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

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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: otro
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
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spelling Berrocal Huamani, NelsonAtoche Bravo, María JacquelinePoma, F.2025-06-09T15:14:45Z2025-06-09T15:14:45Z2025-01-21We 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.2024-08-15application/pdfhttps://doi.org/10.37256/cm.6120255497https://hdl.handle.net/20.500.14597/9165engUniversal Wiser Publisher PTE. LTD.Singapurhttps://doi.org/10.37256/cm.6120255497info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/4.0/Graceful labelingGraph labelingTreeSpiderhttps://purl.org/pe-repo/ocde/ford#1.01.00Families of Graceful Spiders with (2k+1)k, (2k+1)k+1 and (2k+1)+k+1 Legsinfo:eu-repo/semantics/otherinfo:eu-repo/semantics/publishedVersionreponame:UNH-Institucionalinstname:Universidad Nacional de Huancavelicainstacron:UNH47626281https://orcid.org/0000-0001-8554-3503ORIGINALCM-5497-final.pdfCM-5497-final.pdfapplication/pdf935662https://repositorio.unh.edu.pe/bitstreams/ca5816c8-1243-4ee8-aaa1-2d29fab6464e/download0397a87faeef6ee7a9aa99a3cd6b76a4MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-844https://repositorio.unh.edu.pe/bitstreams/6039c49a-02a6-4bec-a9df-4f72fd597502/downloada0ebbeafb9d2ec7cbb19d7137ebc392cMD5220.500.14597/9165oai:repositorio.unh.edu.pe:20.500.14597/91652025-07-30 11:22:01.374https://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccesshttps://repositorio.unh.edu.peUniversidad Nacional de Huancavelicarepositorio@unh.edu.peaHR0cHM6Ly9jcmVhdGl2ZWNvbW1vbnMub3JnL2xpY2Vuc2VzL2J5LzQuMC8=
dc.title.none.fl_str_mv Families of Graceful Spiders with (2k+1)k, (2k+1)k+1 and (2k+1)+k+1 Legs
title Families of Graceful Spiders with (2k+1)k, (2k+1)k+1 and (2k+1)+k+1 Legs
spellingShingle Families of Graceful Spiders with (2k+1)k, (2k+1)k+1 and (2k+1)+k+1 Legs
Berrocal Huamani, Nelson
Graceful labeling
Graph labeling
Tree
Spider
https://purl.org/pe-repo/ocde/ford#1.01.00
title_short Families of Graceful Spiders with (2k+1)k, (2k+1)k+1 and (2k+1)+k+1 Legs
title_full Families of Graceful Spiders with (2k+1)k, (2k+1)k+1 and (2k+1)+k+1 Legs
title_fullStr Families of Graceful Spiders with (2k+1)k, (2k+1)k+1 and (2k+1)+k+1 Legs
title_full_unstemmed Families of Graceful Spiders with (2k+1)k, (2k+1)k+1 and (2k+1)+k+1 Legs
title_sort Families of Graceful Spiders with (2k+1)k, (2k+1)k+1 and (2k+1)+k+1 Legs
author Berrocal Huamani, Nelson
author_facet Berrocal Huamani, Nelson
Atoche Bravo, María Jacqueline
Poma, F.
author_role author
author2 Atoche Bravo, María Jacqueline
Poma, F.
author2_role author
author
dc.contributor.author.fl_str_mv Berrocal Huamani, Nelson
Atoche Bravo, María Jacqueline
Poma, F.
dc.subject.none.fl_str_mv Graceful labeling
Graph labeling
Tree
Spider
topic Graceful labeling
Graph labeling
Tree
Spider
https://purl.org/pe-repo/ocde/ford#1.01.00
dc.subject.ocde.none.fl_str_mv https://purl.org/pe-repo/ocde/ford#1.01.00
description 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.
publishDate 2025
dc.date.accessioned.none.fl_str_mv 2025-06-09T15:14:45Z
dc.date.available.none.fl_str_mv 2025-06-09T15:14:45Z
dc.date.issued.fl_str_mv 2025-01-21
dc.type.none.fl_str_mv info:eu-repo/semantics/other
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dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.14597/9165
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https://hdl.handle.net/20.500.14597/9165
dc.language.iso.none.fl_str_mv eng
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dc.publisher.country.none.fl_str_mv Singapur
publisher.none.fl_str_mv Universal Wiser Publisher PTE. LTD.
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