| Purely                               combinatorial algorithms for comparing genomes are                               essentially model-free, requiring no a priori quantitative                               characterization of the processes of genome rearrangement.                               It is possible to introduce various parameters into                               the optimizing criterion to increase realism, but                               this leads to algorithmically much harder problems.                               Nevertheless, with the advent of eukaryotic genome                               sequences, answers to the following questions could                               aid in reconstructing the details of genomic evolution.                               With what frequency does each type of rearrangement                               operation occur in a given evolutionary lineage?                               What regions or sites on the chromosome are susceptible                               to a particular type of change? How large is the                               DNA segment inverted, transposed, deleted, translocated,                               or duplicated? Partial answers are now known for                               several lineages and we discuss how to integrate                               this information into inference about evolutionary                               genomics. |