Families of Graceful Spiders with (2k+1)k, (2k+1)k+1 and (2k+1)+k+1 Legs

Descripción del Articulo

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 th...

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Detalles Bibliográficos
Autores: Berrocal Huamani, Nelson, Atoche Bravo, María Jacqueline, Poma, F.
Formato: artículo
Fecha de Publicación:2025
Institución:Universidad Nacional de Huancavelica
Repositorio:UNH-Institucional
Lenguaje:inglés
OAI Identifier:oai:repositorio.unh.edu.pe:20.500.14597/9165
Enlace del recurso:https://doi.org/10.37256/cm.6120255497
https://hdl.handle.net/20.500.14597/9165
Nivel de acceso:acceso abierto
Materia:Graceful labeling
Graph labeling
Tree
Spider
https://purl.org/pe-repo/ocde/ford#1.01.00
Descripción
Sumario: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.
Families of Graceful Spiders with (2k+1)k, (2k+1)k+1 and (2k+1)+k+1 Legs
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