# Physics-Informed Graph Neural Networks for Attack Path Prediction
## Appendix E Complexity Analysis
### Path Prediction Architecture
_Chaos, Solitons Fractals_**2016**, _89_, 203-209. [CrossRef]
* [PERSON] et al. (2021) [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON] Offensive security: Towards proactive threat hunting via adversary emulation. _IEEE Access_**2021**, \(9\), 126023-126033. [CrossRef]
* [PERSON] et al. (2020) [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON] Toward effective evaluation of cyber defense: Threat based adversary emulation approach. _IEEE Access_**2023**, _11_, 70443-70458. [CrossRef]
* [PERSON] et al. (2020) [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON] Cyber attack and defense emulation agents. _Appl. Sci._**2020**, _10_, 2140. [CrossRef]
* [PERSON] and [PERSON] (2019) [PERSON]; [PERSON] Digital twins for cyber-physical systems security: State of the art and outlook. In _Security and Quality in Cyber-Physical Systems Engineering: With Perowards by [PERSON] and [PERSON]_; Springer: Cham, Switzerland, 2019; pp. 383-412. * [PERSON] et al. (2020) [PERSON]; [PERSON]; [PERSON] Integrating digital twin security simulations in the security operations center. In Proceedings of the 15 th International Conference on Availability, Reliability and Security, Dublin, Ireland, 25-28 August 2020; pp. 1-9. * [PERSON] et al. (2021) [PERSON]; [PERSON]; [PERSON] Enhancing industrial control system forensics using replication-based digital twins. In Proceedings of the Advances in Digital Forensics XVII: 17 th IFIP WG 11.9 International Conference, Virtual Event, 1-2 February 2021; Revised Selected Papers 17; Springer: Berlin/Heidelberg, Germany, 2021; pp. 21-38. * [PERSON] et al. (2023) [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON] A Review of Digital Twins and their Application in Cybersecurity based on Artificial Intelligence. _arXiv_**2023**, arXiv:2311.01154. [CrossRef]
* [PERSON] et al. (2020) [PERSON]; [PERSON]; [PERSON]; [PERSON] ENIGMA: An explainable digital twin security solution for cyber-physical systems. _Comput. Ind._**2023**, _151_, 103961. [CrossRef]* [PERSON] et al. (2023) [PERSON]; [PERSON]; [PERSON] Digital Twin-Enhanced Incident Response for Cyber-Physical Systems. In Proceedings of the 18 th International Conference on Availability, Reliability and Security, Benevento, Italy, 29 July-1 August 2023; pp. 1-10. * [PERSON] et al. (2022) [PERSON]; [PERSON]; [PERSON]; [PERSON] SOAR4 IoT: Securing IoT Assets with Digital Twins. In Proceedings of the 17 th International Conference on Availability, Reliability and Security, Vienna, Austria, 23-26 August 2022; pp. 1-10. * [PERSON] et al. (2023) [PERSON]; [PERSON]; [PERSON] [PERSON]; [PERSON]; [PERSON] Exploiting digital twin technology for cybersecurity monitoring in smart grids. In Proceedings of the 18 th International Conference on Availability, Reliability and Security, Benevento, Italy, 29 July-1 August 2023; pp. 1-10. * [PERSON] (2024) [PERSON] GraphETL: Construction d'une plateforme versatile pour la modelisation du risque cyber. In Proceedings of the INFormatique des Organisations et Systemes d'Information et de Decision (INFORSID)--Forum JCJC, 42e edition, Nancy, France, 28-31 May 2024; pp. 105-120. * [PERSON] and [PERSON] (2021) [PERSON]; [PERSON]; [PERSON] Artificial Intelligence & Cybersecurity: A Preliminary Study of Automated Pentesting with Offensive Artificial Intelligence. In Proceedings of the International Conference on Information and Knowledge Systems; Springer: Berlin/Heidelberg, Germany, 2021; pp. 131-138. * [PERSON] and [PERSON] (2023) [PERSON]; [PERSON]; [PERSON] Classification of Decision Support Systems for Cybersecurity. In Proceedings of the 15 th Mediterranean Conference on Information Systems (MCIS) and the 6 th Middle East & North Africa Conference on digital Information Systems (MENACIS), Madrid, Spain, 6-9 September 2023. * [PERSON] et al. (2023) [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON] Enhancing Vulnerability Prioritization: Data-driven Exploit Predictions with Community-driven Insights.