NDLI: The wheels: an infinite family of bi-connected planar synchronizing graphs

Content Provider	IEEE Xplore Digital Library
Author	Canale, E.A. Monzón, P.A. Robledo, F.
Copyright Year	2010
Description	Author affiliation: Instituto de Matemática y Estadística, Facultad de Ingeniería, Universidad de la República, Montevideo, Uruguay (Canale, E.A.) \|\| Instituto de Computación, Facultad de Ingeniería, Universidad de la República, Montevideo, Uruguay (Robledo, F.) \|\| Instituto de Ingeniería Eléctrica, Facultad de Ingeniería, Universidad de la República, Montevideo, Uruguay (Monzón, P.A.)
Abstract	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 wich are the first known chordal graph and Halin graphs that not synchronize.
Starting Page	2204
Ending Page	2209
File Size	188824
Page Count	6
File Format	PDF
ISBN	9781424450459
e-ISBN	9781424450466
DOI	10.1109/ICIEA.2010.5515313
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-06-15
Publisher Place	Taiwan
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Wheels Oscillators Irrigation Tree graphs Biology Physics Mathematical model Biological system modeling Angular velocity Heart
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
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3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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