# Euler's Formula for Graphs

**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.

Tags: Graph Theory, Planar Graph, Euler S Formula