPredecessors containing vertex ID and root vertex ID as a key and value pair for all vertices traversed during a search.

PerformAllPathsSearch
  $PathsTraversal->PerformAllPathsSearch($StartVertexID, [$AllowCycles]);

  Searches all paths starting from a StartVertexID with sharing of edges in paths traversed and returns PathsTraversal.

  By default, cycles are included in paths. A path containing a cycle is terminated at a vertex completing the cycle.

PerformAllPathsSearchWithLength
  $PathsTraversal->PerformAllPathsSearchWithLength($StartVertexID, $Length, [$AllowCycles]);

  Searches all paths starting from StartVertexID of specific Length with sharing of edges in paths traversed and returns PathsTraversal.

  By default, cycles are included in paths. A path containing a cycle is terminated at a vertex completing the cycle.

PerformAllPathsSearchWithLengthUpto
  $PathsTraversal->PerformAllPathsSearchWithLengthUpto($StartVertexID, $Length, [$AllowCycles]);

  Searches all paths starting from StartVertexID of length upto a Length with sharing of edges in paths traversed and returns PathsTraversal.

  By default, cycles are included in paths. A path containing a cycle is terminated at a vertex completing the cycle.

PerformBreadthFirstSearch
  $PathsTraversal->PerformBreadthFirstSearch();

  Performs Breadth First Search (BFS) and returns PathsTraversal.

PerformBreadthFirstSearchWithLimit
  $PathsTraversal->PerformBreadthFirstSearchWithLimit($DepthLimit, [$RootVertexID]);

  Performs BFS with depth up to DepthLimit starting at RootVertexID and returns PathsTraversal. By default, root vertex ID corresponds to an arbitrary vertex.

PerformDepthFirstSearch
  $Return = $PathsTraversal->PerformDepthFirstSearch();

  Performs Depth First Search (DFS) and returns PathsTraversal.

PerformDepthFirstSearchWithLimit
  $PathsTraversal->PerformDepthFirstSearchWithLimit($DepthLimit, [$RootVertexID]);

  Performs DFS with depth up to DepthLimit starting at RootVertexID and returns PathsTraversal. By default, root vertex ID corresponds to an arbitrary vertex.

PerformNeighborhoodVerticesSearch
  $PathsTraversal->PerformNeighborhoodVerticesSearch($StartVertexID);

  Searches vertices around StartVertexID at all neighborhood radii and returns PathsTraversal object.

PerformNeighborhoodVerticesSearchWithRadiusUpto
  $PathsTraversal->PerformNeighborhoodVerticesSearchWithRadiusUpto( $StartVertexID, $Radius);

  Searches vertices around StartVertexID with neighborhood radius up to Radius and returns PathsTraversal object.

PerformNeighborhoodVerticesSearchWithSuccessors
  $PathsTraversal->PerformNeighborhoodVerticesSearchWithSuccessors( $StartVertexID);

  Searches vertices around StartVertexID at all neighborhood radii along with identification of successor vertices for each vertex found during the traversal and returns PathsTraversal.

PerformNeighborhoodVerticesSearchWithSuccessorsAndRadiusUpto
  $PathsTraversal->
  PerformNeighborhoodVerticesSearchWithSuccessorsAndRadiusUpto( $StartVertexID, $Radius);

  Searches vertices around StartVertexID with neighborhood radius upto Radius along with identification of successor vertices for each vertex found during the traversal and returns PathsTraversal.

PerformPathsSearch
  $PathsTraversal->PerformPathsSearch($StartVertexID, [$AllowCycles]);

  Searches paths starting from StartVertexID with no sharing of edges in paths traversed and returns PathsTraversal.

  By default, cycles are included in paths. A path containing a cycle is terminated at a vertex completing the cycle.

PerformPathsSearchBetween
  $PathsTraversal->PerformPathsSearchBetween($StartVertexID, $EndVertexID);

  Searches paths between StartVertexID and EndVertexID and returns PathsTraversal

PerformPathsSearchWithLength
  $PathsTraversal->PerformPathsSearchWithLength($StartVertexID, $Length, [$AllowCycles]);

  Searches paths starting from StartVertexID with length Length with no sharing of edges in paths traversed and returns PathsTraversal.

  By default, cycles are included in paths. A path containing a cycle is terminated at a vertex completing the cycle.

PerformPathsSearchWithLengthUpto
  $PathsTraversal->PerformPathsSearchWithLengthUpto($StartVertexID, $Length, [$AllowCycles]);

  Searches paths starting from StartVertexID with length upto Length with no sharing of edges in paths traversed and returns PathsTraversal.

  By default, cycles are included in paths. A path containing a cycle is terminated at a vertex completing the cycle.

StringifyPaths
  $String = $PathsTraversal->StringifyPaths();

  Returns a string containing information about traversed paths in PathsTraversal object

StringifyPathsTraversal
  $String = $PathsTraversal->StringifyPathsTraversal();

  Returns a string containing information about PathsTraversal object.

StringifyVerticesDepth
  $String = $PathsTraversal->StringifyVerticesDepth();

  Returns a string containing information about depth of vertices found during search by PathsTraversal object.

StringifyVerticesNeighborhoods
  $String = $PathsTraversal->StringifyVerticesNeighborhoods();

  Returns a string containing information about neighborhoods of vertices found during search by PathsTraversal object.

StringifyVerticesNeighborhoodsWithSuccessors
  $String = $PathsTraversal->StringifyVerticesNeighborhoodsWithSuccessors();

  Returns a string containing information about neighborhoods of vertices along with their successors found during search by PathsTraversal object.

StringifyVerticesPredecessors
  $String = $PathsTraversal->StringifyVerticesPredecessors();

  Returns a string containing information about predecessors of vertices found during search by PathsTraversal object.

StringifyVerticesRoots
  $String = $PathsTraversal->StringifyVerticesRoots();

  Returns a string containing information about roots of vertices found during search by PathsTraversal object.

StringifyVerticesSuccessors
  $String = $PathsTraversal->StringifyVerticesSuccessors();

  Returns a string containing information about successors of vertices found during search by PathsTraversal object.

## AUTHOR

Manish Sud

## SEE ALSO

Graph.pm, Path.pm

## COPYRIGHT

Copyright (C) 2015 Manish Sud. All rights reserved.

This file is part of MayaChemTools.

MayaChemTools is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version.

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