Vertex-based parameters of hierarchal lattice tube with an application of metric dimension.

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Title: Vertex-based parameters of hierarchal lattice tube with an application of metric dimension.
Authors: Alhulwah, Khawlah1 (AUTHOR) khalhulwah@imamu.edu.sa, Koam, Ali N. A.2 (AUTHOR) akoum@jazanu.edu.sa, Almohanna, Nasreen1 (AUTHOR) nimohanna@imamu.edu.sa, Ahmad, Ali3 (AUTHOR) aimam@jazanu.edu.sa, Azeem, Muhammad4 (AUTHOR) azeemali7009@gmail.com
Source: European Physical Journal E -- Soft Matter. Jan2025, Vol. 48 Issue 1, p1-11. 11p.
Subjects: Controller area network (Computer network), Lattice constants, Metamaterials, Tubes
Abstract: Architectural metamaterials that span different length scales and are either self-similar or dissimilar to one another make up hierarchical lattices. Comparing hierarchical lattices to traditional ones reveals that they offer superior and customizable properties, which allows for a wide variety of material property manipulation and optimization. Each computer network can be represented as a graph, where nodes alternate as vertices and links are edges. The recent advanced topic of resolvability parameters of a graph involves shaping the entire structure to obtain each nodes' specific position. In this article, we computed the metric, fault metric, and partition dimension of the hierarchal lattic tube. The application of the metric dimension is also covered in this paper. Generalized hierarchal lattice tube [ABSTRACT FROM AUTHOR]
Copyright of European Physical Journal E -- Soft Matter is the property of Springer Nature 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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  Data: <searchLink fieldCode="JN" term="%22European+Physical+Journal+E+--+Soft+Matter%22">European Physical Journal E -- Soft Matter</searchLink>. Jan2025, Vol. 48 Issue 1, p1-11. 11p.
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  Data: <searchLink fieldCode="DE" term="%22Controller+area+network+%28Computer+network%29%22">Controller area network (Computer network)</searchLink><br /><searchLink fieldCode="DE" term="%22Lattice+constants%22">Lattice constants</searchLink><br /><searchLink fieldCode="DE" term="%22Metamaterials%22">Metamaterials</searchLink><br /><searchLink fieldCode="DE" term="%22Tubes%22">Tubes</searchLink>
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  Data: Architectural metamaterials that span different length scales and are either self-similar or dissimilar to one another make up hierarchical lattices. Comparing hierarchical lattices to traditional ones reveals that they offer superior and customizable properties, which allows for a wide variety of material property manipulation and optimization. Each computer network can be represented as a graph, where nodes alternate as vertices and links are edges. The recent advanced topic of resolvability parameters of a graph involves shaping the entire structure to obtain each nodes' specific position. In this article, we computed the metric, fault metric, and partition dimension of the hierarchal lattic tube. The application of the metric dimension is also covered in this paper. Generalized hierarchal lattice tube [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of European Physical Journal E -- Soft Matter is the property of Springer Nature 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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        Value: 10.1140/epje/s10189-025-00471-w
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      – Code: eng
        Text: English
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        Type: general
      – SubjectFull: Lattice constants
        Type: general
      – SubjectFull: Metamaterials
        Type: general
      – SubjectFull: Tubes
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              M: 01
              Text: Jan2025
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              Y: 2025
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