Which stellar types occupy the upper right region of the H-R diagram, despite sometimes having modest surface temperatures?

Answer

Giants and supergiants

Stars that have evolved off the Main Sequence into the Giant or Supergiant phase are characterized by immense physical radii, even if their surface temperatures are relatively cool, sometimes cooler than the Sun. Because the Stefan-Boltzmann Law dictates that luminosity scales with the square of the radius ($R^2$), this enormous surface area allows these stars to emit a massive total amount of energy, placing them high on the vertical axis of the Hertzsprung-Russell diagram, regardless of their cooler spectral classification.

Which stellar types occupy the upper right region of the H-R diagram, despite sometimes having modest surface temperatures?
physicstemperaturestarLuminosityrelation