A router is used to supervise network traffic and find the best route from source to destination in a network. In this paper, the authors survey the public presentation between two adaptive routing algorithms: Link State Algorithm (LSA), which is centralized algorithm and Distance Vector Algorithm (DVA), which is distributed algorithm. This paper is to compare two dynamic routing algorithms. Besides, they represent an overview of these algorithms distinguish similarities and differences between link state algorithm & distance vector algorithm. This paper is surveys of these algorithms and analysis the results.