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Spectral radius of bipartite graphs with chorded cycles
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DOI：10.1016/j.amc.2026.130232.png)
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Abstract
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The existence of chorded cycles is essential for the research of independent cycles of distinct lengths. In 2022, Gould [Graphs Combin. 38 (2022) 189] asked the question to give spectral conditions for a chorded cycle in a graph. Later, Zheng et al. [arXiv:2311.13323] answered this question using the spectral radius. Let G be a bipartite graph. In this paper, we determine the spectral radius condition for G containing k independent chorded cycles, where k ∈ {1, 2}. Moreover, we characterize the corresponding extremal graph.
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