Gallai–Hasse–Roy–Vitaver theorem
Okay kiddo, today we are going to talk about a big word - the Gallai-Hasse-Roy-Vitaver theorem! This theorem helps us understand how to color a big group of things called vertices in a way that they don't touch each other.
Imagine you have a group of friends and you want to give them all different colored t-shirts. But here's the catch - friends who don't like each other can't have the same color. You can't put two friends with the same colored t-shirt next to each other, otherwise they will get angry at each other.
In math, we call these friends "vertices" and the colored t-shirts are "colors." We use the word "graph" to describe a group of vertices that are connected with lines (sometimes we call this lines "edges").
The Gallai-Hasse-Roy-Vitaver theorem helps us figure out how many colors we need to paint the vertices of this graph in a way that no two connected vertices get the same color.
So, let's say we have a very big group of vertices, and we want to use the smallest number of colors possible so that no two connected vertices get same color. Using this theorem, we can figure out how many colors we need to do this.
Isn't that cool? Even big problems can be solved with math!
Imagine you have a group of friends and you want to give them all different colored t-shirts. But here's the catch - friends who don't like each other can't have the same color. You can't put two friends with the same colored t-shirt next to each other, otherwise they will get angry at each other.
In math, we call these friends "vertices" and the colored t-shirts are "colors." We use the word "graph" to describe a group of vertices that are connected with lines (sometimes we call this lines "edges").
The Gallai-Hasse-Roy-Vitaver theorem helps us figure out how many colors we need to paint the vertices of this graph in a way that no two connected vertices get the same color.
So, let's say we have a very big group of vertices, and we want to use the smallest number of colors possible so that no two connected vertices get same color. Using this theorem, we can figure out how many colors we need to do this.
Isn't that cool? Even big problems can be solved with math!