Extremal polyomino chains of VDB topological indices
ABSTRACT: We show that the zig-zag chain Z 3 n of segments of length 3 (see Figure 2) has the minimal ABC index among all polyomino chains with n squares. More generally, we give conditions on the numbers {ϕij} under which the zig-zag chain Z 3 n is an extremal value of the induced topological index...
- Autores:
-
Cruz Rodes, Roberto
Rada Rincón, Juan Pablo
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2015
- Institución:
- Universidad de Antioquia
- Repositorio:
- Repositorio UdeA
- Idioma:
- eng
- OAI Identifier:
- oai:bibliotecadigital.udea.edu.co:10495/26796
- Acceso en línea:
- http://hdl.handle.net/10495/26796
- Palabra clave:
- Extreme values
Valores extremos
http://aims.fao.org/aos/agrovoc/c_8e611af8
Topological indices
Polyomino chains
Índices topológicos
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by/2.5/co/
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| dc.title.spa.fl_str_mv |
Extremal polyomino chains of VDB topological indices |
| title |
Extremal polyomino chains of VDB topological indices |
| spellingShingle |
Extremal polyomino chains of VDB topological indices Extreme values Valores extremos http://aims.fao.org/aos/agrovoc/c_8e611af8 Topological indices Polyomino chains Índices topológicos |
| title_short |
Extremal polyomino chains of VDB topological indices |
| title_full |
Extremal polyomino chains of VDB topological indices |
| title_fullStr |
Extremal polyomino chains of VDB topological indices |
| title_full_unstemmed |
Extremal polyomino chains of VDB topological indices |
| title_sort |
Extremal polyomino chains of VDB topological indices |
| 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.contributor.researchgroup.spa.fl_str_mv |
Álgebra U de A |
| dc.subject.agrovoc.none.fl_str_mv |
Extreme values Valores extremos http://aims.fao.org/aos/agrovoc/c_8e611af8 |
| topic |
Extreme values Valores extremos http://aims.fao.org/aos/agrovoc/c_8e611af8 Topological indices Polyomino chains Índices topológicos |
| dc.subject.proposal.eng.fl_str_mv |
Topological indices Polyomino chains |
| dc.subject.proposal.spa.fl_str_mv |
Índices topológicos |
| description |
ABSTRACT: We show that the zig-zag chain Z 3 n of segments of length 3 (see Figure 2) has the minimal ABC index among all polyomino chains with n squares. More generally, we give conditions on the numbers {ϕij} under which the zig-zag chain Z 3 n is an extremal value of the induced topological index T defined by T (G) = X 1≤i≤j≤n−1 mijϕij where G is a graph with n vertices and mij is the number of edges of G with terminal vertices of degree i and j. We also find extremal values of the general Randi´c index Rα over the set of all polyomino chains, for some values of α. |
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2015 |
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2015 |
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2022-03-22T21:44:04Z |
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2022-03-22T21:44:04Z |
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Artículo de investigación |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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Cruz, R., & Rada, J. (2015). Extremal polyomino chains of VDB topological indices. Appl. Math. Sci, 9, 5371-5388. http://dx.doi.org/10.12988/ams.2015.54368 |
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1312-885X |
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http://hdl.handle.net/10495/26796 |
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10.12988/ams.2015.54368 |
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1314-7552 |
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Cruz, R., & Rada, J. (2015). Extremal polyomino chains of VDB topological indices. Appl. Math. Sci, 9, 5371-5388. http://dx.doi.org/10.12988/ams.2015.54368 1312-885X 10.12988/ams.2015.54368 1314-7552 |
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http://hdl.handle.net/10495/26796 |
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eng |
| language |
eng |
| dc.relation.ispartofjournalabbrev.spa.fl_str_mv |
Appl. Math. Sci. |
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5388 |
| dc.relation.citationissue.spa.fl_str_mv |
108 |
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5371 |
| dc.relation.citationvolume.spa.fl_str_mv |
8 |
| dc.relation.ispartofjournal.spa.fl_str_mv |
Applied Mathematical Sciences |
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http://creativecommons.org/licenses/by/2.5/co/ |
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https://creativecommons.org/licenses/by/4.0/ |
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Bulgaria |
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Cruz Rodes, RobertoRada Rincón, Juan PabloÁlgebra U de A2022-03-22T21:44:04Z2022-03-22T21:44:04Z2015Cruz, R., & Rada, J. (2015). Extremal polyomino chains of VDB topological indices. Appl. Math. Sci, 9, 5371-5388. http://dx.doi.org/10.12988/ams.2015.543681312-885Xhttp://hdl.handle.net/10495/2679610.12988/ams.2015.543681314-7552ABSTRACT: We show that the zig-zag chain Z 3 n of segments of length 3 (see Figure 2) has the minimal ABC index among all polyomino chains with n squares. More generally, we give conditions on the numbers {ϕij} under which the zig-zag chain Z 3 n is an extremal value of the induced topological index T defined by T (G) = X 1≤i≤j≤n−1 mijϕij where G is a graph with n vertices and mij is the number of edges of G with terminal vertices of degree i and j. We also find extremal values of the general Randi´c index Rα over the set of all polyomino chains, for some values of α.COL008689618application/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_abf2Extremal polyomino chains of VDB topological indicesArtículo 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 extremoshttp://aims.fao.org/aos/agrovoc/c_8e611af8Topological indicesPolyomino chainsÍndices topológicosAppl. Math. 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