Research data for "Asymptotic effective conductance of strongly heterogeneous finite networks: critical quotient reduction and the first non-vanishing finite-contrast correction"

This dataset contains the complete research data supporting the manuscript “Asymptotic effective conductance of strongly heterogeneous finite networks: critical quotient reduction and the first non-vanishing finite-contrast correction”. The study develops and numerically validates a graph-specific asymptotic description of two-terminal effective conductance in strongly heterogeneous finite networks. The archive contains five principal data modules. D0 provides seven analytically solvable benchmark networks and 49 graph–contrast evaluations. D1 contains nine controlled networks used to validate the leading exponential order, the critical-quotient prefactor and the leading remainder bound. D2 contains the fixed 400-node, 1178-edge Delaunay graph, electrode definitions, the fixed five-level edge-cost multiset, all 500 complete spatial assignments (589,000 edge-level records), assignment hashes and numerical outputs. D3 contains two continuous edge-cost multisets, all 400 complete assignments (471,200 edge-level records), hashes and numerical results. D4 contains five constructed networks and 300 random exact-spectrum graphs, including graph edge tables, spanning-tree spectra, terminal-separating spanning-two-forest spectra, normalized tree–forest mismatch spectra and graph–contrast results. The archive additionally provides panel-level CSV source data for all main figures and Supplementary Figure S1, numerical-verification records, data dictionaries, provenance information, file inventories and SHA-256 checksums. The dataset is intended to enable independent inspection and verification of the numerical results reported in the associated manuscript. No experimental ZnO measurements are included; the ZnO grain-boundary application discussed in the manuscript is a conditional physical mapping of the finite-network theory.