Aleph-w 3.0
A C++ Library for Data Structures and Algorithms
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generate_forest.C File Reference

Example demonstrating forest generation from binary trees. More...

#include <cstdlib>
#include <ctime>
#include <iostream>
#include <fstream>
#include <tclap/CmdLine.h>
#include <tpl_tree_node.H>
#include <generate_tree.H>
#include <tpl_binTree.H>
Include dependency graph for generate_forest.C:

Go to the source code of this file.

Classes

struct  WriteNode
 Functor to convert tree node to string for output. More...
 

Functions

static void printNode (BinTreeVtl< int >::Node *node, int, int)
 
int main (int argc, char *argv[])
 

Detailed Description

Example demonstrating forest generation from binary trees.

This example demonstrates converting a binary search tree into a forest (collection of trees) representation. A forest is useful for representing hierarchical structures where nodes can have multiple children (n-ary trees), which is more flexible than binary trees.

What is a Forest?

Graph Theory Definition

A forest is a collection of trees. In graph theory:

  • A tree is a connected acyclic graph
  • A forest is a disjoint union of trees (may be disconnected)
  • Forest = collection of trees with no cycles

In This Context

We convert a binary tree (each node has at most 2 children) to a general tree/forest (each node can have any number of children):

  • Binary tree: Limited to 2 children per node
  • General tree: Unlimited children per node
  • Forest: Collection of general trees

Conversion Process

Algorithm Steps

The example performs the following:

  1. Generate binary tree: Creates a random binary search tree with n nodes
  2. Traverse binary tree: Visits all nodes in the binary tree
  3. Convert structure: Transforms binary tree to general tree:
    • Binary tree nodes → General tree nodes
    • Binary tree edges → General tree parent-child relationships
  4. Output forest: Writes forest structure in suitable format

Conversion Details

The conversion preserves the hierarchical structure:

  • Root nodes: Binary tree root becomes forest root
  • Child relationships: Binary tree children become forest children
  • Node data: Key values preserved
  • Structure: Hierarchical relationships maintained

Applications

Tree Visualization

  • Format conversion: Convert between tree representations
  • Visualization tools: Some tools work better with n-ary trees
  • Display: More flexible display options

Data Structure Conversion

  • Adapting algorithms: Algorithms designed for n-ary trees
  • Flexibility: General trees more flexible than binary
  • Representation: Better representation for some problems

Algorithm Testing

  • Test cases: Generate test cases for tree algorithms
  • Format compatibility: Test algorithms on different formats
  • Validation: Verify algorithm correctness on different structures

Format Conversion

  • Interoperability: Convert between different tree formats
  • Data exchange: Exchange tree data between systems
  • Standardization: Convert to standard formats

Forest Properties

Structure

  • Multiple roots: Forest can have multiple root nodes
  • Disconnected: Trees in forest are disconnected
  • Hierarchical: Each tree maintains hierarchy

Advantages Over Binary Trees

  • Flexibility: Unlimited children per node
  • Natural representation: Better for some problems
  • Simpler algorithms: Some algorithms simpler for n-ary trees

Usage

# Generate forest with 50 nodes
generate_forest -n 50 -o forest.txt
# Use specific seed for reproducibility
generate_forest -n 100 -s 12345 -o output.txt
# Generate large forest
generate_forest -n 1000 -o large_forest.txt

Output Format

The forest is output in a format suitable for:

  • Visualization: Can be visualized with tree tools
  • Processing: Can be processed by tree algorithms
  • Storage: Can be saved and loaded later

Example Use Cases

File System Representation

  • Directories: Can have any number of subdirectories
  • Natural fit: General trees match file system structure
  • Navigation: Easier navigation than binary representation

Organizational Charts

  • Hierarchy: Represent organizational structures
  • Flexibility: Managers can have any number of subordinates
  • Visualization: Better visualization than binary trees

XML/HTML Parsing

  • DOM trees: Represent document structure
  • Nested elements: Elements can have any number of children
  • Natural representation: Matches document structure
See also
generate_tree.H Tree generation utilities
tpl_tree_node.H N-ary tree node structure
tpl_binTree.H Binary tree structures
ntreepic.C N-ary tree visualization (related)
Author
Leandro Rabindranath León

Definition in file generate_forest.C.

Function Documentation

◆ main()

◆ printNode()

static void printNode ( BinTreeVtl< int >::Node node,
int  ,
int   
)
static

Definition at line 172 of file generate_forest.C.

References Aleph::maps().

Referenced by main().