A new strategy to generate scale free networks by capturing the information processing mechanism in a specific family of elementary cellular automata.

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Title: A new strategy to generate scale free networks by capturing the information processing mechanism in a specific family of elementary cellular automata.
Authors: Nayyeri, Amirahmad1 (AUTHOR), Mansoori, Eghbal G.1 (AUTHOR), Taheri, Mohammad1 (AUTHOR) motaheri@shirazu.ac.ir
Source: International Journal of Parallel, Emergent & Distributed Systems. Jan2026, Vol. 41 Issue 1, p34-51. 18p.
Subjects: Scale-free network (Statistical physics), Cellular automata, Distribution (Probability theory), Information processing, System dynamics, Statistical correlation, Maximum entropy method
Abstract: The study of complex networks has garnered significant attention in recent years due to their ability to visualize intricate systems. However, understanding the fundamental structures underlying their formation dynamics has remained elusive due to the enigmatic interplay between local and global properties. A hallmark of real-world complex networks is the presence of power-law distributions, which account for many of their intriguing characteristics. Preferential attachment has emerged as a common mechanism for generating scale-free networks. This research introduces a novel strategy for creating scale-free networks by capturing the spatiotemporal properties of an Elementary Cellular Automata trajectory. The process has been validated through the analysis of information-theoretic measures such as correlation information and entropy rate. Our findings demonstrate how the system's sub-linear movement towards entropy reduction and increased correlations leads to state space localization, manifesting as a power-law distribution in the resulting network. The proposed method implicitly offers various forms of preferential attachment (sub-linear, linear, and super-linear) based on the sampling time pattern, circumventing the need for the first-mover advantage to generate hubs and requiring no global system information. We evaluate the resulting network using well-established criteria. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Parallel, Emergent & Distributed Systems is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
An: 190575063
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  Label: Title
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  Data: A new strategy to generate scale free networks by capturing the information processing mechanism in a specific family of elementary cellular automata.
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  Data: <searchLink fieldCode="AR" term="%22Nayyeri%2C+Amirahmad%22">Nayyeri, Amirahmad</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Mansoori%2C+Eghbal+G%2E%22">Mansoori, Eghbal G.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Taheri%2C+Mohammad%22">Taheri, Mohammad</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> motaheri@shirazu.ac.ir</i>
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Parallel%2C+Emergent+%26+Distributed+Systems%22">International Journal of Parallel, Emergent & Distributed Systems</searchLink>. Jan2026, Vol. 41 Issue 1, p34-51. 18p.
– Name: Subject
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  Data: <searchLink fieldCode="DE" term="%22Scale-free+network+%28Statistical+physics%29%22">Scale-free network (Statistical physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Cellular+automata%22">Cellular automata</searchLink><br /><searchLink fieldCode="DE" term="%22Distribution+%28Probability+theory%29%22">Distribution (Probability theory)</searchLink><br /><searchLink fieldCode="DE" term="%22Information+processing%22">Information processing</searchLink><br /><searchLink fieldCode="DE" term="%22System+dynamics%22">System dynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Statistical+correlation%22">Statistical correlation</searchLink><br /><searchLink fieldCode="DE" term="%22Maximum+entropy+method%22">Maximum entropy method</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The study of complex networks has garnered significant attention in recent years due to their ability to visualize intricate systems. However, understanding the fundamental structures underlying their formation dynamics has remained elusive due to the enigmatic interplay between local and global properties. A hallmark of real-world complex networks is the presence of power-law distributions, which account for many of their intriguing characteristics. Preferential attachment has emerged as a common mechanism for generating scale-free networks. This research introduces a novel strategy for creating scale-free networks by capturing the spatiotemporal properties of an Elementary Cellular Automata trajectory. The process has been validated through the analysis of information-theoretic measures such as correlation information and entropy rate. Our findings demonstrate how the system's sub-linear movement towards entropy reduction and increased correlations leads to state space localization, manifesting as a power-law distribution in the resulting network. The proposed method implicitly offers various forms of preferential attachment (sub-linear, linear, and super-linear) based on the sampling time pattern, circumventing the need for the first-mover advantage to generate hubs and requiring no global system information. We evaluate the resulting network using well-established criteria. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Parallel, Emergent & Distributed Systems is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1080/17445760.2024.2427194
    Languages:
      – Code: eng
        Text: English
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        PageCount: 18
        StartPage: 34
    Subjects:
      – SubjectFull: Scale-free network (Statistical physics)
        Type: general
      – SubjectFull: Cellular automata
        Type: general
      – SubjectFull: Distribution (Probability theory)
        Type: general
      – SubjectFull: Information processing
        Type: general
      – SubjectFull: System dynamics
        Type: general
      – SubjectFull: Statistical correlation
        Type: general
      – SubjectFull: Maximum entropy method
        Type: general
    Titles:
      – TitleFull: A new strategy to generate scale free networks by capturing the information processing mechanism in a specific family of elementary cellular automata.
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      – PersonEntity:
          Name:
            NameFull: Nayyeri, Amirahmad
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          Name:
            NameFull: Mansoori, Eghbal G.
      – PersonEntity:
          Name:
            NameFull: Taheri, Mohammad
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            – D: 01
              M: 01
              Text: Jan2026
              Type: published
              Y: 2026
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              Value: 41
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            – TitleFull: International Journal of Parallel, Emergent & Distributed Systems
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