Nodes with the highest control power play an important role at the final level of cooperation in directed networks

Abstract Controllability of complex networks aims to seek the lowest number of nodes (the driver nodes) that can control all the nodes by receiving the input signals. The concept of control centrality is used to determine the power of each node to control the network. The more a node controls the no...

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Autores principales: Ali Ebrahimi, Marzieh Yousefi, Farhad Shahbazi, Mohammad Ali Sheikh Beig Goharrizi, Ali Masoudi-Nejad
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Publicado: Nature Portfolio 2021
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Acceso en línea:https://doaj.org/article/74792a79e5cb4245bb92d8526a1fdc30
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spelling oai:doaj.org-article:74792a79e5cb4245bb92d8526a1fdc302021-12-02T14:34:02ZNodes with the highest control power play an important role at the final level of cooperation in directed networks10.1038/s41598-021-93144-52045-2322https://doaj.org/article/74792a79e5cb4245bb92d8526a1fdc302021-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-93144-5https://doaj.org/toc/2045-2322Abstract Controllability of complex networks aims to seek the lowest number of nodes (the driver nodes) that can control all the nodes by receiving the input signals. The concept of control centrality is used to determine the power of each node to control the network. The more a node controls the nodes through connections in the network, the more it has the power to control. Although the cooperative and free-rider strategies and the final level of cooperation in a population are considered and studied in the public goods game. However, it is yet to determine a solution to indicate the effectiveness of each member in changing the strategies of the other members. In a network, the choice of nodes effective in changing the other nodes’ strategies, as free-riders, will lead to lower cooperation and vice versa. This paper uses simulated and real networks to investigate that the nodes with the highest control power are more effective than the hubs, local, and random nodes in changing the strategies of the other nodes and the final level of cooperation. Results indicate that the nodes with the highest control power as free-riders, compared to the other sets being under consideration, can lead to a lower level of cooperation and are, therefore, more effective in changing the strategies of the other nodes. The obtained results can be considered in the treatment of cancer. So that, destroying the tumoral cells with the highest control power should be a priority as these cells have a higher capability to change the strategies of the other cells from cooperators to free-riders (healthy to tumoral).Ali EbrahimiMarzieh YousefiFarhad ShahbaziMohammad Ali Sheikh Beig GoharriziAli Masoudi-NejadNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-8 (2021)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Ali Ebrahimi
Marzieh Yousefi
Farhad Shahbazi
Mohammad Ali Sheikh Beig Goharrizi
Ali Masoudi-Nejad
Nodes with the highest control power play an important role at the final level of cooperation in directed networks
description Abstract Controllability of complex networks aims to seek the lowest number of nodes (the driver nodes) that can control all the nodes by receiving the input signals. The concept of control centrality is used to determine the power of each node to control the network. The more a node controls the nodes through connections in the network, the more it has the power to control. Although the cooperative and free-rider strategies and the final level of cooperation in a population are considered and studied in the public goods game. However, it is yet to determine a solution to indicate the effectiveness of each member in changing the strategies of the other members. In a network, the choice of nodes effective in changing the other nodes’ strategies, as free-riders, will lead to lower cooperation and vice versa. This paper uses simulated and real networks to investigate that the nodes with the highest control power are more effective than the hubs, local, and random nodes in changing the strategies of the other nodes and the final level of cooperation. Results indicate that the nodes with the highest control power as free-riders, compared to the other sets being under consideration, can lead to a lower level of cooperation and are, therefore, more effective in changing the strategies of the other nodes. The obtained results can be considered in the treatment of cancer. So that, destroying the tumoral cells with the highest control power should be a priority as these cells have a higher capability to change the strategies of the other cells from cooperators to free-riders (healthy to tumoral).
format article
author Ali Ebrahimi
Marzieh Yousefi
Farhad Shahbazi
Mohammad Ali Sheikh Beig Goharrizi
Ali Masoudi-Nejad
author_facet Ali Ebrahimi
Marzieh Yousefi
Farhad Shahbazi
Mohammad Ali Sheikh Beig Goharrizi
Ali Masoudi-Nejad
author_sort Ali Ebrahimi
title Nodes with the highest control power play an important role at the final level of cooperation in directed networks
title_short Nodes with the highest control power play an important role at the final level of cooperation in directed networks
title_full Nodes with the highest control power play an important role at the final level of cooperation in directed networks
title_fullStr Nodes with the highest control power play an important role at the final level of cooperation in directed networks
title_full_unstemmed Nodes with the highest control power play an important role at the final level of cooperation in directed networks
title_sort nodes with the highest control power play an important role at the final level of cooperation in directed networks
publisher Nature Portfolio
publishDate 2021
url https://doaj.org/article/74792a79e5cb4245bb92d8526a1fdc30
work_keys_str_mv AT aliebrahimi nodeswiththehighestcontrolpowerplayanimportantroleatthefinallevelofcooperationindirectednetworks
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AT farhadshahbazi nodeswiththehighestcontrolpowerplayanimportantroleatthefinallevelofcooperationindirectednetworks
AT mohammadalisheikhbeiggoharrizi nodeswiththehighestcontrolpowerplayanimportantroleatthefinallevelofcooperationindirectednetworks
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