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

Fuente: arXiv
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Auteurs principaux: Cai, Jin, Zhou, Bo
Format: Preprint
Publié: 2025
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author Cai, Jin
Zhou, Bo
author_facet Cai, Jin
Zhou, Bo
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2507_05570
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Signless Laplacian index conditions for doubly chorded cycles in graphs with given order
Cai, Jin
Zhou, Bo
Combinatorics
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.
title Signless Laplacian index conditions for doubly chorded cycles in graphs with given order
topic Combinatorics
url https://arxiv.org/abs/2507.05570