God ($\equiv Elohim$), the first small world network

Abstract

In this paper, the approach of network mapping of words in literary texts is extended to ''textual factors'': the network nodes are defined as ''concepts''; the links are ''community connexions''. Thereafter, the text network properties are investigated along modern statistical physics approaches of networks, thereby relating network topology and algebraic properties, to literary texts contents. As a practical illustration, the first chapter of the Genesis in the Bible is mapped into a 10 node network, as in the Kabbalah approach, mentioning God ($\equiv Elohim$). The characteristics of the network are studied starting from its adjacency matrix, and the corresponding Laplacian matrix. Triplets of nodes are particularly examined in order to emphasize the ''textual (community) connexions'' of each agent "emanation", through the so called clustering coefficients and the overlap index, whence measuring the ''semantic flow'' between the different nodes. It is concluded that this graph is a small-world network, weakly dis-assortative, because its average local clustering coefficient is significantly higher than a random graph constructed on the same vertex set.

arXiv comment1 figure, 3 Tables, 69 references. arXiv admin note: text overlap with arXiv:1004.5245

References in corpus (23)

• Assortative mixing in networks
• Cooperative Game Theory Approaches for Network Partitioning
• The structure of scientific collaboration networks
• Classes of behavior of small-world networks
• Why social networks are different from other types of networks
• Analyzing and Modeling Real-World Phenomena with Complex Networks: A Survey of Applications
• Language Trees and Zipping
• Communities, Knowledge Creation, and Information Diffusion
• Network properties of written human language
• Strong correlations between text quality and complex networks features
• Introduction to Statistical Physics outside Physics
• Generalized Hurst exponent and multifractal function of original and translated texts mapped into frequency and length time series
• Probing the topological properties of complex networks modeling short written texts
• Statistical Dynamics of Religions and Adherents
• Coexistence of opposite opinions in a network with communities
• Correlations between structure and dynamics in complex networks
• Enhancing the spectral gap of networks by node removal
• Linguistic data mining with complex networks: a stylometric-oriented approach
• Effect of religious rules on time of conception in Romania from 1905 to 2001
• Clusters in weighted macroeconomic networks : the EU case. Introducing the overlapping index of GDP/capita fluctuation correlations
• Distinct word length frequencies: distributions and symbol entropies
• Statistical dynamics of religion evolutions
• Organization of networks with tagged nodes and biased links: a priori distinct communities. The case of Intelligent Design Proponents and Darwinian Evolution Defenders