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20232026
most citedSpectral conditions for the existence of chorded cycles in graphs with fixed size

1 citations · 2 across the 18 of their papers we have counts for

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math.CO2024

Spectral conditions implying the existence of doubly chorded cycles without or with constraints

Leyou Xu, Bo Zhou

What spectral conditions imply a graph contains a chorded cycle? This question was asked by R.J. Gould in 2022. We answer two modified versions of Gould's question by giving tight…

math.CO2024★ 1 cited

Spectral conditions for the existence of chorded cycles in graphs with fixed size

Jin Cai, Leyou Xu, Bo Zhou

A chorded cycle is a cycle with at least one chord. Gould asked in [Graphs Comb. 38 (2022) 189] the question: What spectral conditions imply a graph contains a chorded cycle? For a…

math.CO2024

Diameter vs Laplacian eigenvalue distribution

Leyou Xu, Bo Zhou

Let be a simple graph of order . It is known that any Laplacian eigenvalue of belongs to the interval . For an interval , denote by the…