The study of social networks is a burgeoning research area. However, most existing work is on networks that simply encode whether relationships exist or not. In contrast, relationships in signed networks can be positive (“like”, “trust”) or negative (“dislike”, “distrust”). The theory of social balance shows that signed networks tend to conform to some local patterns that, in turn, induce certa...

abstract the theory of hardship is a situation in which the implementation of contractual obligation, as a result of unpredictable events that are out of control, becomes economically difficult and expensive without being physically impossible and distorts the balance of the contract. in such a situation, the hardship theory is applied to restore the balance of the contract. this matter has var...

Many social networks exhibit some kind of community structure. In particular, in the context of historical research, clustering of different groups into warring or friendly factions can lead to a better understanding of how conflicts arise, and if they could be avoided. In this work we study the crisis that started in 1225 when the Emperor of the Holy Roman Empire, Frederick II entered a confli...

Triadic relationships are accepted to play a key role in the dynamics of social and political networks. Building on insights gleaned from balance theory in social network studies and from Boltzmann-Gibbs statistical physics, we propose a model to quantitatively capture the dynamics of the four types of triadic relationships in a network. Central to our model are the triads' incidence rates and ...

Abstract. In this work we apply the Poincare-Cartan formalism of the Classical Field Theory to study the systems of balance equations (balance systems). We introduce the partial k-jet bundles Jk p (π) of the configurational bundle π : Y → X and study their basic properties: partial Cartan structure, prolongation of vector fields, etc. A constitutive relation C of a balance system BC is realized...

Structural balance theory attempts to model signed networks consisting of positive (friendly) and negative (antagonistic) relations. We consider network creation games for modeling the evolution of signed networks. Recently, Malekzadeh et. al. (KDD 2011) have proposed a network creation game based on structural balance theory of signed networks. In this paper, we introduce a generalized model b...

Introducing RCTM (Research-Centered Teaching Method) by the author showed the method provokes enthusiasm and anxiety, correlated with cognition: Cognition = (0.27) enthusiasm– (0.15) not interested + (0.08) anxiety. “The broaden-and-build theory” (Fredrickson, 2001) posits that positive emotions are useful in several ways. By linking this theory and emotional intelligence theory, it becomes app...

Ayn Rand was a Russian-born American philosopher, novelist, and playwright, whose interpretation of ethical egoism is one of the most important interpretations of this theory.  Rand is a proponent of intellectual egoism, and rationalism is a fundamental element in her ethical theory. This article attempts to review, analyze, and criticize her interpretation of ethical egoism.   Additionally, an...

We study nondeterministic and probabilistic versions of a discrete dynamical system (due to T. Antal, P. L. Krapivsky, and S. Redner [3]) inspired by Heider’s social balance theory. We investigate the convergence time of this dynamics on several classes of graphs. Our contributions include: 1. We point out the connection between the triad dynamics and a generalization of annihilating walks to h...

Evolutionary forces will affect the structure of metabolic networks and their dynamic behaviors. To examine this hypothesis, in this work we investigate the relationship between the complexity of the metabolic glycolytic networks and the stability of the networks in different cells. By deriving the stoichiometrix from the FBA methods, we develop the models for Sce, Dmgr, Dsmi and Pic in fungi. ...