The linear chain as an extremal value of VDB topological indices of polyomino chains
ABSTRACT: We give conditions on the numbers {ϕij} under which a vertex degree-based topological index T I of the form T I (G) = X 1≤i≤j≤n−1 mijϕij , where G is a graph with n vertices and mij is the number of ij-edges, has the linear chain as an extreme value among all polyomino chains. As a consequ...
- Autores:
-
Rada Rincón, Juan Pablo
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2014
- Institución:
- Universidad de Antioquia
- Repositorio:
- Repositorio UdeA
- Idioma:
- eng
- OAI Identifier:
- oai:bibliotecadigital.udea.edu.co:10495/26799
- Acceso en línea:
- http://hdl.handle.net/10495/26799
- Palabra clave:
- Extreme values
Valores extremos
Topological indices
Polyomino chains
Linear chains
http://aims.fao.org/aos/agrovoc/c_8e611af8
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by/2.5/co/
| id |
UDEA2_9e805965a7ccfb93090c2799a244452e |
|---|---|
| oai_identifier_str |
oai:bibliotecadigital.udea.edu.co:10495/26799 |
| network_acronym_str |
UDEA2 |
| network_name_str |
Repositorio UdeA |
| repository_id_str |
|
| dc.title.spa.fl_str_mv |
The linear chain as an extremal value of VDB topological indices of polyomino chains |
| title |
The linear chain as an extremal value of VDB topological indices of polyomino chains |
| spellingShingle |
The linear chain as an extremal value of VDB topological indices of polyomino chains Extreme values Valores extremos Topological indices Polyomino chains Linear chains http://aims.fao.org/aos/agrovoc/c_8e611af8 |
| title_short |
The linear chain as an extremal value of VDB topological indices of polyomino chains |
| title_full |
The linear chain as an extremal value of VDB topological indices of polyomino chains |
| title_fullStr |
The linear chain as an extremal value of VDB topological indices of polyomino chains |
| title_full_unstemmed |
The linear chain as an extremal value of VDB topological indices of polyomino chains |
| title_sort |
The linear chain as an extremal value of VDB topological indices of polyomino chains |
| dc.creator.fl_str_mv |
Rada Rincón, Juan Pablo |
| dc.contributor.author.none.fl_str_mv |
Rada Rincón, Juan Pablo |
| dc.contributor.researchgroup.spa.fl_str_mv |
Álgebra U de A |
| dc.subject.agrovoc.none.fl_str_mv |
Extreme values Valores extremos |
| topic |
Extreme values Valores extremos Topological indices Polyomino chains Linear chains http://aims.fao.org/aos/agrovoc/c_8e611af8 |
| dc.subject.proposal.spa.fl_str_mv |
Topological indices Polyomino chains Linear chains |
| dc.subject.agrovocuri.none.fl_str_mv |
http://aims.fao.org/aos/agrovoc/c_8e611af8 |
| description |
ABSTRACT: We give conditions on the numbers {ϕij} under which a vertex degree-based topological index T I of the form T I (G) = X 1≤i≤j≤n−1 mijϕij , where G is a graph with n vertices and mij is the number of ij-edges, has the linear chain as an extreme value among all polyomino chains. As a consequence, we deduce that over the polyomino chains, the linear chain has the maximal value of the Randi´c index, the sum-connectivity index, the harmonic index and the geometric-arithmetic index and the minimal value of the first Zagreb index and the second Zagreb index. |
| publishDate |
2014 |
| dc.date.issued.none.fl_str_mv |
