In the study of complex networks, assortative mixing, or assortativity, is a bias in favor of connections between network nodes with similar characteristics.[1] In the specific case of social networks, assortative mixing is also known as homophily. The rarer disassortative mixing is a bias in favor of connections between dissimilar nodes.
In social networks, for example, individuals commonly choose to associate with others of similar age, nationality, location, race, income, educational level, religion, or language as themselves.[2] In networks of sexual contact, the same biases are observed, but mixing is also disassortative by gender – most partnerships are between individuals of opposite sex.
Assortative mixing can have effects, for example, on the spread of disease: if individuals have contact primarily with other members of the same population groups, then diseases will spread primarily within those groups. Many diseases are indeed known to have differing prevalence in different population groups, although other social and behavioral factors affect disease prevalence as well, including variations in quality of health care and differing social norms.
Of particular interest is the phenomenon of assortative mixing by degree, meaning the tendency of nodes with high degree to connect to others with high degree, and similarly for low degree.[5] Because degree is itself a topological property of networks, this type of assortative mixing gives rise to more complex structural effects than other types. Empirically it has been observed that most social networks mix assortatively by degree, but most networks of other types mix disassortatively,[6][7] although there are exceptions.[8][9]
^M. E. J. Newman (2003). "Mixing patterns in networks". Physical Review E. 67 (2): 026126. arXiv:cond-mat/0209450. Bibcode:2003PhRvE..67b6126N. doi:10.1103/PhysRevE.67.026126. PMID 12636767. S2CID 15186389.
^M. McPherson; L. Smith-Lovin & J. M. Cook (2001). "Birds of a feather: Homophily in social networks". Annual Review of Sociology. 27: 415–444. doi:10.1146/annurev.soc.27.1.415. S2CID 2341021.
^S. Maslov & K. Sneppen (2002). "Specificity and stability in topology of protein networks". Science. 296 (5569): 910–913. arXiv:cond-mat/0205380. Bibcode:2002Sci...296..910M. doi:10.1126/science.1065103. PMID 11988575. S2CID 2096348.
^R. Pastor-Satorras; A. Vázquez & A. Vespignani (2001). "Dynamical and correlation properties of the Internet". Physical Review Letters. 87 (25): 258701. arXiv:cond-mat/0105161. Bibcode:2001PhRvL..87y8701P. doi:10.1103/PhysRevLett.87.258701. PMID 11736611. S2CID 6232586.
^von Csefalvay, Chris (2023), "Simple compartmental models", Computational Modeling of Infectious Disease, Elsevier, pp. 19–91, doi:10.1016/b978-0-32-395389-4.00011-6, ISBN978-0-323-95389-4, retrieved 2023-03-03
^M. E. J. Newman (2002). "Assortative mixing in networks". Physical Review Letters. 89 (20): 208701. arXiv:cond-mat/0205405. Bibcode:2002PhRvL..89t8701N. doi:10.1103/PhysRevLett.89.208701. PMID 12443515. S2CID 1574486.
^S. Johnson; J.J. Torres; J. Marro & M.A. Muñoz (2010). "Entropic origin of disassortativity in complex networks". Physical Review Letters. 104 (10): 108702. arXiv:1002.3286. Bibcode:2010PhRvL.104j8702J. doi:10.1103/PhysRevLett.104.108702. PMID 20366458. S2CID 32880913.
^G. Bagler & S. Sinha (2007). "Assortative mixing in protein contact networks and protein folding kinetics". Bioinformatics. 23 (14): 1760–7. arXiv:0711.2723. doi:10.1093/bioinformatics/btm257. PMID 17519248.
^A. V. Goltsev; S. N. Dorogovtsev & J.F.F. Mendes (2008). "Percolation on correlated networks". Physical Review E. 78 (5): 051105. arXiv:0810.1742. Bibcode:2008PhRvE..78e1105G. doi:10.1103/PhysRevE.78.051105. PMID 19113093. S2CID 76949.
