FROM UNWEIGHTED TO WEIGHTED GENERALIZED FAREY ORGANIZED TREEAND THE PYRAMID NETWORKS

Yong LI;Jinqing FANG;Qiang LIU

系统科学与复杂性(英文) ›› 2010, Vol. 23 ›› Issue (4) : 681-700.

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系统科学与复杂性(英文) ›› 2010, Vol. 23 ›› Issue (4) : 681-700. DOI: 10.1007/s11424-010-9166-6
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FROM UNWEIGHTED TO WEIGHTED GENERALIZED FAREY ORGANIZED TREEAND THE PYRAMID NETWORKS

    Yong LI, Jinqing FANG, Qiang LIU
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FROM UNWEIGHTED TO WEIGHTED GENERALIZED FAREY ORGANIZED TREEAND THE PYRAMID NETWORKS

    Yong LI, Jinqing FANG, Qiang LIU
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摘要

Generalized Farey tree network (GFTN) and generalized Farey organized pyramid network (GFOPN) model are proposed, and their topological characteristics are studied by both theoretical analysis and numerical simulations, which are in good accordance with each other. Then weighted GFTN is studied using cumulative
distributions of its Farey number value, edge weight, and node strength. These results maybe helpful for future theoretical development of hybrid models.

Abstract

Generalized Farey tree network (GFTN) and generalized Farey organized pyramid network (GFOPN) model are proposed, and their topological characteristics are studied by both theoretical analysis and numerical simulations, which are in good accordance with each other. Then weighted GFTN is studied using cumulative
distributions of its Farey number value, edge weight, and node strength. These results maybe helpful for future theoretical development of hybrid models.

关键词

Generalized Farey organized pyramid network / topological properties / weighted generalized Farey tree network.

Key words

Generalized Farey organized pyramid network / topological properties / weighted generalized Farey tree network.

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Yong LI , Jinqing FANG , Qiang LIU. FROM UNWEIGHTED TO WEIGHTED GENERALIZED FAREY ORGANIZED TREEAND THE PYRAMID NETWORKS. 系统科学与复杂性(英文), 2010, 23(4): 681-700 https://doi.org/10.1007/s11424-010-9166-6
Yong LI , Jinqing FANG , Qiang LIU. FROM UNWEIGHTED TO WEIGHTED GENERALIZED FAREY ORGANIZED TREEAND THE PYRAMID NETWORKS. Journal of Systems Science and Complexity, 2010, 23(4): 681-700 https://doi.org/10.1007/s11424-010-9166-6
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