A network model of social contacts with small-world and scale-free features, tunable connectivity, and geographic restrictions

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dc.contributor.authorLicciardi A.N.
dc.contributor.authorMonteiro L.H.A.
dc.date.accessioned2024-05-01T06:13:07Z
dc.date.available2024-05-01T06:13:07Z
dc.date.issued2024
dc.description.abstract© 2024 the Author(s).Small-world networks and scale-free networks are well-known theoretical models within the realm of complex graphs. These models exhibit "low"average shortest-path length; however, key distinctions are observed in their degree distributions and average clustering coefficients: in smallworld networks, the degree distribution is bell-shaped and the clustering is "high"; in scale-free networks, the degree distribution follows a power law and the clustering is "low". Here, a model for generating scale-free graphs with "high"clustering is numerically explored, since these features are concurrently identified in networks representing social interactions. In this model, the values of average degree and exponent of the power-law degree distribution are both adjustable, and spatial limitations in the creation of links are taken into account. Several topological metrics are calculated and compared for computer-generated graphs. Unexpectedly, the numerical experiments show that, by varying the model parameters, a transition from a power-law to a bell-shaped degree distribution can occur. Also, in these graphs, the degree distribution is most accurately characterized by a pure power-law for values of the exponent typically found in real-world networks.
dc.description.firstpage4801
dc.description.issuenumber4
dc.description.lastpage4813
dc.description.volume21
dc.identifier.doi10.3934/mbe.2024211
dc.identifier.issnNone
dc.identifier.urihttps://dspace.mackenzie.br/handle/10899/38601
dc.relation.ispartofMathematical Biosciences and Engineering
dc.rightsAcesso Aberto
dc.subject.otherlanguagecomplex network
dc.subject.otherlanguagepower law
dc.subject.otherlanguagescale free
dc.subject.otherlanguagesmall world
dc.subject.otherlanguagesocial interaction
dc.titleA network model of social contacts with small-world and scale-free features, tunable connectivity, and geographic restrictions
dc.typeArtigo
local.scopus.citations1
local.scopus.eid2-s2.0-85188057320
local.scopus.subjectClusterings
local.scopus.subjectDegree distributions
local.scopus.subjectNetwork models
local.scopus.subjectPower-law
local.scopus.subjectScale free networks
local.scopus.subjectScale-free
local.scopus.subjectSmall scale
local.scopus.subjectSmall worlds
local.scopus.subjectSocial contacts
local.scopus.subjectSocial interactions
local.scopus.updated2024-12-01
local.scopus.urlhttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85188057320&origin=inward
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