Computational materials for "Gramian Energy Bounds and Coupling–Actuation Geometry in Interconnected Networks"

Computational materials supporting the manuscript “Gramian Energy Bounds and Coupling–Actuation Geometry in Interconnected Networks.” This dataset contains the numerical data, computational programs, parameter specifications, and figure-generation materials underlying the analyses reported in the manuscript. The materials include realisation-level Gramian evaluations for weighted two-layer networks, actuator-budget experiments, degree-independent actuator comparisons, coupling–actuation geometry analyses, repeated-measures and paired statistical analyses, and the exact six-state polynomial benchmark used to verify the analytical convergence relation. The archive includes the numerical data underlying the reported figures and summary statistics, Python source code for the computational analyses and figure generation, software-environment information, model and simulation parameters, and SHA-256 checksums for integrity verification. The computational experiments use a fixed master random seed and deterministic sub-seeds to support reproducibility. Detailed instructions for reproducing the analyses are provided in the included README file. Associated manuscript: Rasoul Rajaei and Yousef Jamali, “Gramian Energy Bounds and Coupling–Actuation Geometry in Interconnected Networks.”