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Sponsored by the Center for Science and Technology Development of the Ministry of Education
Supervised by Ministry of Education of the People's Republic of China
Scaffold filling is a new combinatorial optimization problem in genome sequencing and can improve the integrity of the sequencing results.The two-sided Scaffold Filling to Maximize the Number of String Adjacencies(SF-MNSA) problem can be described as: given two incomplete gene sequences $A$ and $B$, respectively fill the missing genes into $A$ and $B$ such that the number of adjacencies between the resulting sequences $A'$ and $B'$ is maximized.The two-sided scaffold filling problem is NP-complete for genomes with duplicated genes and there is no effective approximation algorithm.In this paper, a new version problem is proposed that symbol # is added to each endpoint of each input sequence for any instance of two-sided SF-MNSA problem and a polynomial algorithm for the special instance of this new version problem is designed and proved.
Keywords:Software and Theory; Scaffold Filling; String Adjacency; Breakpoint