Breakpoint graph is a key data structure to study genome rearrangements. The problem of Breakpoint Graph Decomposition (BGD), which asks for a largest collection of edge-disjoint cycles in a breakpoint graph, is a crucial step in computing rearrangement distances between genomes. This problem for genomes of unsigned genes is proved NP-hard, and the best known approximation ratio is 1.4193+ε [1]. In this paper, we present a polynomial time algorithm to detect whether a breakpoint graph can be decomposed into none other than 2-cycles. Our algorithm can be used to detect if there exists a sorting scenario between two genomes without reusing any breakpoints.
CITATION STYLE
Pu, L., & Jiang, H. (2016). Can a breakpoint graph be decomposed into none other than 2-cycles? In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9711, pp. 205–214). Springer Verlag. https://doi.org/10.1007/978-3-319-39817-4_20
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