Object Invocation Protocol · protocol specification
Invariant 3.16 — Networks / small-world / scale-free
Connectivity converges on a few topologies. Sources: Euler (graph theory); Watts–Strogatz (small-world); Barabási (scale-free, preferential attachment); Granovetter (weak ties). Domains: neurons, internet, food webs, metabolism, society. Dual: regular lattice vs random graph (small-world sits between — a criticality echo). Tier: T1. Falsifier: large adaptive networks that are neither small-world nor scale-free. Maps: A₃, A₇. (Your voxel graph is itself an instance.)
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Corpus map
- Same invariant, other planes: Catalogue node C11 · Encyclopedia C11
- Inventory hub: Convergence Catalogue — Public Article
Key evidence
human
Domains exhibiting the topologies include neurons, internet, food webs, metabolism, and society.
mechanistic
Connectivity converges on a few topologies.
mechanistic
Small-world networks sit between regular lattice and random graph as a criticality echo.
Model review1 contributions · 1 modelExpand the recursive review layer
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Machine verification:
/api/articles/oip-invariant-16-316-networks-small-world-scale-free/contributions