Home / Current Issue / Paper 1722315
Graph Analytics for Social Networks
Subject area: Science,Engineering and Technology · Area of research: Graph Theory
DOI: 10.64388/IREV10I2-1722315
Abstract
Social networks generate vast amounts of relational data whose value lies not in individual data points but in the structure of connections among them. Graph analytics offers a mathematically grounded toolkit for uncovering this structure, ranging from simple degree counts to sophisticated community-detection and influence-propagation models. This paper presents a self-contained treatment of graph analytics as applied to social networks. We review the foundational graph-theoretic concepts underlying social network analysis, survey the principal families of graph analytics methods, and examine community detection and influence analysis in depth. To ground the discussion empirically, we conduct a case study on Zachary's Karate Club network and a synthetically generated scale-free network, computing centrality measures, detecting communities using the Louvain algorithm, and analysing degree-distribution behavior. The Louvain method partitions the Karate Club network into four communities with a modularity of 0.4266, closely matching the network's known factional split, while the synthetic network exhibits an approximate power-law degree distribution with exponent 1.76, consistent with preferential-attachment growth. We conclude with a discussion of open challenges and directions for future research, including dynamic graph analytics, scalability to billion-edge networks, and privacy-preserving analysis.
Keywords
graph theory, social network analysis, community detection, Louvain algorithm, centrality, influence analysis, scale-free networks
References
[1] Newman, M. E. J. Networks: An Introduction. Oxford University Press, 2010.
[2] Wasserman, S., and Faust, K. Social Network Analysis: Methods and Applications. Cambridge University Press, 1994.
[3] Zachary, W. W. "An Information Flow Model for Conflict and Fission in Small Groups." Journal of Anthropological Research, vol. 33, no. 4, 1977, pp. 452–473.
[4] Blondel, V. D., Guillaume, J.-L., Lambiotte, R., and Lefebvre, E. "Fast Unfolding of Communities in Large Networks." Journal of Statistical Mechanics: Theory and Experiment, 2008.
[5] Girvan, M., and Newman, M. E. J. "Community Structure in Social and Biological Networks." Proceedings of the National Academy of Sciences, vol. 99, no. 12, 2002, pp. 7821–7826.
[6] Barabási, A.-L., and Albert, R. "Emergence of Scaling in Random Networks." Science, vol. 286, no. 5439, 1999, pp. 509–512.
[7] Freeman, L. C. "A Set of Measures of Centrality Based on Betweenness." Sociometry, vol. 40, no. 1, 1977, pp. 35–41.
[8] Kempe, D., Kleinberg, J., and Tardos, É. "Maximizing the Spread of Influence Through a Social Network." Proceedings of the 9th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, 2003, pp. 137–146.
[9] Perozzi, B., Al-Rfou, R., and Skiena, S. "DeepWalk: Online Learning of Social Representations." Proceedings of the 20th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, 2014, pp. 701–710.
[10] Grover, A., and Leskovec, J. "node2vec: Scalable Feature Learning for Networks." Proceedings of the 22nd ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, 2016, pp. 855–864.
[11] Kipf, T. N., and Welling, M. "Semi-Supervised Classification with Graph Convolutional Networks." International Conference on Learning Representations, 2017.
[12] Watts, D. J., and Strogatz, S. H. "Collective Dynamics of 'Small-World' Networks." Nature, vol. 393, no. 6684, 1998, pp. 440–442.
[13] Hagberg, A. A., Schult, D. A., and Swart, P. J. "Exploring Network Structure, Dynamics, and Function Using NetworkX." Proceedings of the 7th Python in Science Conference (SciPy), 2008, pp. 11–15.
How to cite this paper
@article{1722315,
author = {Sachin Sharma},
title = {Graph Analytics for Social Networks},
journal = {Iconic Research And Engineering Journals},
year = {2026},
volume = {10},
number = {2},
pages = {1437-1445},
issn = {2456-8880},
url = {https://www.irejournals.com/formatedpaper/1722315.pdf},
abstract = {Social networks generate vast amounts of relational data whose value lies not in individual data points but in the structure of connections among them. Graph analytics offers a mathematically grounded toolkit for uncovering this structure, ranging from simple degree counts to sophisticated community-detection and influence-propagation models. This paper presents a self-contained treatment of graph analytics as applied to social networks. We review the foundational graph-theoretic concepts underlying social network analysis, survey the principal families of graph analytics methods, and examine community detection and influence analysis in depth. To ground the discussion empirically, we conduct a case study on Zachary's Karate Club network and a synthetically generated scale-free network, computing centrality measures, detecting communities using the Louvain algorithm, and analysing degree-distribution behavior. The Louvain method partitions the Karate Club network into four communities with a modularity of 0.4266, closely matching the network's known factional split, while the synthetic network exhibits an approximate power-law degree distribution with exponent 1.76, consistent with preferential-attachment growth. We conclude with a discussion of open challenges and directions for future research, including dynamic graph analytics, scalability to billion-edge networks, and privacy-preserving analysis.},
keywords = {graph theory, social network analysis, community detection, Louvain algorithm, centrality, influence analysis, scale-free networks},
month = {August},
doi = {https://doi.org/10.64388/IREV10I2-1722315}
}