This dataset contains the first-generation (1st-gen) and second-generation (2nd-gen) citation relationships to a set of focal papers. The 1st-gen citation relationships are the instances of one paper citing a focal paper. These citing papers are called "1st-gen citations." The 2nd-gen citation relationships are the instances that a paper cites a 1st-gen citation. The citing paper in the 2nd-gen citation relationship is a second-generation (2nd-gen) citation. When a 2nd-gen citation is also a 1st-gen citation, it creates a transitive closure with the focal paper.

Each focal paper has an abbreviation, which can be found below. The 1st-gen and 2nd-gen citation relationships were extracted from the Curated Open Citation Dataset (Korobskiy & Chacko, 2023), which is derived from a copy of COCI, the OpenCitations Index of Crossref Open DOI-to-DOI Citations, downloaded on May 6, 2023. Scripts used to collect this dataset can be found at https://github.com/yuanxiesa/transitive_closure_study. Each focal paper currently has two files: {abbreviation}_1st.csv contains the 1st-gen citation relationships; {abbreviation}_2nd.csv contains the 2nd-gen citation relationships.

Focal paper abbreviation == "louvain": Blondel, V. D., Guillaume, J.-L., Lambiotte, R., & Lefebvre, E. (2008). Fast unfolding of communities in large networks. Journal of Statistical Mechanics: Theory and Experiment, 2008(10), P10008. https://doi.org/10.1088/1742-5468/2008/10/P10008

Focal paper abbreviation == "lp": Raghavan, U. N., Albert, R., & Kumara, S. (2007). Near linear time algorithm to detect community structures in large-scale networks. Physical Review E, 76(3), 036106. https://doi.org/10.1103/PhysRevE.76.036106

Focal paper abbreviation == "gn": Newman, M. E. J., & Girvan, M. (2004). Finding and evaluating community structure in networks. Physical Review E, 69(2), 026113. https://doi.org/10.1103/PhysRevE.69.026113