'Random' color AI script with no adjacent colors the same

[#1]

Could an Illustrator script like RandomSwatchesFill be modified to apply colors in such a way that no two colors from a group of swatches would be repeated in shapes that immediately border each other? I don't think this is truly random, but it's meant to make the distribution of colors feel more varied.

From what I've seen online, this would be an application of the four color theorem — or whatever number of colors are involved. For my own purposes, I would typically have more colors in a group of swatches — at least five or more.

Appreciate any insights and guidance!

[#2]

Could an Illustrator script like RandomSwatchesFill be modified to apply colors in such a way that no two colors from a group of swatches would be repeated in shapes that immediately border each other? I don't think this is truly random, but it's meant to make the distribution of colors feel more varied.

From what I've seen online, this would be an application of the four color theorem — or whatever number of colors are involved. For my own purposes, I would typically have more colors in a group of swatches — at least five or more.

Appreciate any insights and guidance!

[#3]

Firstly, you'll need to define what "adjacent" means in terms of path items in Illustrator.  

[#4]

By adjacent, I mean shapes that immediately border each other. In my case, the simplest example might be a checkerboard-like grid where colors are assigned so that no squares that border each other are colored the same. Thanks.

[#5]

It could be done using an adjacency matrix, but this requires knowledge of graph theory, which unfortunately I do not presently possess.