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Table 1.

List of Countries, Regions, and Index Symbol.

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Fig 1.

Correlation matrices from 2017 to 2022.

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Fig 2.

Filtered graphs for each year.

Colors represent the region.

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Fig 3.

Average correlation , maximum eigenvalue (), Euler characteristic (), and average Ricci curvature () from 2017 to 2022.

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Fig 4.

Scatter plots illustrating the relationships between topological, geometric, and spectral measures across different years.

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Fig 5.

Temporal evolution of the maximum eigenvalue (, blue), Euler characteristic (, red), and average Ricci curvature (, black) using sliding windows of (A) and (B) trading days with a shift of days.

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Fig 6.

Temporal evolution of the average Ollivier–Ricci curvature and geometric network entropy ( trading days).

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Fig 7.

Temporal evolution of the largest eigenvalue and spectral entropy ().

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Fig 8.

3D scatter plot.

Relationship between the maximum eigenvalue (), Euler characteristic (), and average Ricci curvature () across market periods.

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Fig 9.

2D projections between the maximum eigenvalue (), Euler characteristic (), and average Ricci curvature ().

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Fig 10.

Temporal evolution of the largest eigenvalue and spectral entropy computed using a sliding window of trading days and a shift of days over the extended period 2017–2024.

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