2018
DOI: 10.1186/s12859-018-2130-5
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Computing the family-free DCJ similarity

Abstract: BackgroundThe genomic similarity is a large-scale measure for comparing two given genomes. In this work we study the (NP-hard) problem of computing the genomic similarity under the DCJ model in a setting that does not assume that the genes of the compared genomes are grouped into gene families. This problem is called family-free DCJ similarity.ResultsWe propose an exact ILP algorithm to solve the family-free DCJ similarity problem, then we show its APX-hardness and present four combinatorial heuristics with co… Show more

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Cited by 5 publications
(5 citation statements)
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“…Clearly, the method of choice are similarity measures that, rather than solely penalizing dissimilarity, quantify similarity. Conversely, global measures of DCJ similarity, such as those proposed by some of us [24,25] that only maximize the (weighted) number of cycles and paths in the adjacency graph, are unsuitable as well: In search of locally similar sequences, it is not sufficient to reward only similarity (then, a best local solution would always correspond to a global solution), but it is necessary to also penalize dissimilarity.…”
Section: Family Refinement Using Local Dcj Similaritymentioning
confidence: 99%
“…Clearly, the method of choice are similarity measures that, rather than solely penalizing dissimilarity, quantify similarity. Conversely, global measures of DCJ similarity, such as those proposed by some of us [24,25] that only maximize the (weighted) number of cycles and paths in the adjacency graph, are unsuitable as well: In search of locally similar sequences, it is not sufficient to reward only similarity (then, a best local solution would always correspond to a global solution), but it is necessary to also penalize dissimilarity.…”
Section: Family Refinement Using Local Dcj Similaritymentioning
confidence: 99%
“…We have demonstrated FFDCJ-SIMILARITY is APX-hard and an inapproximability result by a strict (approximation-preserving) reduction from MAX-2SAT to FFDCJ-SIMILARITY [Rubert et al 2017b, Rubert et al 2018]:…”
Section: Family-free Dcj Similaritymentioning
confidence: 99%
“…BMC Bioinformatics, 2018. [Rubert et al 2018] 3. Analysis of local genome rearrangement improves resolution of ancestral genomic maps in plants.…”
Section: Publications In Journalsmentioning
confidence: 99%
“…Given two sets of objects A and B, a matching matches each object of A (respectively B) to at least one object of B (respectively A). The matching has many uses including computational biology and pattern recognition [1][2][3]. We can represent the sets and their relations using a bipartite graph; for example one part can represent mutated gens and other part outlying gens [2].…”
Section: Introductionmentioning
confidence: 99%