Holocaust
I don't know of any detailed comparison between American use of reservations and the Nazi policy of the "Final Solution". It's quite commonplace to point out that the general concept of "manifest destiny" and the displacement of the original population by "superior" Europeans was part of a widespread social-darwinist model at the end of the nineteenth century that provides a model for the Nazi idea of lebensraum. There was a these written on that as far back as 1950: Frank Parrella, “Lebensraum and Manifest Destiny: A Comparative Study in the Justification of  Expansionism” . There's also Reginald Horsman, Race and Manifest Destiny. Ward Churchill makes comparisons between lebenraum and American attitudes to Indians in his books, notably A Little Matter of Genocide: Holocaust and Denial in the Americas.