According to the topic on stars, galaxies and the universe, the characteristics that are used to classify stars are color, temperature, size, elemental or compound composition, and brightness. Among these factors give, the characteristic not used to classify stars is distance from the earth.
The star is classified based on following five basic properties:
1) brightness of star
2) color of star
3) surface temperature of star
4) size of star
5) mass of star
So based on this the only characteristics which is not used to classify stars is distance from earth as size, brightness, temperature are also related to age of stars.