Distributed Denial of Service (DDOS) attacks have emerged as a prevalent way to shut an organization off from the internet and has resulted in financial losses to the same. In the case of DDOS attack, an adversary attempts to disconnect network elements by disabling the communication links or nodes. The effectiveness of DDOS defenses depends on factors such as the specific attack scenario and various characteristics of the network routers. However, little research has focused on the nature of the network's topology that can also be an effective DDOS defense. This study focuses on the adversaries who try to disable the communication links. It stresses the need for either a strong connectivity or m-connectivity among the nodes (routers). This approach will discourage the adversary from attempting to disable the network, as the cost for causing the damage will increase. Validation of this approach was performed using a network simulator and the results are shown. © 2006 Asian Network for Scientific Information.