The Wheels: an Infinite Family of Bi-connected Planar Synchronizing Graphs
Resumen:
Almost global synchronization property of Kuramoto coupled oscillations was recently introduced and stands for the case where almost every initial condition of the dynamical system leads to the synchronization of all the agents. When the oscillators are all identical, the property only depends on the the underlying interconnection graph. If the property is present, the interconnection graph is called synchronizing. It is known that a graph is synchronizing if and only if its block are. So, the characterization of synchronizing graphs can be restricted to the class of bi-connected graphs. In this work, we present the first known infinite family of biconnected planar synchronizing graphs, named, the wheels. Besides, we present two graph which are the first known chordal graph and Halin graphs that not synchronize.
| 2010 | |
| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/38706 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| _version_ | 1807522934565109760 |
|---|---|
| author | Canale, Eduardo |
| author2 | Monzón, Pablo Robledo, Franco |
| author2_role | author author |
| author_facet | Canale, Eduardo Monzón, Pablo Robledo, Franco |
| author_role | author |
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| collection | COLIBRI |
| dc.creator.none.fl_str_mv | Canale, Eduardo Monzón, Pablo Robledo, Franco |
| dc.date.accessioned.none.fl_str_mv | 2023-08-01T20:33:25Z |
| dc.date.available.none.fl_str_mv | 2023-08-01T20:33:25Z |
| dc.date.issued.es.fl_str_mv | 2010 |
| dc.date.submitted.es.fl_str_mv | 20230801 |
| dc.description.abstract.none.fl_txt_mv | Almost global synchronization property of Kuramoto coupled oscillations was recently introduced and stands for the case where almost every initial condition of the dynamical system leads to the synchronization of all the agents. When the oscillators are all identical, the property only depends on the the underlying interconnection graph. If the property is present, the interconnection graph is called synchronizing. It is known that a graph is synchronizing if and only if its block are. So, the characterization of synchronizing graphs can be restricted to the class of bi-connected graphs. In this work, we present the first known infinite family of biconnected planar synchronizing graphs, named, the wheels. Besides, we present two graph which are the first known chordal graph and Halin graphs that not synchronize. |
| dc.identifier.citation.es.fl_str_mv | Canale, E, Monzón, P, Robledo, F. “The Wheels: an Infinite Family of Bi-connected Planar Synchronizing Graphs”. Proceedings of the 5th IEEE Conference on Industrial Electronics and Applications, Taichung, Taiwan, 2010.. |
| dc.identifier.uri.none.fl_str_mv | https://hdl.handle.net/20.500.12008/38706 |
| dc.language.iso.none.fl_str_mv | en eng |
| dc.publisher.es.fl_str_mv | IEEE |
| dc.relation.ispartof.es.fl_str_mv | 5th IEEE Conference on Industrial Electronics and Applications, Taichung, Taiwan, 2010. |
| dc.rights.license.none.fl_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| dc.rights.none.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.source.none.fl_str_mv | reponame:COLIBRI instname:Universidad de la República instacron:Universidad de la República |
| dc.title.none.fl_str_mv | The Wheels: an Infinite Family of Bi-connected Planar Synchronizing Graphs |
| dc.type.es.fl_str_mv | Ponencia |
| dc.type.none.fl_str_mv | info:eu-repo/semantics/conferenceObject |
| dc.type.version.none.fl_str_mv | info:eu-repo/semantics/publishedVersion |
| description | Almost global synchronization property of Kuramoto coupled oscillations was recently introduced and stands for the case where almost every initial condition of the dynamical system leads to the synchronization of all the agents. When the oscillators are all identical, the property only depends on the the underlying interconnection graph. If the property is present, the interconnection graph is called synchronizing. It is known that a graph is synchronizing if and only if its block are. So, the characterization of synchronizing graphs can be restricted to the class of bi-connected graphs. In this work, we present the first known infinite family of biconnected planar synchronizing graphs, named, the wheels. Besides, we present two graph which are the first known chordal graph and Halin graphs that not synchronize. |
