# An Almost Exact Linear Complexity Algorithm of the Shortest Transformation of Chain-Cycle Graphs

@article{Gorbunov2020AnAE, title={An Almost Exact Linear Complexity Algorithm of the Shortest Transformation of Chain-Cycle Graphs}, author={K. Gorbunov and V. Lyubetsky}, journal={ArXiv}, year={2020}, volume={abs/2004.14351} }

A "genome structure" is a labeled directed graph with vertices of degree 1 or 2. A set of operations over such graphs is fixed, and each of the operations has a certain cost, a strictly positive number. The transformation problem consists in the following: for given structures a and b and given costs, find a minimum total cost sequence of operations transforming a into b ("the shortest transformation of a into b"). Each operation corresponds to an "event", the latter being a change in the graph… Expand

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