2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/164642A centipede is a graph obtained by appending a pendant vertex to each vertex of degree 2 of a path. In this paper we prove that the centipede is determined by its Laplacian spectrum.Article en anglais avec un résumé étendu en français. Paper in english with an extended abstract in frenchCombinatoricsClassical Analysis and ODEsSpectral Theory05C50, 68R10text