Here's what we can say about the absolute magnitudes of two equal-sized stars with different colors:

* The blue-violet star will have a higher absolute magnitude.

Here's why:

* Color and Temperature: A blue-violet star is much hotter than an orange-red star. The color of a star is directly related to its surface temperature. Blue stars are the hottest, followed by white, yellow, orange, and red stars.

* Luminosity and Absolute Magnitude: Hotter stars are more luminous (they emit more light). Absolute magnitude is a measure of a star's intrinsic brightness. The higher the absolute magnitude, the brighter the star.

Important Note: While the blue-violet star will be intrinsically brighter, the difference in absolute magnitudes will depend on how much hotter the blue-violet star is compared to the orange-red star.

Let me know if you'd like to explore specific examples!