论文信息 - The ExemplarBreakpointDistancefor Non-trivial Genomes Cannot Be Approximated

The ExemplarBreakpointDistancefor Non-trivial Genomes Cannot Be Approximated

A promising and active field of comparative genomics consists in comparing two genomes by establishing a one-to-one correspondence (i.e., a matching) between their genes. This correspondence is usually chosen in order to optimize a predefined measure. One such problem is the Exemplar Breakpoint Distance problem (or EBD , for short), which asks, given two genomes modeled by signed sequences of characters, to keep and match exactly one occurrence of each character in the two genomes (a process called exemplarization ), so as to minimize the number of breakpoints of the resulting genomes. Bryant [6] showed that EBD is NP -complete. In this paper, we close the study of the approximation of EBD by showing that no approximation factor can be derived for EBD considering non-trivial genomes --- i.e. genomes that contain duplicated genes.

Guillaume Fertin | Guillaume Blin | Stéphane Vialette | Florian Sikora

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