2014 |
| dc.date.accessioned.none.fl_str_mv |
2022-03-22T21:53:47Z |
| dc.date.available.none.fl_str_mv |
2022-03-22T21:53:47Z |
| dc.type.spa.fl_str_mv |
Artículo de investigación |
| dc.type.coar.spa.fl_str_mv |
http://purl.org/coar/resource_type/c_2df8fbb1 |
| dc.type.redcol.spa.fl_str_mv |
https://purl.org/redcol/resource_type/ART |
| dc.type.coarversion.spa.fl_str_mv |
http://purl.org/coar/version/c_970fb48d4fbd8a85 |
| dc.type.driver.spa.fl_str_mv |
info:eu-repo/semantics/article |
| dc.type.version.spa.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
| format |
http://purl.org/coar/resource_type/c_2df8fbb1 |
| status_str |
publishedVersion |
| dc.identifier.citation.spa.fl_str_mv |
Rada, J. (2014). The linear chain as an extremal value of VDB topological indices of polyomino chains. Appl. Math. Sci, 8, 5133-5143. http://dx.doi.org/10.12988/ams.2014.46507 |
| dc.identifier.issn.none.fl_str_mv |
1312-885X |
| dc.identifier.uri.none.fl_str_mv |
http://hdl.handle.net/10495/26799 |
| dc.identifier.doi.none.fl_str_mv |
10.12988/ams.2014.46507 |
| dc.identifier.eissn.none.fl_str_mv |
1314-7552 |
| identifier_str_mv |
Rada, J. (2014). The linear chain as an extremal value of VDB topological indices of polyomino chains. Appl. Math. Sci, 8, 5133-5143. http://dx.doi.org/10.12988/ams.2014.46507 1312-885X 10.12988/ams.2014.46507 1314-7552 |
| url |
http://hdl.handle.net/10495/26799 |
| dc.language.iso.spa.fl_str_mv |
eng |
| language |
eng |
| dc.relation.ispartofjournalabbrev.spa.fl_str_mv |
Appl. Math. Sci. |
| dc.relation.citationendpage.spa.fl_str_mv |
5143 |
| dc.relation.citationissue.spa.fl_str_mv |
103 |
| dc.relation.citationstartpage.spa.fl_str_mv |
5133 |
| dc.relation.citationvolume.spa.fl_str_mv |
8 |
| dc.relation.ispartofjournal.spa.fl_str_mv |
Applied Mathematical Sciences |
| dc.rights.uri.*.fl_str_mv |
http://creativecommons.org/licenses/by/2.5/co/ |
| dc.rights.uri.spa.fl_str_mv |
https://creativecommons.org/licenses/by/4.0/ |
| dc.rights.accessrights.spa.fl_str_mv |
info:eu-repo/semantics/openAccess |
| dc.rights.coar.spa.fl_str_mv |
http://purl.org/coar/access_right/c_abf2 |
| rights_invalid_str_mv |
http://creativecommons.org/licenses/by/2.5/co/ https://creativecommons.org/licenses/by/4.0/ http://purl.org/coar/access_right/c_abf2 |
| eu_rights_str_mv |
openAccess |
| dc.format.extent.spa.fl_str_mv |
11 |
| dc.format.mimetype.spa.fl_str_mv |
application/pdf |
| dc.publisher.spa.fl_str_mv |
Hikari |
| dc.publisher.place.spa.fl_str_mv |
Bulgaria |
| institution |
Universidad de Antioquia |
| bitstream.url.fl_str_mv |
https://bibliotecadigital.udea.edu.co/bitstreams/d8854011-978d-48de-a56b-431809881506/download https://bibliotecadigital.udea.edu.co/bitstreams/feb7e2bf-c717-4d1e-849a-a3caf71e8bdc/download https://bibliotecadigital.udea.edu.co/bitstreams/2ca62a27-8298-4334-ac7e-5227d640d210/download https://bibliotecadigital.udea.edu.co/bitstreams/6d153637-dc88-4f4c-abf2-7b7022439091/download https://bibliotecadigital.udea.edu.co/bitstreams/90737b92-808a-4f61-ad71-e96dafbce7c2/download |
| bitstream.checksum.fl_str_mv |
8a4605be74aa9ea9d79846c1fba20a33 1646d1f6b96dbbbc38035efc9239ac9c ce0efc81ff3ed9a8fb512f42e5bf5136 277e7f12ef4dba747d43ef185438e6bb d0051819387739497961eb9c52a8035c |
| bitstream.checksumAlgorithm.fl_str_mv |
