Dynamical process on growing geometrical network based on modular group
Many network models have been proposed and constructed to mimic the underlying features of complex networks. Studying the dynamical process of a network gives a good platform to understand how the underlying geometrical and structural features influence various transport properties. In this study, t...
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Academy of Sciences Malaysia
2019
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Online Access: | http://psasir.upm.edu.my/id/eprint/79464/1/Dynamical%20process%20on%20growing%20geometrical%20network%20based%20on%20modular%20group.pdf http://psasir.upm.edu.my/id/eprint/79464/ https://www.akademisains.gov.my/asmsj/mdocs-posts/st5334/ |
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my.upm.eprints.794642021-05-25T09:42:53Z http://psasir.upm.edu.my/id/eprint/79464/ Dynamical process on growing geometrical network based on modular group Samsul Kamal, Nurul Nasha Amalina Chan, Kar Tim Mohd Shah, Nurisya Zainuddin, Hishamuddin Many network models have been proposed and constructed to mimic the underlying features of complex networks. Studying the dynamical process of a network gives a good platform to understand how the underlying geometrical and structural features influence various transport properties. In this study, the dynamical process on the network is described by using random walks. From this process, some of the random walk transport properties are determined such as relaxation time, mean first passage time (MFPT), random walk centrality (RWC), average trapping time (ATT) and global mean first passage time (GMFPT). We find that GMFPT grows exponentially when the network grows. This is mainly due to some central nodes that have high RWC, which tends to attract the random walker more compared to a node with a lower RWC. This study plays an important role in determining the performance of the network. Academy of Sciences Malaysia 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/79464/1/Dynamical%20process%20on%20growing%20geometrical%20network%20based%20on%20modular%20group.pdf Samsul Kamal, Nurul Nasha Amalina and Chan, Kar Tim and Mohd Shah, Nurisya and Zainuddin, Hishamuddin (2019) Dynamical process on growing geometrical network based on modular group. ASM Science Journal, 12 (spec. 1). pp. 276-2784. ISSN 1823-6782 https://www.akademisains.gov.my/asmsj/mdocs-posts/st5334/ |
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Many network models have been proposed and constructed to mimic the underlying features of complex networks. Studying the dynamical process of a network gives a good platform to understand how the underlying geometrical and structural features influence various transport properties. In this study, the dynamical process on the network is described by using random walks. From this process, some of the random walk transport properties are determined such as relaxation time, mean first passage time (MFPT), random walk centrality (RWC), average trapping time (ATT) and global mean first passage time (GMFPT). We find that GMFPT grows exponentially when the network grows. This is mainly due to some central nodes that have high RWC, which tends to attract the random walker more compared to a node with a lower RWC. This study plays an important role in determining the performance of the network. |
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Article |
author |
Samsul Kamal, Nurul Nasha Amalina Chan, Kar Tim Mohd Shah, Nurisya Zainuddin, Hishamuddin |
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Samsul Kamal, Nurul Nasha Amalina Chan, Kar Tim Mohd Shah, Nurisya Zainuddin, Hishamuddin Dynamical process on growing geometrical network based on modular group |
author_facet |
Samsul Kamal, Nurul Nasha Amalina Chan, Kar Tim Mohd Shah, Nurisya Zainuddin, Hishamuddin |
author_sort |
Samsul Kamal, Nurul Nasha Amalina |
title |
Dynamical process on growing geometrical network based on modular group |
title_short |
Dynamical process on growing geometrical network based on modular group |
title_full |
Dynamical process on growing geometrical network based on modular group |
title_fullStr |
Dynamical process on growing geometrical network based on modular group |
title_full_unstemmed |
Dynamical process on growing geometrical network based on modular group |
title_sort |
dynamical process on growing geometrical network based on modular group |
publisher |
Academy of Sciences Malaysia |
publishDate |
2019 |
url |
http://psasir.upm.edu.my/id/eprint/79464/1/Dynamical%20process%20on%20growing%20geometrical%20network%20based%20on%20modular%20group.pdf http://psasir.upm.edu.my/id/eprint/79464/ https://www.akademisains.gov.my/asmsj/mdocs-posts/st5334/ |
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