Network Analysis from the Edge Binding Number for Coprime graph of Groups
Keywords:
Network, Binding number, Coprime graphAbstract
Binding number is used to quantify the network's vulnerability as a parameter from the viewpoint of neighborhood structure. A graph represents the network, and min is the Edge binding number of . Let be a vertex set, where is a finite group with identity . If two distinct vertices and b are connected if and only if . This is called the coprime graph of and its denoted by . In this paper, we investigate the exact for the network settings that are constructed as and discussed its bound range.
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Mallika and J. Ahamed Thamimul Ansari , Binding number for coprime graph of groups, AKCE Int. J. Graphs Comb, 20:1, 2022, pp. 40 -- 46. https://doi.org/10.1080/09728600.2022.2152762
F. Chiclana, F. Mata, L.G. Pérez et. al., Type-1 OWA Unbalanced Fuzzy Linguistic Aggregation Methodology: Application to Eurobonds Credit Risk Evaluation, Int. J. Intell. Syst., 33:1071–1088, 2018. ] https://doi.org/10.1002/int.21912.
F. Mansoori, A. Erfanian and B. Tolue, Non-coprime graph of finite group, AIP Conference Proceedings, 1750, 2016, (1) 050017. https://doi.org/10.1063/1.4954605
Gary Chartrand and Ping Zhang, A first course in graph theory, Minelo, NY: Western Michigan University, Dover Publications, Inc., 2012.
Haroon Malik, Ansar-Ul-Haque Yasar, Elhadi M. Shakshuki, Towards augmenting ambient systems networks and technologies, J. Ambient Intell. Humaniz. Comput., 10:2493–2494, 2018. https://doi.org/10.1007/s12652-018-0727-1.
J. Li, H. Yan, Z. Liu et. al., Location-Sharing Systems With Enhanced Privacy in Mobile Online Social Networks, IEEE Syst. J., 11:439–448, 2017. https://doi.org/10.1109/JSYST.2015.2415835.
J. Li, L. Sun, Q. Yan et. al., Significant Permission Identification for Machine-Learning-Based Android Malware Detection, IEEE Trans. Ind. Inf., 14:3216–3225, 2018. https://doi.org/10.1109/TII.2017.2789219.
Joseph A.Gallian, Contemporary abstract algebra, 8th- ed. Noida, India: University of Minnesota Duluth, CENGAGE Learning Pvt. Ltd., 2013.
J.P. Espada, V. García-Díaz, E.R. Núñez-Valdéz, R. González Crespo, Real-time force doors detection system using distributed sensors and neural networks, Int. J. Intell. Syst., 34(9):2243–2252, 2019. https://doi.org/10.1002/int.22161.
Linzhong, L., Zhongfu, Z. & Jianfang, W., On the edge-binding number of some plane graphs, Acta Mathematicae Applicatae Sinica 17, 443–448 (2001). https://doi.org/10.1007/BF02669696.
P. Erdos, G.N. Sarkozy, On cycles in the coprime graph of integers, Electron. J. Comb., 4 (2), 1997. https://doi.org/10.37236/1323.
W. Gao, W. Wang, Binding number and fractional (g, f , n',m)-critical deleted graph}, Ars Combinatoria, (2014) 113A:49–64.
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