On bibliographic networks

Abstract

In the paper we show that the bibliographic data can be transformed into a collection of compatible networks. Using network multiplication different interesting derived networks can be obtained. In defining them an appropriate normalization should be considered. The proposed approach can be applied also to other collections of compatible networks. The networks obtained from the bibliographic data bases can be large (hundreds of thousands of vertices). Fortunately they are sparse and can be still processed relatively fast. We answer the question when the multiplication of sparse networks preserves sparseness. The proposed approaches are illustrated with analyses of collection of networks on the topic "social network" obtained from the Web of Science. The works with large number of co-authors add large complete subgraphs to standard collaboration network thus bluring the collaboration structure. We show that using an appropriate normalization their effect can be neutralized. Among other, we propose a measure of collaborativness of authors with respect to a given bibliography and show how to compute the network of citations between authors and identify citation communities.

References for analyses

Allen, J., Anton, R. F., Babor, T. F., Carbonari, J., Carroll, K. M., Connors, G. J., Cooney, N. L., Del Boca, F. K., Di-Clemente, C. C., Donovan, D., Kadden, R. M., Litt, M., Longabaugh, R., Mattson, M., Miller, W. R., Randall, C. L., Rounsaville, B. J., Rychtarik, R. G., Stout, R. L., Tonigan, J. S., Wirtz, P. W., & Zweben, A. (1998). Matching Alcoholism Treatments to Client Heterogeneity: Project Match Three-Year Drinking Outcomes. Alcoholism-Clinical and Experimental Research, 22(6), 1300–1311.

Doll, L.S., Petersen, L.R., White, C.R., Johnson, E.S., Ward, J.W., Williams, A., Altman, R., Becker, G., Bernarducci, J., Busch, M., Clary, N., Davis, J., Darr, F., Grindon, A., Kleinman, S., Lamberson, H., Lenes, B., Menitove, J., Molinaris, J., Ness, P., Raevsky, C., Holland, P., Shafer, A.W., Sherwood, W., Stevens, C., Vaughan, H., Arnold, E., Donovan, D.E., Kessler, D., Harper, M., Hernandez, J., Ksell, T., Mcelfresh, S., Myers, M.K., Montgomery, A., Nason, M., Sanchez, J., Schulze, G., Shahan, M., Stephenson, S., Theobald, J., & Wilke, D. (1992). Homosexually and nonhomosexually identified men who have sex with men—a behavioral comparison. Journal of Sex Research, 29(1), 1–14.

Kelly, J. A., Murphy, D. A., Sikkema, K. J., McAuliffe, T. L., Roffman, R. A., Solomon, L. J., Winett, R. A., Kalichman, S. C., Heckman, T. G., Perry, M. J., Stevenson, L. Y., Hauth, A. C., Koob, J. J., Morgan, M. G., Norman, A., Lemke, A., Steiner, S., Trenary, B., Flynn, B., Ayotte, D. R., Desiderato, L. L., Lombard, D. N., & Yaffe, D. M. (1997). Randomised, controlled, community-level HIV-prevention intervention for sexual-risk behaviour among homosexual men in US cities. Lancet, 350(9090), 1500–1505. doi:10.1016/S0140-6736(97)07439-4

Magliano, L., Fiorillo, A., Malangone, C., De Rosa, C., Favata, G., Sasso, A., Prezioso, M., Pezzenati, L., Gentile, F., Casale, L., Bondi, E., Test, G. R., Di Lella, M., Biscussi, E., Degl’Innocent, F., Bellini, R., Di Nunzio, R., Matrella, L., Salmeri, R., Cantone, R., Gargiulo, L., Esposito, A., Delcuratolo, V., Giannini, M., Maresca, L., Cavaliere, G., Scandone, B., Folla, M., Raffaeli, M., Innocente, P., Dagianti, F., Lucania, S., Scorsino, A., Bardicchia, F., Cerullo, G., Curreli, R., Miscali, S., Scordato, M., Campo, G., Maj, M.; & Gruppo Di Lavoro (2006). Family psychoeducational interventions for schizophrenia in routine settings: impact on patients’ clinical status and social functioning and on relatives’ burden and resources. Epidemiologia e Psichiatria Sociale, 15(3), 219–27.

Pierce, J. P., Natarajan, L., Caan, B. J., Parker, B. A., Greenberg, E. R., Flatt, S. W., Rock, C. L., Kealey, S., Al-Delaimy, W. K., Bardwell, W. A., Carlson, R. W., Emond, J. A., Faerber, S., Gold, E. B., Hajek, R. A., Hollenbach, K., Jones, L. A., Karanja, N., Madlensky, L., Marshall, J., Newman, V. A., Ritenbaugh, C., Thomson, C. A., Wasserman, L., & Stefanick, M. L. (2007). Influence of a Diet Very High in Vegetables, Fruit, and Fiber and Low in Fat on Prognosis Following Treatment for Breast Cancer. JAMA, 298(3), 289–298. doi:10.1001/jama.298.3.289

Semple, S. J., Patterson, T. L., Temoshok, L. R., McCutchan, J. A., Straits-Troster, K. A., Chandler, J. L., Grant, I., Atkinson, J. H., Velin, R. A., Oldfield, E. C., Wallace, M.R., Malone, J., Spector, S. A., Thal, L., Heaton, R. K., Hesselink, J., Jernigan, T., Wiley, C. A., Olshen, R., Abramson, I., Butters, N., Dupont, R., Zisook, S., Jeste, D., Sieburg, H., & Weinrich, J. D. (1993). Identification of psychological stressors among HIV-positive women. Women & Health, 20(4), 15–36. doi:10.1300/J013v20n04_02

Snijders, T. A. B., Robinson, T., Atkinson, A. C., Riani, M., Gormley, I. C., Murphy, T. B., Sweeting, T., Leslie, D. S., Longford, N. T., Kent, J. T., Lawrance, T., Airoldi, E. M., Besag, J., Blei, D., Fienberg, S. E., Breiger, R., Butts, C. T., Doreian, P., Batagelj, V., Ferligoj, A., Draper, D., van Duijn, M. A. J., Faust, K., Petrescu-Prahova, M., Forster, J. J., Gelman, A., Goodreau, S. M., Greenwood, P. E., Gruenberg, K., Francis, B., Hennig, C., Hoff, P. D., Hunter, D. R., Husmeier, D., Glasbey, C., Krackhardt, D., Kuha, J., Skrondal, A., Lawson, A., Liao, T. F., Mendes, B., Reinert, G., Richardson, S., Lewin, A., Titterington, D. M., Wasserman, S., Werhli, A. V., & Ghazal, P. (2007). Discussion on the paper by Handcock, Raftery and Tantrum. Journal of the Royal Statistical Society: Series A—Statistics in Society, 170(2), 322–354. doi:10.1111/j.1467-985X.2007.00471.x