title: Algebraic analysis of social networks for bio-surveillance: the cases of SARS-Beijing-2003 and AH1N1 influenza-México-2009.
abstract: Algebraic analysis of social networks exhibited by SARS-Beijing-2003 and AH1N1 flu-México-2009 was realized. The main tools were the Tutte polynomials and Maple package Graph-Theory. The topological structures like graphs and networks were represented by invariant polynomials. The evolution of a given social network was represented like an evolution of the algebraic complexity of the corresponding Tutte polynomial. The reduction of a given social network was described like an involution of the algebraic complexity of the associated Tutte polynomial. The outbreaks of SARS and AH1N1 Flu were considered like represented by a reduction of previously existing contact networks via the control measures executed by health authorities. From Tutte polynomials were derived numerical indicators about efficiency of control measures.
authors: Logic and Computation group, Physical Engineering Program, School of Sciences and Humanities, EAFIT University, Medellin, Colombia. jospina@eafit.edu.co
authors: Doracelly
authors: D
authors: Hincapié
authors: Juan
authors: J
authors: Ospina
mesh_terms: D002681:China / Q000453:epidemiology; D019295:Computational Biology; D004812:Epidemiologic Methods; D006801:Humans; D053118:Influenza A Virus, H1N1 Subtype; D007251:Influenza, Human / Q000453:epidemiology*; D055641:Mathematical Concepts; D008800:Mexico / Q000453:epidemiology; D011159:Population Surveillance / Q000379:methods*; D045169:Severe Acute Respiratory Syndrome / Q000453:epidemiology*; D012944:Social Support