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

Degenne, Alain

Mathématiques informatique et sciences humaines, Tome 104 (1988), pp. 5-18.

[1] Arabie P., Boorman S.A., Levitt P.R., "Constructing blockmodels how and why", Journal of mathematical psychology, 17(1978), 21-63. | Zbl

[2] Blau P.M., Schwartz J.E., Crossscutting social circles, New York, Academic Press, 1984.

[3] Boissevain J., Mitchell J.C., Network analysis : studies in human interaction, Paris La Haye, Mouton, 1973.

[4] Boissevain J., "Network analysis : a reappraisal", Current anthropology, 20 (1979), 392-394.

[5] Bonacich P., "Representation for homomorphisms", Social networks, 5(1983), 173-192.

[6] Boorman S.A., White H.C., "Social structure from multiple networks II role structure", AJS, 81 (1976), 1384-1446.

[7] Bougle C., "Qu'est-ce que la sociologie", Revue de Paris, 1897.

[8] Boyd J.P., "Structural similarity, semi groups and idempotents", Social networks,5 (1983), 157-182. | MR

[9] Breiger R.L., Pattison P.E., "Cumulated social roles : the duality of persons and their algebras", Social networks, 8(1986), 215-256.

[10] Burt R.S., Toward a structural theory of action, New York, Academic Press, 1982

[11] Burt R.S., Structure, version 3.0, Technical report, New York, Centre for the Social sciences, Columbia University, 1986.

[12] Degenne A., Flament C., "La notion de régularité dans l'analyse des réseaux sociaux", BMS, 2(1984), 3-16.

[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] Doreian P., "Equivalence in a social network", Journal of mathematical sociology, 13(1988), 243-282. | MR | Zbl

[15] Falmagne J.C., Doignon J.P., "Matching relations and the dimensional structure of social choices", Mathematical social sciences, 3(1984), 211- 229. | MR | Zbl

[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. | MR | Zbl

[17] Freeman L., "Turning a profit from mathematics : the case of social networks", The journal of mathematical sociology, 10 (1984), 343-360. | MR

[18] Granovetter M.S., "The strength of weak ties", AJS, 78(1973), 1360- 1380.

[19] Granovetter M.S., "Network sampling: some first steps", AJS, 81(1976), 1287-1303.

[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] Harary F., Norman R.Z., Cartwright D., Structural models, an introduction to the theory of directed graphs, New York, Wiley, 1965. | MR | Zbl

[22] Heider F., "Attitude and cognitive organisation", Journal of Psychology, 21 (1946), 107-112.

[23] Heider F., "On balance and attribution", in HOLLANDT P.V., LEINHARDT S., Perspective in social network research, New York, Academic Press, 1979.

[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] Levine J.H., Atlas of world corporate interlocks, Hanover N.H., Worldnet,1985.

[26] Levine J.H., "The methodology of the atlas of corporate interlocks", BMS, 17(1988), 20-58.

[27] Levi Strauss C., Les structures élémentaires de la parenté, Paris, Presses Universitaires de France, 1949.

[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] Lin N., Dumin M., "Access to occupations through social ties", Social networks, 8(1986), 365-386.

[30] Lorrain F., Réseaux sociaux et classifications sociales, Paris, Hermann, 1975. | MR | Zbl

[31] M J.M., "Hypernetworks sampling : duality and differentiation among voluntary organizations", Social networks, 3(1982), 225-249.

[32] Moreno J.L., Fondements de la sociométrie, Paris, Presses universitaires de France, 1954.

[33] Ossowski S., La structure de classe dans la conscience sociale, Paris, Anthropos, 1971.

[34] Parlebas P., Eléments de sociologie du sport, Paris, Presses universitaires de France, 1986.

[35] Riguet J., "Relations binaires, fermetures, correspondances de Galois", CRAS, 1948, 114-159. | MR

[36] Sailer L.D., "Structural equivalence, meaning and definition, computation and applications", Social networks, 1(1978), 73-90.

[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] White D.R., Reitz K.P., "Graphs and semigroup homomorphisms on networks of relations", Social networks, 5 (1983), 193-234. | MR

[39] White H.C., An anatomy of kinship, Englewood Cliffs, Prentice Hall, 1963. | MR

[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] Wolfe A.W., "The rise of network thinking in anthropology ", Social networks, 1 (1978), 53-64.