With cyber attacks on the rise, cyber defenders require new, innovative solutions to provide network protection. We propose a spectral graph-based cyber detection and classification (SGCDC) system using phantom components, the strong node concept, and the dual-degree matrix to detect, classify, and respond to worm and distributed denial-of-service (DDoS) attacks. The system is analyzed using absorbing Markov chains and a novel Levy-impulse model that characterizes network SYN traffic to determine the theoretical false-alarm rates of the system. The detection mechanism is analyzed in the face of network noise and congestion using Weyl’s theorem, the Davis-Kahan theorem, and a novel application of the n-dimensional Euclidean metric. The SGCDC system is validated using real-world and synthetic datasets, including the WannaCry and Blaster worms and a SYN flood attack. The system accurately detected and classified the attacks in all but one case studied. The known attacking nodes were identified in less than 0.27 sec for the DDoS attack, and the worm-infected nodes were identified in less than one second after the second infected node began the target search and discovery process for the WannaCry and Blaster worm attacks. The system also produced a false-alarm rate of less than 0.005 under a scenario. These results improve upon other non-spectral graph systems that have detection rates of less than 0.97 sec and false alarm rates as high as 0.095 sec for worm and DDoS attacks.Lieutenant Commander, United States NavyApproved for public release. distribution is unlimite
