Brain Network Analysis Through Span Integrity of Fuzzy Graphs

R. Sujatha (), M. Saravanan and R. Sundareswaran ()
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R. Sujatha: School of Science and Humanities (Mathematics), Shiv Nadar University Chennai, OMR, Chennai 603110, Tamil Nadu, India
M. Saravanan: Department of Mathematics, Mannar Thirumalai Naicker College, Madurai 625004, Tamil Nadu, India
R. Sundareswaran: Department of Mathematics, Sri Sivasubramaniya Nadar College of Engineering, OMR, Chennai, Tamil Nadu, India

New Mathematics and Natural Computation (NMNC), 2023, vol. 19, issue 02, 525-539

Abstract: Spanness of fuzzy graph is introduced. By spanness, a new vulnerability parameter, span integrity is defined in fuzzy graph. The span integrity values are found for path, cycle, complete fuzzy graph, complete bipartite fuzzy graphs. Path and cycle with node strength sequence are discussed. Brain network is modeled as a fuzzy graph and Span integrity is applied to the brain network. Span integrity of fuzzy brain network is calculated for before and after meditation models. The results are compared and the improvement in the stability of the brain network is shown.

Keywords: Spanness; integrity; fuzzy graph; span integrity; EEG; brain network (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S1793005723500205

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