Artículos Científicos - 2025

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Families of Graceful Spiders with (2k+1)k, (2k+1)k+1 and (2k+1)+k+1 Legs
(Universal Wiser Publisher PTE. LTD., 2025-01-21) Berrocal Huamani, Nelson; Atoche Bravo, María Jacqueline; Poma, F.
We say that a tree is a spider if has at most one vertex of degree greater than two. We obtain existence of families of gracefuls spiders with ℓ(2k +1)−k, ℓ(2k +1)−k +1 and ℓ(2k +1)+k +1 legs. We provide specific labels for each spider graph, these labels are constructed from graceful path graphs that have a particular label, so there is acorrespondence between some paths and graceful spiders that we are studying, this correspondence is described in an algorithm outlined in the preliminaries.