Algorithms_in_C++ 1.0.0
Set of algorithms implemented in C++.
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graph::RootedTree Class Reference
Inheritance diagram for graph::RootedTree:
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Collaboration diagram for graph::RootedTree:
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Public Member Functions

 RootedTree (const std::vector< std::pair< int, int > > &undirected_edges, int root_)
 Constructs the tree by calculating parent for every vertex. Assumes a valid description of a tree is provided.
 
- Public Member Functions inherited from graph::Graph< T >
void add_edge (T u, T v, bool bidir=true)
 
std::map< T, bool > breadth_first_search (T src)
 
 Graph (size_t N, const std::vector< std::pair< int, int > > &undirected_edges)
 Populate the adjacency list for each vertex in the graph. Assumes that evey edge is a pair of valid vertex indices.
 
int number_of_vertices () const
 

Public Attributes

std::vector< int > parent
 Stores parent of every vertex and for root its own index. The root is technically not its own parent, but it's very practical for the lowest common ancestor algorithm.
 
std::vector< int > level
 Stores the distance from the root.
 
int root
 Index of the root vertex.
 
- Public Attributes inherited from graph::Graph< T >
std::vector< std::vector< int > > neighbors
 for each vertex it stores a list indicies of its neighbors
 

Protected Member Functions

void populate_parents ()
 Calculate the parents for all the vertices in the tree. Implements the breadth first search algorithm starting from the root vertex searching the entire tree and labeling parents for all vertices.
 

Detailed Description

Representation of a rooted tree. For every vertex its parent is precalculated.

Constructor & Destructor Documentation

◆ RootedTree()

graph::RootedTree::RootedTree ( const std::vector< std::pair< int, int > > & undirected_edges,
int root_ )
inline

Constructs the tree by calculating parent for every vertex. Assumes a valid description of a tree is provided.

Parameters
undirected_edgeslist of graph's undirected edges
root_index of the root vertex
95 : Graph(undirected_edges.size() + 1, undirected_edges), root(root_) {
97 }
Definition bellman_ford.cpp:13
int root
Index of the root vertex.
Definition lowest_common_ancestor.cpp:108
void populate_parents()
Calculate the parents for all the vertices in the tree. Implements the breadth first search algorithm...
Definition lowest_common_ancestor.cpp:117
T size(T... args)
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Member Function Documentation

◆ populate_parents()

void graph::RootedTree::populate_parents ( )
inlineprotected

Calculate the parents for all the vertices in the tree. Implements the breadth first search algorithm starting from the root vertex searching the entire tree and labeling parents for all vertices.

Returns
none
117 {
118 // Initialize the vector with -1 which indicates the vertex
119 // wasn't yet visited.
122 parent[root] = root;
123 level[root] = 0;
124 std::queue<int> queue_of_vertices;
125 queue_of_vertices.push(root);
126 while (!queue_of_vertices.empty()) {
127 int vertex = queue_of_vertices.front();
128 queue_of_vertices.pop();
129 for (int neighbor : neighbors[vertex]) {
130 // As long as the vertex was not yet visited.
131 if (parent[neighbor] == -1) {
132 parent[neighbor] = vertex;
133 level[neighbor] = level[vertex] + 1;
134 queue_of_vertices.push(neighbor);
135 }
136 }
137 }
138 }
std::vector< std::vector< int > > neighbors
for each vertex it stores a list indicies of its neighbors
Definition lowest_common_ancestor.cpp:77
int number_of_vertices() const
Definition lowest_common_ancestor.cpp:74
std::vector< int > level
Stores the distance from the root.
Definition lowest_common_ancestor.cpp:106
std::vector< int > parent
Stores parent of every vertex and for root its own index. The root is technically not its own parent,...
Definition lowest_common_ancestor.cpp:104
T empty(T... args)
T front(T... args)
T pop(T... args)
T push(T... args)
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The documentation for this class was generated from the following file: