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Manageable to unmanageable transition in a fractal model of project networks

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  • Vazquez, Alexei

Abstract

Project networks are characterized by power law degree distributions, a property that is known to promote spreading. In contrast, the longest path length of project networks scales algebraically with the network size, which improves the impact of random interventions. Using the duplication-split model of project networks, I provide convincing evidence that project networks are fractal networks. The average distance between nodes scales as 〈d〉∼Nβ with 0<β<1. The average number of nodes 〈N〉d within a distance d scales as 〈N〉d∼dDf, with a fractal dimension Df=1/β>1. Furthermore, I demonstrate that the duplication-split networks are fragile for duplication rates qqc, in spite the mean out-degree diverges with increasing the network size. I conclude the project networks generated by the duplication-split model are manageable for q

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  • Vazquez, Alexei, 2024. "Manageable to unmanageable transition in a fractal model of project networks," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    • Handle: RePEc:eee:chsofr:v:180:y:2024:i:c:s0960077924000791
    DOI: 10.1016/j.chaos.2024.114528
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    References listed on IDEAS

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    1. Christos Ellinas, 2019. "The Domino Effect: An Empirical Exposition of Systemic Risk Across Project Networks," Production and Operations Management, Production and Operations Management Society, vol. 28(1), pages 63-81, January.
    2. Réka Albert & Hawoong Jeong & Albert-László Barabási, 2000. "Error and attack tolerance of complex networks," Nature, Nature, vol. 406(6794), pages 378-382, July.
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