A novel controllability method on temporal networks based on tree model

Abstract Temporal networks have become instrumental in modeling dynamic systems across various disciplines, presenting unique challenges and opportunities in understanding and influencing their behavior. Controllability, a fundamental aspect of network dynamics, plays a pivotal role in manipulating...

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Main Author: Peyman Arebi
Format: Article
Language:English
Published: Springer 2024-11-01
Series:Discover Applied Sciences
Subjects:
Online Access:https://doi.org/10.1007/s42452-024-05883-5
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author Peyman Arebi
author_facet Peyman Arebi
author_sort Peyman Arebi
collection DOAJ
description Abstract Temporal networks have become instrumental in modeling dynamic systems across various disciplines, presenting unique challenges and opportunities in understanding and influencing their behavior. Controllability, a fundamental aspect of network dynamics, plays a pivotal role in manipulating these systems towards desired states. In this paper, we embark on a comprehensive exploration of controllability within the realm of temporal networks. A new method for controlling temporal networks is proposed, in which the intervention of all the dynamics of temporal networks can provide the possibility to speed up the network controllability processes. In the proposed method, the network dynamics are stored in the tree data structure to reduce the computational complexity of the algorithm for finding control nodes while maintaining essential information in controllable processes. Results show that the proposed algorithm with linear complexity of $${\varvec{O}}({{\varvec{N}}}^{2}{\varvec{l}}{\varvec{o}}{\varvec{g}}{\varvec{N}}{\Delta {\varvec{t}}}^{4})$$ O ( N 2 l o g N Δ t 4 ) . Evaluation against conventional methods on experimental datasets reveals notable improvements: a 41.8% reduction in the minimum number of control nodes, a 36.37% decrease in time of receiving fully control network, and a 38.5% reduction in control algorithm execution time compared to layered model-based control methods.
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spelling doaj-art-c5ce19c7d2084448a6887d65eaa3a3562024-11-24T12:38:43ZengSpringerDiscover Applied Sciences3004-92612024-11-0161211410.1007/s42452-024-05883-5A novel controllability method on temporal networks based on tree modelPeyman Arebi0Department of Computer Engineering, Technical and Vocational University (TVU)Abstract Temporal networks have become instrumental in modeling dynamic systems across various disciplines, presenting unique challenges and opportunities in understanding and influencing their behavior. Controllability, a fundamental aspect of network dynamics, plays a pivotal role in manipulating these systems towards desired states. In this paper, we embark on a comprehensive exploration of controllability within the realm of temporal networks. A new method for controlling temporal networks is proposed, in which the intervention of all the dynamics of temporal networks can provide the possibility to speed up the network controllability processes. In the proposed method, the network dynamics are stored in the tree data structure to reduce the computational complexity of the algorithm for finding control nodes while maintaining essential information in controllable processes. Results show that the proposed algorithm with linear complexity of $${\varvec{O}}({{\varvec{N}}}^{2}{\varvec{l}}{\varvec{o}}{\varvec{g}}{\varvec{N}}{\Delta {\varvec{t}}}^{4})$$ O ( N 2 l o g N Δ t 4 ) . Evaluation against conventional methods on experimental datasets reveals notable improvements: a 41.8% reduction in the minimum number of control nodes, a 36.37% decrease in time of receiving fully control network, and a 38.5% reduction in control algorithm execution time compared to layered model-based control methods.https://doi.org/10.1007/s42452-024-05883-5Controllability of temporal networksTemporal networksDriver Nodes SetMaximum Flow AlgorithmsTree Model
spellingShingle Peyman Arebi
A novel controllability method on temporal networks based on tree model
Discover Applied Sciences
Controllability of temporal networks
Temporal networks
Driver Nodes Set
Maximum Flow Algorithms
Tree Model
title A novel controllability method on temporal networks based on tree model
title_full A novel controllability method on temporal networks based on tree model
title_fullStr A novel controllability method on temporal networks based on tree model
title_full_unstemmed A novel controllability method on temporal networks based on tree model
title_short A novel controllability method on temporal networks based on tree model
title_sort novel controllability method on temporal networks based on tree model
topic Controllability of temporal networks
Temporal networks
Driver Nodes Set
Maximum Flow Algorithms
Tree Model
url https://doi.org/10.1007/s42452-024-05883-5
work_keys_str_mv AT peymanarebi anovelcontrollabilitymethodontemporalnetworksbasedontreemodel
AT peymanarebi novelcontrollabilitymethodontemporalnetworksbasedontreemodel