Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 9, Issue 1


Published
on

September 3, 2024


Pages


DOI

Article

A Study on Graph Theory Application and Efficacy of Cybersecurity Situational Awareness in Industrial IoT System


Authors

Jie Cheng Affiliation:
State Grid Information & Telecommunication Branch, Beijing, 100761, China.
, Xiujuan Fan Affiliation:
State Grid Information & Telecommunication Branch, Beijing, 100761, China.
, Bingjie Lin Affiliation:
State Grid Information & Telecommunication Branch, Beijing, 100761, China.
, Zhijie Shang Affiliation:
State Grid Information & Telecommunication Branch, Beijing, 100761, China.
and Ang Xia Affiliation:
State Grid Information & Telecommunication Branch, Beijing, 100761, China.


Abstract

This paper proposes a network security situational awareness model based on graph theory, with the primary goal of improving industrial IoT system security. At the beginning of this paper, graph theory is explained in depth, the mutual transformation of directed and undirected graphs is proposed, the empowerment graph abstracted from practical problems is defined, matrix storage is used to realize graph storage, and an isomorphism function is proposed to realize isomorphism judgment of graphs. Based on the principles of graph theory, we develop a network security situational awareness model and suggest a network risk assessment system. This system utilizes risk indices for vulnerability, services, hosts, and networks and assesses the risk, threat, and posture of a specific asset. The efficacy of the cyber security situational awareness model is examined. The average precision rate, recall rate, and F1 value of this paper’s model reach 99.2%, 98.9%, and 97.05%, respectively. The performance of the recognition precision rate of different cyber-attack types is 1%~8% higher than that of the CN model. The leakage rate and false alarm rate of network attacks are 5.41% and 6.16%, respectively, and the overall accuracy rate reaches 95.48%. In terms of the running effect, the average absolute error and mean squared error of this paper’s model are 0.1302 and 0.2709, which are lower than other comparison models.


Keywords

Graph theory, Empowerment graph, Matrix storage, Cyber security situational awareness model, 08A02


Citation

Cheng, J., Fan, X., Lin, B., Shang, Z., & Xia, A. (2024). A study on graph theory application and efficacy of cybersecurity situational awareness in industrial iot system. Applied Mathematics and Nonlinear Sciences, 9(1). https://doi.org/10.2478/amns-2024-2332

Published by: Engineering Journals

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