# Euler's Formula for Graphs

 Vertices: Edges: Faces:

Output: `Press calculate`

Formula: Euler's Formula for Graphs - `V - E + F = 2`

## Introduction to Euler's Formula for Graphs

Euler's formula for graphs is a relationship between the number of vertices, edges, and faces in a planar graph. It states that for any connected planar graph, the inequality `V - E + F = 2` holds true, where `V` represents the number of vertices, `E` represents the number of edges, and `F` represents the number of faces.

## Parameter usage:

• `V` = number of vertices
• `E` = number of edges
• `F` = number of faces

## Example valid values:

• `V` = 4, `E` = 6, `F` = 4

## Output:

• true: the given parameters satisfy Euler’s formula for graphs
• error message: the given parameters do not satisfy Euler’s formula for graphs

## Data validation

The formula checks whether the given parameters satisfy Euler’s formula for graphs. If the formula `V - E + F = 2` is valid, it returns true; otherwise, it returns an error message indicating the parameters do not satisfy the formula.

## Summary

Euler's formula for graphs is an essential concept in graph theory used to determine the relationship between vertices, edges, and faces in a planar graph. It has various applications in geometry, topology, and computer science.