Critical behavior of rumor propagation on random networks of cliques
We disclose a critical phenomenon induced by structural properties of the contact pattern in a stylized model of rumor propagation over a population of agents. The contact pattern is given by a random network of cliques, formed by fully interconnected groups of nodes of identical size with randomly...
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Papers in Physics
2024-12-01
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| Online Access: | https://www.papersinphysics.org/papersinphysics/article/view/1013 |
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| author | Lucas A. Sobehart Damián H. Zanette |
| author_facet | Lucas A. Sobehart Damián H. Zanette |
| author_sort | Lucas A. Sobehart |
| collection | DOAJ |
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We disclose a critical phenomenon induced by structural properties of the contact pattern in a stylized model of rumor propagation over a population of agents. The contact pattern is given by a random network of cliques, formed by fully interconnected groups of nodes of identical size with randomly distributed connections between groups. As demonstrated numerically using finite-size scaling analysis, the process exhibits a critical transition between a regime where the rumor remains confined to a negligible part of the population and a regime where it attains a finite portion of the system. We determine the critical point and the critical exponent of the transition for different clique sizes. The phenomenon is analogous to that observed for the same kind of process in Watts-Strogatz small-world networks, and is likely due to the combination of large clustering and short mean geodesic distances that also characterizes random networks of cliques.
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| format | Article |
| id | doaj-art-53491903208b471fa6021e17c3b108cd |
| institution | Kabale University |
| issn | 1852-4249 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Papers in Physics |
| record_format | Article |
| series | Papers in Physics |
| spelling | doaj-art-53491903208b471fa6021e17c3b108cd2024-12-10T18:22:07ZengPapers in PhysicsPapers in Physics1852-42492024-12-011610.4279/pip.160003Critical behavior of rumor propagation on random networks of cliquesLucas A. Sobehart0Damián H. Zanette1Centro At´ómico Bariloche and Instituto Balseiro, Comisi´ón Nacional de Energ´ía At´ómica and Universidad Nacional de Cuyo, Av. Ezequiel Bustillo 9500, 8400 San Carlos de Bariloche, ArgentinaCentro At´ómico Bariloche and Instituto Balseiro, Comisi´ón Nacional de Energ´ía At´ómica and Universidad Nacional de Cuyo, Av. Ezequiel Bustillo 9500, 8400 San Carlos de Bariloche, Argentina We disclose a critical phenomenon induced by structural properties of the contact pattern in a stylized model of rumor propagation over a population of agents. The contact pattern is given by a random network of cliques, formed by fully interconnected groups of nodes of identical size with randomly distributed connections between groups. As demonstrated numerically using finite-size scaling analysis, the process exhibits a critical transition between a regime where the rumor remains confined to a negligible part of the population and a regime where it attains a finite portion of the system. We determine the critical point and the critical exponent of the transition for different clique sizes. The phenomenon is analogous to that observed for the same kind of process in Watts-Strogatz small-world networks, and is likely due to the combination of large clustering and short mean geodesic distances that also characterizes random networks of cliques. https://www.papersinphysics.org/papersinphysics/article/view/1013contact processescritical phenomenafinite-size scalingrumor propagationrandom network of cliques |
| spellingShingle | Lucas A. Sobehart Damián H. Zanette Critical behavior of rumor propagation on random networks of cliques Papers in Physics contact processes critical phenomena finite-size scaling rumor propagation random network of cliques |
| title | Critical behavior of rumor propagation on random networks of cliques |
| title_full | Critical behavior of rumor propagation on random networks of cliques |
| title_fullStr | Critical behavior of rumor propagation on random networks of cliques |
| title_full_unstemmed | Critical behavior of rumor propagation on random networks of cliques |
| title_short | Critical behavior of rumor propagation on random networks of cliques |
| title_sort | critical behavior of rumor propagation on random networks of cliques |
| topic | contact processes critical phenomena finite-size scaling rumor propagation random network of cliques |
| url | https://www.papersinphysics.org/papersinphysics/article/view/1013 |
| work_keys_str_mv | AT lucasasobehart criticalbehaviorofrumorpropagationonrandomnetworksofcliques AT damianhzanette criticalbehaviorofrumorpropagationonrandomnetworksofcliques |