Graph Operations Library

This library provides implementations for various operations on graphs, including arithmetic operations, comparison operators, increment/decrement operations, scalar multiplication/division, graph multiplication, and output operations.

Operators

Arithmetic Operators

• Unary Plus (+)
• Binary Plus (+)
• Compound Binary Plus (+=)
• Unary Minus (-)
• Compound Binary Plus (-)
• Binary Minus (-=)

Comparison Operators

• Equal (==)
• Not Equal (!=)
• Greater Than (>)
• Greater Than or Equal To (>=)
• Less Than (<)
• Less Than or Equal To (<=)

Increment and Decrement Operators

• Prefix Increment (++)
• Prefix Decrement (--)
• Postfix Increment (++)
• Postfix Decrement (--)

Scalar Operations

• Multiplication by Integer Scalar (*)
• Compound Assignment Scalar Multiplication (*=)
• Scalar Division (/)
• Compound Assignment Scalar Division (/=)

Graph Multiplication

• Graph Multiplication (*)

Output Operator

• Output Operator (<<)

Code Structure

The codebase is divided into two main files:

1. Graph.hpp / Graph.cpp
   • Contains the implementation of the Graph class.
   • Provides functionalities to load adjacency matrices, print graphs, get weights of edges, check for negative cycles, and set cycle flags, and the following operations:
     • Arithmetic
     • Comparison
     • Increment and decrement
     • Scalar and graph multiplication
     • Output

Usage

To use this library, include the Graph.hpp header file in your C++ code. Make sure to instantiate the Graph class and utilize the provided operators according to your requirements.

Example usage:

#include "Graph.hpp"
#include <iostream>

using namespace ariel;

int main() {
    // Create two graphs
    Graph graph1({{1, 2}, {3, 4}});
    Graph graph2({{5, 6}, {7, 8}});

    // Perform operations
    Graph result = graph1 + graph2;
    std::cout << "Result of addition: " << result << std::endl;

    // Other operations work similarly...
    
    return 0;
}