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arXiv · 2604.15649

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

Jin Cai·Bo Zhou
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Abstract

It is proved that for a graph of order $n$, where $n\ge 6$, if the signless Laplacian index is larger than or equal to certain value depending on $n$, then the graph contains a trebly chorded cycle, where the chords incident to a common vertex, unless it is one of two specified graphs.

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Jin Cai, Bo Zhou. 2026-04-17. Signless Laplacian index conditions for trebly chorded cycles in graphs with given order. https://arxiv.org/abs/2604.15649

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