Where on the H-R digaram are the coolest stars located?

On the Hertzsprung-Russell (H-R) diagram, the coolest stars are located on the right side, particularly in the red dwarf region of the main sequence. These stars have lower temperatures, typically below 3,500 Kelvin. Additionally, some cooler stars can be found in the upper right quadrant as red giants and supergiants, though they are larger and more luminous than the typical cool main sequence stars.