Transforming cabbage into turnip: polynomial algorithm for sorting signed permutations by reversals
STOC '95 Proceedings of the twenty-seventh annual ACM symposium on Theory of computing
Sorting by reversals is difficult
RECOMB '97 Proceedings of the first annual international conference on Computational molecular biology
A Faster and Simpler Algorithm for Sorting Signed Permutations by Reversals
SIAM Journal on Computing
Universal and simple operations for gene assembly in ciliates
Where mathematics, computer science, linguistics and biology meet
How ciliates manipulate their own DNA – A splendid example of natural computing
Natural Computing: an international journal
Formal systems for gene assembly in ciliates
Theoretical Computer Science
CPM '96 Proceedings of the 7th Annual Symposium on Combinatorial Pattern Matching
String and graph reduction systems for gene assembly in ciliates
Mathematical Structures in Computer Science
Computation in Living Cells: Gene Assembly in Ciliates (Natural Computing Series)
Computation in Living Cells: Gene Assembly in Ciliates (Natural Computing Series)
DNA'04 Proceedings of the 10th international conference on DNA computing
Simple Gene Assembly Is Deterministic
Fundamenta Informaticae - SPECIAL ISSUE ON TRAJECTORIES OF LANGUAGE THEORY Dedicated to the memory of Alexandru Mateescu
Patterns of simple gene assembly in ciliates
Discrete Applied Mathematics
Three models for gene assembly in ciliates: a comparison
Proceedings of the 3rd International Conference on Bio-Inspired Models of Network, Information and Computing Sytems
Complexity measures for gene assembly
KDECB'06 Proceedings of the 1st international conference on Knowledge discovery and emergent complexity in bioinformatics
Simple Gene Assembly Is Deterministic
Fundamenta Informaticae - SPECIAL ISSUE ON TRAJECTORIES OF LANGUAGE THEORY Dedicated to the memory of Alexandru Mateescu
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The intramolecular model for gene assembly in ciliates considers three operations, ld, hi, and dlad that can assemble any gene pattern through folding and recombination: the molecule is folded so that two occurrences of a pointer (short nucleotide sequence) get aligned and then the sequence is rearranged through recombination of pointers. In general, the sequence rearranged by one operation can be arbitrarily long and consist of many coding and non-coding blocks. We consider in this paper some simpler variants of the three operations, where only one coding block is rearranged at a time. We characterize in this paper the gene patterns that can be assembled through these variants. Our characterization is in terms of signed permutations and dependency graphs. Interestingly, we show that simple assemblies possess rather involved properties: a gene pattern may have both successful and unsuccessful assemblies and also more than one successful assembling strategy.