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The Structural Dynamics of Complex Networks.
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
The Structural Dynamics of Complex Networks./
作者:
Jha, Om Kant.
出版者:
Ann Arbor : ProQuest Dissertations & Theses, : 2021,
面頁冊數:
97 p.
附註:
Source: Dissertations Abstracts International, Volume: 82-12, Section: B.
Contained By:
Dissertations Abstracts International82-12B.
標題:
Physics. -
電子資源:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28412798
ISBN:
9798738638459
The Structural Dynamics of Complex Networks.
Jha, Om Kant.
The Structural Dynamics of Complex Networks.
- Ann Arbor : ProQuest Dissertations & Theses, 2021 - 97 p.
Source: Dissertations Abstracts International, Volume: 82-12, Section: B.
Thesis (Ph.D.)--The George Washington University, 2021.
This item is not available from ProQuest Dissertations & Theses.
Real-world networks are far from random. The underlying structure of the fundamental degrees of freedom for a network which are the links between its constituent nodes is intrinsically complex. This research ascribes the scale-free, small-world and transitive properties to the inherent complexity in networks and studies the origination of complexity to obtain various useful results for the Ring-Star and Triad models. The principal determinant for the apparent structure in Ring-Star networks is linked to its optimized functionality, the function of interest being transportation or dissemination across the network. Similarly, the stability of dynamics on three-node motifs is considered for a particular diffusion model with the functional optimality being the stable sub-structures upon which the network grows. Results for a series of optimal rings and two disjoint optimal rings sharing a common hub are obtained. An insufficient but necessary condition on the complex nature of the interaction between the Ring-Star nodes in an evolutionary game-theoretic context is provided. Also, fixed-point stability analysis has been done for a particular diffusion model on Cyclic and Transitive triads. Consequently, a stable triad is treated as a complex sub-structure upon which the network further grows. Finally, several useful results for a binodal SIR model on a dynamical network setting have been derived.
ISBN: 9798738638459Subjects--Topical Terms:
516296
Physics.
Subjects--Index Terms:
Complexity
The Structural Dynamics of Complex Networks.
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Real-world networks are far from random. The underlying structure of the fundamental degrees of freedom for a network which are the links between its constituent nodes is intrinsically complex. This research ascribes the scale-free, small-world and transitive properties to the inherent complexity in networks and studies the origination of complexity to obtain various useful results for the Ring-Star and Triad models. The principal determinant for the apparent structure in Ring-Star networks is linked to its optimized functionality, the function of interest being transportation or dissemination across the network. Similarly, the stability of dynamics on three-node motifs is considered for a particular diffusion model with the functional optimality being the stable sub-structures upon which the network grows. Results for a series of optimal rings and two disjoint optimal rings sharing a common hub are obtained. An insufficient but necessary condition on the complex nature of the interaction between the Ring-Star nodes in an evolutionary game-theoretic context is provided. Also, fixed-point stability analysis has been done for a particular diffusion model on Cyclic and Transitive triads. Consequently, a stable triad is treated as a complex sub-structure upon which the network further grows. Finally, several useful results for a binodal SIR model on a dynamical network setting have been derived.
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http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28412798
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