As an appendix of [Gao et al. Sharp isolated toughness bound for fractional
-deleted graphs, Acta Mathematicae Applicatae Sinica, English Series, 2025, 41(1): 252-269], the detailed proof of Theorem 4.1 in this work is presented.
References
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Gao, W., Wang, W. and Chen, Y. (2025) Sharp Isolated Toughness Bound for Fractional-Deleted Graphs. Acta Mathematicae Applicatae Sinica, English Series, 41, 252-269. https://doi.org/10.1007/s10255-024-1067-x
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