Extremal values of VDB topological indices over catacondensed polyomino systems

ABSTRACT: A VDB topological index is defined as T = T (G) = X 1≤i≤j≤n−1 mijϕi,j , where G is a graph with n vertices and mij is the number of ij-edges. We study T over the set of catacondensed polyomino systems. Specifically, we introduce two unbranching operations and show that under certain condit...

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Autores:
Cruz Rodes, Roberto
Rada Rincón, Juan Pablo
Tipo de recurso:
Article of investigation
Fecha de publicación:
2016
Institución:
Universidad de Antioquia
Repositorio:
Repositorio UdeA
Idioma:
eng
OAI Identifier:
oai:bibliotecadigital.udea.edu.co:10495/26798
Acceso en línea:
http://hdl.handle.net/10495/26798
Palabra clave:
Extreme values
Valores extremos
VDB indices
Catacondensed polyomino systems
Polyomino chains
http://aims.fao.org/aos/agrovoc/c_8e611af8
Rights
openAccess
License
http://creativecommons.org/licenses/by/2.5/co/
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network_name_str Repositorio UdeA
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dc.title.spa.fl_str_mv Extremal values of VDB topological indices over catacondensed polyomino systems
title Extremal values of VDB topological indices over catacondensed polyomino systems
spellingShingle Extremal values of VDB topological indices over catacondensed polyomino systems
Extreme values
Valores extremos
VDB indices
Catacondensed polyomino systems
Polyomino chains
http://aims.fao.org/aos/agrovoc/c_8e611af8
title_short Extremal values of VDB topological indices over catacondensed polyomino systems
title_full Extremal values of VDB topological indices over catacondensed polyomino systems
title_fullStr Extremal values of VDB topological indices over catacondensed polyomino systems
title_full_unstemmed Extremal values of VDB topological indices over catacondensed polyomino systems
title_sort Extremal values of VDB topological indices over catacondensed polyomino systems
dc.creator.fl_str_mv Cruz Rodes, Roberto
Rada Rincón, Juan Pablo
dc.contributor.author.none.fl_str_mv Cruz Rodes, Roberto
Rada Rincón, Juan Pablo
dc.subject.agrovoc.none.fl_str_mv Extreme values
Valores extremos
topic Extreme values
Valores extremos
VDB indices
Catacondensed polyomino systems
Polyomino chains
http://aims.fao.org/aos/agrovoc/c_8e611af8
dc.subject.proposal.spa.fl_str_mv VDB indices
Catacondensed polyomino systems
Polyomino chains
dc.subject.agrovocuri.none.fl_str_mv http://aims.fao.org/aos/agrovoc/c_8e611af8
description ABSTRACT: A VDB topological index is defined as T = T (G) = X 1≤i≤j≤n−1 mijϕi,j , where G is a graph with n vertices and mij is the number of ij-edges. We study T over the set of catacondensed polyomino systems. Specifically, we introduce two unbranching operations and show that under certain conditions on {ϕij}, T is monotone with respect to these operations. We apply these results to find extremal values of T over the set of catacondensed polyomino systems.
publishDate 2016
dc.date.issued.none.fl_str_mv 2016
dc.date.accessioned.none.fl_str_mv 2022-03-22T21:46:23Z
dc.date.available.none.fl_str_mv 2022-03-22T21:46:23Z
dc.type.spa.fl_str_mv info:eu-repo/semantics/article
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dc.type.hasversion.spa.fl_str_mv info:eu-repo/semantics/publishedVersion
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dc.type.local.spa.fl_str_mv Artículo de investigación
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dc.identifier.citation.spa.fl_str_mv Cruz, R., & Rada, J. (2016). Extremal values of VDB topological indices over catacondensed polyomino systems. Appl. Math. Sci, 10, 487-501. http://dx.doi.org/10.12988/ams.2016.59613
dc.identifier.issn.none.fl_str_mv 1312-885X
dc.identifier.uri.none.fl_str_mv http://hdl.handle.net/10495/26798
dc.identifier.doi.none.fl_str_mv 10.12988/ams.2016.59613
dc.identifier.eissn.none.fl_str_mv 1314-7552
identifier_str_mv Cruz, R., & Rada, J. (2016). Extremal values of VDB topological indices over catacondensed polyomino systems. Appl. Math. Sci, 10, 487-501. http://dx.doi.org/10.12988/ams.2016.59613
1312-885X
10.12988/ams.2016.59613
1314-7552
url http://hdl.handle.net/10495/26798
dc.language.iso.spa.fl_str_mv eng
language eng
dc.relation.ispartofjournalabbrev.spa.fl_str_mv Appl. Math. Sci.
