Euler's Formula for Graphs


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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:

Example valid values:

Output:

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