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

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.

arXiv admin note: text overlap with arXiv:2507.05570