Work with Yu Xiang to do all of the following. He's included in the "royal we" used below.
We'll need to define the inter-workings of the sequential alignment algorithm. Next determine the asymtotic complexity of the algorithm on dynamic characters of varying alphabet size. After providing a formal description and analysis, we should perform empirical tests on dynamic characters of increasing length defined over varying alphabet size. The hypothesis is that the sequential alignment algorithm will run in near linear time with increasing efficacy as the dynamic characters increase in length.
Work with Yu Xiang to do all of the following. He's included in the "royal we" used below.
We'll need to define the inter-workings of the sequential alignment algorithm. Next determine the asymtotic complexity of the algorithm on dynamic characters of varying alphabet size. After providing a formal description and analysis, we should perform empirical tests on dynamic characters of increasing length defined over varying alphabet size. The hypothesis is that the sequential alignment algorithm will run in near linear time with increasing efficacy as the dynamic characters increase in length.