The analysis of interlocking directors via hypergraphs

Since the dawn of the modern era, the associations that link companies together in the gathering and control networks have been interconnected. At the level of corporate governance, companies are linked by common stock directors, joint shareholders and joint directors (interlocking directors). Although often depicted as atomic, individual, unconnected market actors are actually embedded in such networks. In this study, we examine the network characteristics of interlocking directors of Turkish firms listed in ISO 500 and Borsa Istanbul Stock Exchange. To capture the higher order relations, we use hypergraphs to model interlocking directors and their relations. By introducing a simple graph representation based on the connectedness of agents in a hyper-network, we also give the community structure that is a cluster of densely connected nodes. The results we obtain in this study indicate that companies of Turkish market operating in global scale have central positions in their interlocking director network.Publisher's Versio

The Time Scale Calculus Approach to the Geodesic Problem in 3D Dynamic Data Sets

Geodesics have a fundamental role in the geometry of curved surfaces, as well as in discrete geometry. We present the time scale analogy of the dynamic data sets parameterized by a tensor product of two times scales. The goal of our study is the find the shortest and straightest path between two points on a point cloud like data sets which also involves continuous data

Network-Induced Soft Sets and Stock Market Applications

The intricacy of the financial systems reflected in bilateral ties has piqued the interest of many specialists. In this research, we introduce network-induced soft sets, a novel mathematical model for studying the dynamics of a financial stock market with several orders of interaction. To achieve its intelligent parameterization, this model relies on the bilateral connections between economic actors, who are agents in a financial network, rather than relying on any other single feature of the network itself. Our study also introduces recently developed statistical measures for network-induced soft sets and provides an analysis of their application to the study of financial markets. Findings validate the efficacy of this novel method in assessing the effects of various economic stress periods registered in Borsa Istanbul