This repository serves as an in-depth exploration of Graph Theory and Dynamic Programming, covering theoretical concepts, algorithmic strategies, and their practical applications. It is designed for ...

A matrix, like a crossword puzzle or a DNA sequence, is a two-dimensional array of characters. To find a pattern in a matrix, a dynamic programming algorithm can be used to compare the pattern ...

We consider a finite and undirected graph G with vertex set and edge-set that contain ... to consider maximum cycle packing problems of G within the framework of dynamic programming. In section 3, ...

In this paper, we review dynamic programming and graph algorithms, and discuss representative examples of how these discrete optimization techniques have been applied to some classical vision problems ...

Three well-known algorithms provide a correct solution (a valid coloring) for any input graphs: Dynamic Programming, DSatur, and RLF. The RLF algorithm is implemented with some improvements as stated ...

Finally, assembly errors are corrected in a graph-based dynamic programming polishing step ... and then estimates the proportion of different microbes in the sample. We introduce four important and ...