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arXiv · 2507.05570

Signless Laplacian index conditions for doubly chorded cycles in graphs with given order

Jin Cai·Bo Zhou
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Abstract

In this paper, we show that for a graph of order $n$, where $n\ge 5$, if the signless Laplacian index is larger than or equal to certain value depending on $n$, then the graph contains a doubly chorded cycle, where the chords incident to a common vertex, unless it is two specified graphs.

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Jin Cai, Bo Zhou. 2025-07-09. Signless Laplacian index conditions for doubly chorded cycles in graphs with given order. https://arxiv.org/abs/2507.05570

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