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Heider's structural balance theory has proven invaluable in comprehending the dynamics of social groups characterized by both friendly and hostile relationships. Since people's relations are rarely single-faceted, we investigate Heider…

物理与社会 · 物理学 2023-10-09 Krishnadas Mohandas , Krzysztof Suchecki , Janusz A. Holyst

The dynamics of social relations and the possibility of reaching the state of structural balance (Heider balance) under the influence of the temperature modeling the social noise level are discussed for interacting actors occupying nodes of…

物理与社会 · 物理学 2023-07-07 Krzysztof Malarz , Maciej Wołoszyn

The lack of signed random networks in standard balance studies has prompted us to extend the Hamiltonian of the standard balance model. Random networks with tunable parameters are suitable for better understanding the behavior of standard…

物理与社会 · 物理学 2022-09-21 R. Masoumi , F. Oloomi , S. Sajjadi , A. H. Shirazi , G. R. Jafari

Social network extensions of Heider's balance theory have not always been consistent. Structural balance theory primarily focuses on graph partitioning, thereby assuming, homogeneity in balance-driven behavior of nodes. We present a general…

物理与社会 · 物理学 2024-10-15 David Dekker , David Krackhardt , Patrick Doreian , Pavel N. Krivitsky

Heider balance theory provides a fundamental framework for understanding the formation of friendly and hostile relations in social networks. Existing stochastic formulations typically assume a uniform social temperature, implying that all…

物理与社会 · 物理学 2026-05-19 Zhen Li , Yuki Izumida

The Heider balance addresses three-body interactions with the assumption that triads are equally important in the dynamics of the network. In many networks, the relations do not have the same strength so, triads are differently weighted.…

物理与社会 · 物理学 2022-04-19 M. Bagherikalhor , A. Kargaran , A. H. Shirazi , G. R. Jafari

Structural balance in social complex networks has been modeled with two types of triplet interactions. First, the interaction that only considers dynamic role for links or relationships (Heider balance), and second, the interaction that…

物理与社会 · 物理学 2021-05-12 A. Kargaran , G. R. Jafari

The Heider balance (HB) is investigated in a fully connected graph of $N$ nodes. The links are described by a real symmetric array r(i,j), i,j=1,...,N. In a social group, nodes represent group members and links represent relations between…

物理与社会 · 物理学 2009-11-11 Krzysztof Kulakowski , Przemyslaw Gawronski , Piotr Gronek

We study the evolution of a social network with friendly/enmity connections into a balanced state by introducing a dynamical model with an intrinsic randomness, similar to Glauber dynamics in statistical mechanics. We include the…

物理与社会 · 物理学 2019-08-14 Rana Shojaei , Pouya Manshour , Afshin Montakhab

We perform simulations of structural balance evolution on a triangular lattice using the heat-bath algorithm. In contrast to similar approaches---but applied to analysis of complete graphs---the triangular lattice topology successfully…

物理与社会 · 物理学 2020-12-04 Krzysztof Malarz , Maciej Wołoszyn

A critical temperature for a complete signed graph of $N$ agents where time-dependent links polarization tends towards the Heider (structural) balance is found analytically using the heat-bath approach and the mean-field approximation as…

物理与社会 · 物理学 2023-01-03 Krzysztof Malarz , Janusz A. Hołyst

Hierarchy significantly shapes interactions in social structures by organizing individuals or groups based on status, power, or privilege. This study investigates how hierarchy affects structural balance as temperature variations, which…

物理与社会 · 物理学 2025-04-25 Amir Kargaran , Houman Jafari , G. Reza Jafari

The dynamics of social relations and the possibility of reaching the state of structural balance (Heider balance) are discussed for various networks of interacting actors under the influence of the temperature modeling the social noise…

物理与社会 · 物理学 2022-02-02 Maciej Wołoszyn , Krzysztof Malarz

Heider's Balance Theory in signed networks, which consists of friendship or enmity relationships, is a model that relates the type of relationship between two people to the third person. In this model, there is an assumption of the…

物理与社会 · 物理学 2022-05-18 M. H. Hakimi Siboni , A. Kargaran , G. R. Jafari

We analyze the non-equilibrium order-disorder transition of Axelrod's model of social interaction in several complex networks. In a small world network, we find a transition between an ordered homogeneous state and a disordered state. The…

凝聚态物理 · 物理学 2009-11-07 Konstantin Klemm , Victor M. Eguiluz , Raul Toral , Maxi San Miguel

We discuss the Heider model in the presence of an external social field. This field was introduced to break the symmetry between the probabilities of hostile and friendly relationships. We consider the system in the presence of fluctuations…

统计力学 · 物理学 2025-12-05 Zdzisław Burda , Maciej Wołoszyn , Krzysztof Malarz , Krzysztof Kułakowski

Characterizing the in uence of network properties on the global emerging behavior of interacting elements constitutes a central question in many areas, from physical to social sciences. In this article we study a primary model of disordered…

无序系统与神经网络 · 物理学 2013-10-08 Luis Carlos Garcidel Molino , Khashayar Pakdaman , Jonathan Touboul , Gilles Wainrib

The effect of gain and loss of esteem is introduced into the equations of time evolution of social relations, hostile or friendly, in a group of actors. The equations allow for asymmetric relations. We prove that in the presence of this…

In signed networks with simultaneous friendly and hostile interactions, there is a general tendency to a global structural balance, based on the dynamical model of links status. Although the structural balance represents a state of the…

物理与社会 · 物理学 2019-07-24 F. Rabbani , Amir H. Shirazi , G. R. Jafari

The Heider balance is investigated in a chain of actors, with periodic boundary conditions and the neighborhood of range $r$, with $r$ as a parameter. Two model dynamics are applied: a deterministic cellular automaton (Malarz et al, Physica…

物理与社会 · 物理学 2020-12-25 Krzysztof Malarz , Krzysztof Kułakowski
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