What are weighted edges?

A weighted edge is like a road that has different speeds depending on which way you go or how busy it is.

Imagine you're playing with your toy cars on a big cardboard city map. Each street between the buildings is a road, and each road can be thought of as an edge, the line connecting two places, like two buildings.

Now, some roads are faster than others. Maybe one road has no traffic lights, so you can zoom through quickly, while another road is full of toy people who stop to wave, making it slower. These differences in speed are what we call weights, they tell us how much time or effort it takes to go from one place to another.

So, a weighted edge is like that busy road with the slow traffic, it’s still a road (an edge) but has more resistance (weight) than a faster one. This helps us figure out the quickest path for our toy cars, just like how we choose the best route when walking to school!