Mitochondrial DNA and recombination
Mitochondrial DNA is circular, like bacterial DNA, and around 16.6 Kb long. It codes for 37 genes in total but the majority of these are simply the machinery for gene expression (curiously, mitochondria have a slightly different codon->amino acid translation 'table' to nuclear DNA) and so just 13 code for proteins. Single mitochondria usually have multiple copies of the DNA.

Mitochondria are thought to be most closely related to the bacteria Rickettsia, an obligate intracellular parasite that causes typhus. Mitochondria are so degenerate, however, that they've lost nearly all the genes that normal bacteria have.

While there is some small level of heterogeneity in mitochondria in a single person because mitochondria are exclusively transmitted down the female line most people typically only start with a single clonal population of mitochondria. Because of this, there is no other mitochondrial population present that the mitochondrial DNA could undergo recombination with.

Mitochondrial DNA does undergo recombination with nuclear DNA, however, in that genes can be transfered from the mitochondria to the nuclear DNA and because of this the majority of genes necessary for mitochondrial function are now coded not on the mitochondrial DNA but on the nuclear DNA and their protein products transported into the mitochondria after translation.