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Spectral radius of bipartite graphs with chorded cycles

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  • Cheng, Panpan
  • Gao, Yunshu
  • Wang, Ning
  • Jian, Yumeng

Abstract

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.

Suggested Citation

  • Cheng, Panpan & Gao, Yunshu & Wang, Ning & Jian, Yumeng, 2026. "Spectral radius of bipartite graphs with chorded cycles," Applied Mathematics and Computation, Elsevier, vol. 531(C).
    • Handle: RePEc:eee:apmaco:v:531:y:2026:i:c:s0096300326002845
    DOI: 10.1016/j.amc.2026.130232
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