MD5 MD5 MD5 MD5 MD5 |
| repository.name.fl_str_mv |
Repositorio Institucional de la Universidad de Antioquia |
| repository.mail.fl_str_mv |
aplicacionbibliotecadigitalbiblioteca@udea.edu.co |
| _version_ |
1851052647779401728 |
| spelling |
Rada Rincón, Juan PabloÁlgebra U de A2022-03-22T21:53:47Z2022-03-22T21:53:47Z2014Rada, J. (2014). The linear chain as an extremal value of VDB topological indices of polyomino chains. Appl. Math. Sci, 8, 5133-5143. http://dx.doi.org/10.12988/ams.2014.465071312-885Xhttp://hdl.handle.net/10495/2679910.12988/ams.2014.465071314-7552ABSTRACT: We give conditions on the numbers {ϕij} under which a vertex degree-based topological index T I of the form T I (G) = X 1≤i≤j≤n−1 mijϕij , where G is a graph with n vertices and mij is the number of ij-edges, has the linear chain as an extreme value among all polyomino chains. As a consequence, we deduce that over the polyomino chains, the linear chain has the maximal value of the Randi´c index, the sum-connectivity index, the harmonic index and the geometric-arithmetic index and the minimal value of the first Zagreb index and the second Zagreb index.COL008689611application/pdfengHikariBulgariahttp://creativecommons.org/licenses/by/2.5/co/https://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2The linear chain as an extremal value of VDB topological indices of polyomino chainsArtículo de investigaciónhttp://purl.org/coar/resource_type/c_2df8fbb1https://purl.org/redcol/resource_type/ARThttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionExtreme valuesValores extremosTopological indicesPolyomino chainsLinear chainshttp://aims.fao.org/aos/agrovoc/c_8e611af8Appl. Math. Sci.514310351338Applied Mathematical SciencesPublicationLICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://bibliotecadigital.udea.edu.co/bitstreams/d8854011-978d-48de-a56b-431809881506/download8a4605be74aa9ea9d79846c1fba20a33MD53falseAnonymousREADCC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8927https://bibliotecadigital.udea.edu.co/bitstreams/feb7e2bf-c717-4d1e-849a-a3caf71e8bdc/download1646d1f6b96dbbbc38035efc9239ac9cMD52falseAnonymousREADORIGINALRadaJuan_2014_ ChainVDBTopological.pdfRadaJuan_2014_ ChainVDBTopological.pdfArtículo de investigaciónapplication/pdf267547https://bibliotecadigital.udea.edu.co/bitstreams/2ca62a27-8298-4334-ac7e-5227d640d210/downloadce0efc81ff3ed9a8fb512f42e5bf5136MD51trueAnonymousREADTEXTRadaJuan_2014_ ChainVDBTopological.pdf.txtRadaJuan_2014_ ChainVDBTopological.pdf.txtExtracted texttext/plain17311https://bibliotecadigital.udea.edu.co/bitstreams/6d153637-dc88-4f4c-abf2-7b7022439091/download277e7f12ef4dba747d43ef185438e6bbMD54falseAnonymousREADTHUMBNAILRadaJuan_2014_ ChainVDBTopological.pdf.jpgRadaJuan_2014_ ChainVDBTopological.pdf.jpgGenerated Thumbnailimage/jpeg10633https://bibliotecadigital.udea.edu.co/bitstreams/90737b92-808a-4f61-ad71-e96dafbce7c2/downloadd0051819387739497961eb9c52a8035cMD55falseAnonymousREAD10495/26799oai:bibliotecadigital.udea.edu.co:10495/267992025-03-27 01:37:08.889http://creativecommons.org/licenses/by/2.5/co/open.accesshttps://bibliotecadigital.udea.edu.coRepositorio Institucional de la Universidad de Antioquiaaplicacionbibliotecadigitalbiblioteca@udea.edu.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 |