dc.rights.spa.fl_str_mv info:eu-repo/semantics/openAccess
dc.rights.uri.*.fl_str_mv http://creativecommons.org/licenses/by/2.5/co/
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rights_invalid_str_mv http://creativecommons.org/licenses/by/2.5/co/
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dc.format.extent.spa.fl_str_mv 15
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Hikari
dc.publisher.group.spa.fl_str_mv Álgebra U de A
dc.publisher.place.spa.fl_str_mv Bulgaria
institution Universidad de Antioquia
bitstream.url.fl_str_mv http://bibliotecadigital.udea.edu.co/bitstream/10495/26798/2/license_rdf
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repository.name.fl_str_mv Repositorio Institucional Universidad de Antioquia
repository.mail.fl_str_mv andres.perez@udea.edu.co
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spelling Cruz Rodes, RobertoRada Rincón, Juan Pablo2022-03-22T21:46:23Z2022-03-22T21:46:23Z2016Cruz, R., & Rada, J. (2016). Extremal values of VDB topological indices over catacondensed polyomino systems. Appl. Math. Sci, 10, 487-501. http://dx.doi.org/10.12988/ams.2016.596131312-885Xhttp://hdl.handle.net/10495/2679810.12988/ams.2016.596131314-7552ABSTRACT: A VDB topological index is defined as T = T (G) = X 1≤i≤j≤n−1 mijϕi,j , where G is a graph with n vertices and mij is the number of ij-edges. We study T over the set of catacondensed polyomino systems. Specifically, we introduce two unbranching operations and show that under certain conditions on {ϕij}, T is monotone with respect to these operations. We apply these results to find extremal values of T over the set of catacondensed polyomino systems.COL008689615application/pdfengHikariÁlgebra U de ABulgariainfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_2df8fbb1https://purl.org/redcol/resource_type/ARTArtículo de investigaciónhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/2.5/co/http://purl.org/coar/access_right/c_abf2https://creativecommons.org/licenses/by/4.0/Extremal values of VDB topological indices over catacondensed polyomino systemsExtreme valuesValores extremosVDB indicesCatacondensed polyomino systemsPolyomino chainshttp://aims.fao.org/aos/agrovoc/c_8e611af8Appl. Math. Sci.Applied Mathematical Sciences4875011010CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8927http://bibliotecadigital.udea.edu.co/bitstream/10495/26798/2/license_rdf1646d1f6b96dbbbc38035efc9239ac9cMD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81748http://bibliotecadigital.udea.edu.co/bitstream/10495/26798/3/license.txt8a4605be74aa9ea9d79846c1fba20a33MD53ORIGINALCruzRoberto_2016_VDBTopologicalPolyomino.pdfCruzRoberto_2016_VDBTopologicalPolyomino.pdfArtículo de investigaciónapplication/pdf257990http://bibliotecadigital.udea.edu.co/bitstream/10495/26798/1/CruzRoberto_2016_VDBTopologicalPolyomino.pdf440922d3043142e7050dc9087f3d0b8cMD5110495/26798oai:bibliotecadigital.udea.edu.co:10495/267982022-03-22 16:46:23.549Repositorio Institucional Universidad de Antioquiaandres.perez@udea.edu.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