{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,20]],"date-time":"2026-01-20T08:17:10Z","timestamp":1768897030652,"version":"3.49.0"},"reference-count":27,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2009,2]]},"abstract":"<jats:p> In this paper, we study the synchronization properties of random geometric graphs. We show that the onset of synchronization takes place roughly at the same value of the order parameter as a random graph with the same size and average connectivity. However, the dependence of the order parameter on the coupling strength indicates that the fully synchronized state is more easily attained in random graphs. We next focus on the complete synchronized state and show that this state is less stable for random geometric graphs than for other kinds of complex networks. Finally, a rewiring mechanism is proposed as a way to improve the stability of the fully synchronized state as well as to lower the value of the coupling strength at which it is achieved. Our work has important implications for the synchronization of wireless networks, and should provide valuable insights for the development and deployment of more efficient and robust distributed synchronization protocols for these systems. <\/jats:p>","DOI":"10.1142\/s0218127409023044","type":"journal-article","created":{"date-parts":[[2009,5,8]],"date-time":"2009-05-08T11:52:17Z","timestamp":1241783537000},"page":"687-693","source":"Crossref","is-referenced-by-count":28,"title":["SYNCHRONIZATION IN RANDOM GEOMETRIC GRAPHS"],"prefix":"10.1142","volume":"19","author":[{"given":"ALBERT","family":"D\u00cdAZ-GUILERA","sequence":"first","affiliation":[{"name":"Departament de F\u00edsica Fonamental, University of Barcelona, Barcelona E-08028, Spain"},{"name":"Institute for Biocomputation and Physics of Complex Systems (BIFI), University of Zaragoza, Zaragoza E-50009, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"JES\u00daS","family":"G\u00d3MEZ-GARDE\u00d1ES","sequence":"additional","affiliation":[{"name":"Departament d'Enginyeria Inform\u00e1tica i Matem\u00e1tiques, University Rovira i Virgili, Tarragona E-43007, Spain"},{"name":"Scuola Superiore di Catania, University of Catania, Catania I-95123, Italy"},{"name":"Institute for Biocomputation and Physics of Complex Systems (BIFI), University of Zaragoza, Zaragoza E-50009, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"YAMIR","family":"MORENO","sequence":"additional","affiliation":[{"name":"Department of Theoretical Physics, University of Zaragoza, Zaragoza E-50009, Spain"},{"name":"Institute for Biocomputation and Physics of Complex Systems (BIFI), University of Zaragoza, Zaragoza E-50009, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"MAZIAR","family":"NEKOVEE","sequence":"additional","affiliation":[{"name":"Complexity Group, BT Research and Centre for Computational Science, University College London, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.77.137"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/9\/6\/187"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.96.114102"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.89.054101"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1016\/j.physrep.2005.10.009"},{"key":"rf6","volume-title":"Handbook of Graphs and Networks","author":"Bornholdt S.","year":"2003"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.94.218701"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.66.016121"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.95.188701"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1093\/acprof:oso\/9780198515906.001.0001"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2004.04.126"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.98.034101"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.75.066106"},{"key":"rf14","volume-title":"Ad hoc Networks: Fundamental Properties and Network Topologies","author":"Hekmat R.","year":"2006"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2005.06.085"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-69689-3"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1142\/9789812562463"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.72.015101"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1209\/epl\/i2004-10238-x"},{"key":"rf20","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.71.016116"},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/9\/6\/189"},{"key":"rf22","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.91.014101"},{"key":"rf23","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.72.047101"},{"key":"rf24","doi-asserted-by":"publisher","DOI":"10.1093\/acprof:oso\/9780198506263.001.0001"},{"key":"rf25","volume-title":"Sync: The Emerging Science of Spontaneous Order","author":"Strogatz S. 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