Un domaine d'interaction entre les mathématiques et les sciences sociales : les réseaux sociaux

 Access to full text

 Full (PDF)

1. [1] Arabie P., Boorman S.A., Levitt P.R., "Constructing blockmodels how and why", Journal of mathematical psychology, 17(1978), 21-63. Zbl0375.92001
2. [2] Blau P.M., Schwartz J.E., Crossscutting social circles, New York, Academic Press, 1984. 
3. [3] Boissevain J., Mitchell J.C., Network analysis : studies in human interaction, ParisLa Haye, Mouton, 1973. 
4. [4] Boissevain J., "Network analysis : a reappraisal", Current anthropology, 20 (1979), 392-394. 
5. [5] Bonacich P., "Representation for homomorphisms", Social networks, 5(1983), 173-192. 
6. [6] Boorman S.A., White H.C., "Social structure from multiple networks II role structure", AJS, 81 (1976), 1384-1446. 
7. [7] Bougle C., "Qu'est-ce que la sociologie", Revue de Paris, 1897. 
8. [8] Boyd J.P., "Structural similarity, semi groups and idempotents", Social networks,5 (1983), 157-182. MR718090
9. [9] Breiger R.L., Pattison P.E., "Cumulated social roles : the duality of persons and their algebras", Social networks, 8(1986), 215-256. 
10. [10] Burt R.S., Toward a structural theory of action, New York, Academic Press, 1982 
11. [11] Burt R.S., Structure, version 3.0, Technical report, New York, Centre for the Social sciences, Columbia University, 1986. 
12. [12] Degenne A., Flament C., "La notion de régularité dans l'analyse des réseaux sociaux", BMS, 2(1984), 3-16. 
13. [13] Degenne A., "Un langage pour l'étude des réseaux sociaux", in Programme observation du changement social, L'esprit des lieux, Paris, Editions du CNRS, 1986, 291-312. 
14. [14] Doreian P., "Equivalence in a social network", Journal of mathematical sociology, 13(1988), 243-282. Zbl0683.92023MR922619
15. [15] Falmagne J.C., Doignon J.P., "Matching relations and the dimensional structure of social choices", Mathematical social sciences, 3(1984), 211- 229. Zbl0554.90005MR763456
16. [16] Flament C., Théorie des graphes et structure sociale, Paris, Mouton Gauthier-Villars, 1965. Première édition: Application of graph theory to group structure, Englewood Cliffs, Prentice Hall, 1963. Zbl0169.26603MR221966
17. [17] Freeman L., "Turning a profit from mathematics : the case of social networks", The journal of mathematical sociology, 10 (1984), 343-360. MR772210
18. [18] Granovetter M.S., "The strength of weak ties", AJS, 78(1973), 1360- 1380. 
19. [19] Granovetter M.S., "Network sampling: some first steps", AJS, 81(1976), 1287-1303. 
20. [20] Granovetter M.S., "The strength of weak ties : a network theory revisited" in MARSDEN P., LIN N., Social structure and network analysis, Beverly Hill, Sage Publishers, 1982. 
21. [21] Harary F., Norman R.Z., Cartwright D., Structural models, an introduction to the theory of directed graphs, New York, Wiley, 1965. Zbl0139.41503MR184874
22. [22] Heider F., "Attitude and cognitive organisation", Journal of Psychology, 21 (1946), 107-112. 
23. [23] Heider F., "On balance and attribution", in HOLLANDT P.V., LEINHARDT S., Perspective in social network research, New York, Academic Press, 1979. 
24. [24] Johnson J.C., "Social network and innovation adoption: a look at Burt's use of structural equivalence", Social Networks, 8 (1986), 343-369. 
25. [25] Levine J.H., Atlas of world corporate interlocks, Hanover N.H., Worldnet,1985. 
26. [26] Levine J.H., "The methodology of the atlas of corporate interlocks", BMS, 17(1988), 20-58. 
27. [27] Levi Strauss C., Les structures élémentaires de la parenté, Paris, Presses Universitaires de France, 1949. 
28. [28] Lin. N., "Social resources and instrumental action" in MARSDEN P., LIN N. (Eds), Social structure and network analysis, Beverly Hill, Sage Publishers, 1982. 
29. [29] Lin N., Dumin M., "Access to occupations through social ties", Social networks, 8(1986), 365-386. 
30. [30] Lorrain F., Réseaux sociaux et classifications sociales, Paris, Hermann, 1975. Zbl0337.92018MR406581
31. [31] M J.M., "Hypernetworks sampling : duality and differentiation among voluntary organizations", Social networks, 3(1982), 225-249. 
32. [32] Moreno J.L., Fondements de la sociométrie, Paris, Presses universitaires de France, 1954. 
33. [33] Ossowski S., La structure de classe dans la conscience sociale, Paris, Anthropos, 1971. 
34. [34] Parlebas P., Eléments de sociologie du sport, Paris, Presses universitaires de France, 1986. 
35. [35] Riguet J., "Relations binaires, fermetures, correspondances de Galois", CRAS, 1948, 114-159. Zbl0033.00603MR28814
36. [36] Sailer L.D., "Structural equivalence, meaning and definition, computation and applications", Social networks, 1(1978), 73-90. 
37. [37] Simmel G., Philosophie des Geldes, Berlin, Duncker und Humblot, 7eme édition, 1977. Traduction française: Philosophie de l'argent, Paris, Presses Universitaires de France, 1987. 
38. [38] White D.R., Reitz K.P., "Graphs and semigroup homomorphisms on networks of relations", Social networks, 5 (1983), 193-234. MR718091
39. [39] White H.C., An anatomy of kinship, Englewood Cliffs, Prentice Hall, 1963. MR156791
40. [40] White H.C., Boorman S.A., Breiger R.L., "Social structure from multiple networks I, blockmodels of roles and positions", AJS, 81 (1976), 730- 780. 
41. [41] Wolfe A.W., "The rise of network thinking in anthropology ", Social networks, 1 (1978), 53-64. 

1. Jean Calmes, Structures naturelles des demi-groupes et des anneaux réguliers ou involutés