Using the Theory of Network in Finance

Document Type : Original Article


1 Department of Management and Economic, Tehran Science and Research Branch, Islamic Azad University, Tehran, Iran,

2 Department of Management and Economic, Tehran Science and Research Branch, Islamic Azad University,

3 Associate Prof. Department of Industrial Management, Tehran Central Branch, Islamic Azad University, Tehran, Iran,


It is very important for managers, investors and financial policy-makers to detect and analyze factors affecting financial markets to obtain optimal decision and reduce risks. The importance of market analysis and attempt to improve its behavior understanding, has led analysts to use the experiences of other professionals in the fields such as social sciences and mathematics to examine the interaction of market in a different way. This article reviews the use of networks and graph theory to analyze the behavior of social and financial phenomena that in recent years has been expanded. First, the original of this theory that donate from discrete mathematics, is introduced and then some details are given about the characteristics of a network, such as power law property, scale-free networks and minimum spanning tree. The results show that financial markets dynamics have caused the dynamically development of the approaches, methods and models of market analysis, so the effect of investment opportunities on each other was evaluated to identify market behavior


  1. Kheyrkhah A., Rahnamay Roodposhti F. and Afshar Kazemi M.A. (2016), “Identifying Stocks Leader by Complex Network Analysis”, International Conference on Researches in Science & Engineering, Istanbul University, Turkey

  2. Chi K. Tse , Jing L. and Francis C.M.L. (2010), “A Network Perspective of the Stock Market”, Journal of Empirical Finance, 17, pp. 659-667.

  3. Fortunato S. (2010), “Community Detection in Graph”, Physics Reports, 486 (3-5), pp. 75-174.

  4. Raee R., Jafari Gh. And Namaki A. (2010), “Tehran Exchange Stock Analysis with Using Complex Network based on Threshold Approach”, Journal of Accounting and Auditing (Persian), Management Faculty of Tehran University, 17 (62)

  5. Clauset, A., Shalizi, C.R. and Newman, M.E.J. 2009, “Power-law Distributions in Empirical Data”, SIAM Review 51(4), 661-703

  6. Wei-Qiang H., Xin-Tian Z. and Shuang Y. (2009), “A Network Analysis of the Chinese Stock Market”, Physic A, 388, pp. 2956-2964.

  7. Kyungsik K., Soo Yong K. and Deock-Ho H. (2007), “Characteristic of Networks in Financial Markets”, Computer Physics Communications, 177, pp. 184-185.

  8. Ziegler H. 2006, “Visual Exploration and Analysis of Large Amounts of Financial Data”, IEEE-VGTC Symposium on Visualization, Portugal

  9. Boginski, V., Butenko, S. and Pardalos, P.M. 2005, “Mining Market Data: A Network Approach”, Elsevier Ltd

  10. Garlaschelli D., Battiston S., Castri M., Servedio Vito D.P. and Caldarelli G. (2005), “The Scale-Free Topology of Market Investments”, Physics A: Statistical Mechanics and its Applications, V. 350, Issues 2-4, pp. 491-499.

  11. Bonanno G., Caldarelli G., Lillo S., Micciche S., Vandewalle N. and Mantegna R.N. (2004), “Network of Equities in Financial Markets”, The European Physics Journal B, 38, pp. 363-374.

  12. Bonanno G., Caldarelli G., Lillo F and Mantegna R.N. (2003), “Topology of Correlation Based Minimal Spanning trees in Real and Model Markets”, Physical Review, 68, (4).

  13. Onnela J.P., Chakraborti A. and Kaski K. (2003), “Dynamic of Market Correlation, Taxonomy and Portfolio Analysis”, Physical Review, 68, (5).

  14. Bollobas, B. and Riordan, O.  2002, “The Diameter of a Scale-Free Random Graph”, Preprint, Department of Mathematical Sciences, University of Memphis

  15. Bonanno G., Lillo F and Mantegna R.N. (2001), “High-Frequency Cross-Correlation in a Set of Stocks”, Quantitative Finance, 1 (1), pp. 96-104.

  16. Vandewalle N., Brisbois F. and Tordoir X. (2000), “Self-Organized Critical Topology of Stock Markets”, Cornell University,

  17. Mantegna R.N. (1999), “Hierarchical Structure in Financial Markets”, the European Physical Journal B, 11, pp. 193-197