# A result on polynomials derived via graph theory

## TL;DR

This paper demonstrates how a graph theory result can be applied to establish properties of polynomials over finite fields, linking two mathematical areas through graph isomorphism.

## Contribution

It introduces a novel application of directed graph isomorphism to derive properties of polynomials over finite fields.

## Key findings

- Directed graph isomorphism implies equal number of roots for certain trinomials
- Bridges graph theory and finite field polynomial properties
- Provides a new method to analyze polynomial roots using graph structures

## Abstract

We present an example of a result in graph theory that is used to obtain a result in another branch of mathematics. More precisely, we show that the isomorphism of certain directed graphs implies that some trinomials over finite fields have the same number of roots.