| eu_rights_str_mv | openAccess |
| format | conferenceObject |
| id | COLIBRI_38aa4011fc6ab30a2b5c7a40dbc6677c |
| identifier_str_mv | Canale, E, Monzón, P, Robledo, F. “The Wheels: an Infinite Family of Bi-connected Planar Synchronizing Graphs”. Proceedings of the 5th IEEE Conference on Industrial Electronics and Applications, Taichung, Taiwan, 2010.. |
| instacron_str | Universidad de la República |
| institution | Universidad de la República |
| instname_str | Universidad de la República |
| language | eng |
| language_invalid_str_mv | en |
| network_acronym_str | COLIBRI |
| network_name_str | COLIBRI |
| oai_identifier_str | oai:colibri.udelar.edu.uy:20.500.12008/38706 |
| publishDate | 2010 |
| reponame_str | COLIBRI |
| repository.mail.fl_str_mv | mabel.seroubian@seciu.edu.uy |
| repository.name.fl_str_mv | COLIBRI - Universidad de la República |
| repository_id_str | 4771 |
| rights_invalid_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| spelling | 2023-08-01T20:33:25Z2023-08-01T20:33:25Z201020230801Canale, E, Monzón, P, Robledo, F. “The Wheels: an Infinite Family of Bi-connected Planar Synchronizing Graphs”. Proceedings of the 5th IEEE Conference on Industrial Electronics and Applications, Taichung, Taiwan, 2010..https://hdl.handle.net/20.500.12008/38706Almost global synchronization property of Kuramoto coupled oscillations was recently introduced and stands for the case where almost every initial condition of the dynamical system leads to the synchronization of all the agents. When the oscillators are all identical, the property only depends on the the underlying interconnection graph. If the property is present, the interconnection graph is called synchronizing. It is known that a graph is synchronizing if and only if its block are. So, the characterization of synchronizing graphs can be restricted to the class of bi-connected graphs. In this work, we present the first known infinite family of biconnected planar synchronizing graphs, named, the wheels. Besides, we present two graph which are the first known chordal graph and Halin graphs that not synchronize.Made available in DSpace on 2023-08-01T20:33:25Z (GMT). No. of bitstreams: 4 license_text: 21936 bytes, checksum: 9833653f73f7853880c94a6fead477b1 (MD5) license_url: 49 bytes, checksum: 4afdbb8c545fd630ea7db775da747b2f (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) license.txt: 4194 bytes, checksum: 7f2e2c17ef6585de66da58d1bfa8b5e1 (MD5) Previous issue date: 2010enengIEEE5th IEEE Conference on Industrial Electronics and Applications, Taichung, Taiwan, 2010.Las obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad De La República. (Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. Nº 16 de C.D.C. de 07/10/2014)info:eu-repo/semantics/openAccessLicencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)The Wheels: an Infinite Family of Bi-connected Planar Synchronizing GraphsPonenciainfo:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/publishedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaCanale, EduardoMonzón, PabloRobledo, 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- Universidad de la Repúblicafalse |
| spellingShingle | The Wheels: an Infinite Family of Bi-connected Planar Synchronizing Graphs Canale, Eduardo |
| status_str | publishedVersion |
| title | The Wheels: an Infinite Family of Bi-connected Planar Synchronizing Graphs |
| title_full | The Wheels: an Infinite Family of Bi-connected Planar Synchronizing Graphs |
| title_fullStr | The Wheels: an Infinite Family of Bi-connected Planar Synchronizing Graphs |
| title_full_unstemmed | The Wheels: an Infinite Family of Bi-connected Planar Synchronizing Graphs |
| title_short | The Wheels: an Infinite Family of Bi-connected Planar Synchronizing Graphs |
| title_sort | The Wheels: an Infinite Family of Bi-connected Planar Synchronizing Graphs |
| url | https://hdl.handle.net/20.500.12008/38706 |