This graph theory-related article is a stub. You can help Wikipedia by expanding it.
assortative, mixing, study, complex, networks, assortative, mixing, assortativity, bias, favor, connections, between, network, nodes, with, similar, characteristics, specific, case, social, networks, assortative, mixing, also, known, homophily, rarer, disassor. In the study of complex networks assortative mixing or assortativity is a bias in favor of connections between network nodes with similar characteristics 1 In the specific case of social networks assortative mixing is also known as homophily The rarer disassortative mixing is a bias in favor of connections between dissimilar nodes In social networks for example individuals commonly choose to associate with others of similar age nationality location race income educational level religion or language as themselves 2 In networks of sexual contact the same biases are observed but mixing is also disassortative by gender most partnerships are between individuals of opposite sex Assortative mixing can have effects for example on the spread of disease if individuals have contact primarily with other members of the same population groups then diseases will spread primarily within those groups Many diseases are indeed known to have differing prevalence in different population groups although other social and behavioral factors affect disease prevalence as well including variations in quality of health care and differing social norms Assortative mixing is also observed in other non social types of networks including biochemical networks in the cell 3 computer and information networks 4 and others Of particular interest is the phenomenon of assortative mixing by degree meaning the tendency of nodes with high degree to connect to others with high degree and similarly for low degree 5 Because degree is itself a topological property of networks this type of assortative mixing gives rise to more complex structural effects than other types Empirically it has been observed that most social networks mix assortatively by degree but most networks of other types mix disassortatively 6 7 although there are exceptions 8 9 See also editAssortative mating Assortativity Complex network Friendship paradox Graph theory Heterophily Homophily Preferential attachmentReferences edit M E J Newman 2003 Mixing patterns in networks Physical Review E 67 2 026126 arXiv cond mat 0209450 Bibcode 2003PhRvE 67b6126N doi 10 1103 PhysRevE 67 026126 PMID 12636767 S2CID 15186389 M McPherson L Smith Lovin amp J M Cook 2001 Birds of a feather Homophily in social networks Annual Review of Sociology 27 415 444 doi 10 1146 annurev soc 27 1 415 S2CID 2341021 S Maslov amp K Sneppen 2002 Specificity and stability in topology of protein networks Science 296 5569 910 913 arXiv cond mat 0205380 Bibcode 2002Sci 296 910M doi 10 1126 science 1065103 PMID 11988575 S2CID 2096348 R Pastor Satorras A Vazquez amp A Vespignani 2001 Dynamical and correlation properties of the Internet Physical Review Letters 87 25 258701 arXiv cond mat 0105161 Bibcode 2001PhRvL 87y8701P doi 10 1103 PhysRevLett 87 258701 PMID 11736611 S2CID 6232586 von Csefalvay Chris 2023 Simple compartmental models Computational Modeling of Infectious Disease Elsevier pp 19 91 doi 10 1016 b978 0 32 395389 4 00011 6 ISBN 978 0 323 95389 4 retrieved 2023 03 03 M E J Newman 2002 Assortative mixing in networks Physical Review Letters 89 20 208701 arXiv cond mat 0205405 Bibcode 2002PhRvL 89t8701N doi 10 1103 PhysRevLett 89 208701 PMID 12443515 S2CID 1574486 S Johnson J J Torres J Marro amp M A Munoz 2010 Entropic origin of disassortativity in complex networks Physical Review Letters 104 10 108702 arXiv 1002 3286 Bibcode 2010PhRvL 104j8702J doi 10 1103 PhysRevLett 104 108702 PMID 20366458 S2CID 32880913 G Bagler amp S Sinha 2007 Assortative mixing in protein contact networks and protein folding kinetics Bioinformatics 23 14 1760 7 arXiv 0711 2723 doi 10 1093 bioinformatics btm257 PMID 17519248 A V Goltsev S N Dorogovtsev amp J F F Mendes 2008 Percolation on correlated networks Physical Review E 78 5 051105 arXiv 0810 1742 Bibcode 2008PhRvE 78e1105G doi 10 1103 PhysRevE 78 051105 PMID 19113093 S2CID 76949 nbsp This graph theory related article is a stub You can help Wikipedia by expanding it vte nbsp This sociology related article is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Assortative mixing amp oldid 1190208239, wikipedia, wiki, book, books, library,
