Journal of Systems Thinking · Volume 6, Issue 1 · 2026-07-10
Is Network Theory Made of DSRP?
A Structural Decomposition of Nodes, Edges, Centrality, Communities, and Network Growth
Derek Cabrera
DOI 10.54120/jost.v26i1.dc6ntsd6 (registration pending)
Abstract
ABSTRACT: Network science is among the most portable representational traditions in modern science, and its primitives are among the fewest. A network is a set of nodes and a set of edges; from that pair the field derives degree, paths, components, clustering, centrality, communities, robustness, and the growth models that generate them. The abstraction descends from a single act performed by Euler in 1735, who solved the Königsberg bridge problem by deleting every measurable property of the city and keeping only which things exist and which are related. DSRP Theory makes a different and more elemental claim: that organization itself can be represented by four recursively entangled Patterns—Distinctions, Systems, Relationships, and Perspectives—composed of eight elemental roles and governed by four structural dynamics. This paper asks whether the constructs of network science introduce any organizational structure not already expressible by DSRP-484. Extending an earlier treatment that decomposed the node and the edge and derived counting heuristics for each Pattern, we execute a pre-registered structural-remainder test against a candidate set of thirty-five constructs drawn exclusively from the field's own vocabulary—Newman's canonical survey, Barabási's textbook, and Euler's founding paper—under the same fixed extraction rule and the same information/organization decision rule applied to system dynamics in the companion run. All thirty-five decompose, with no residual: nodes as Distinctions whose identity is a ledger of what they are and are not; edges as Relationships with action-reaction substructure, themselves reifiable as objects; paths as composed directed Relationships; components as Systems reconstructed from Relationships under a rule-Perspective; centrality as a Perspective on importance; preferential attachment as a reinforcing feedback loop closed through the attaching node's Perspective. The analysis also yields a finding the test was not designed to produce. Six of network science's load-bearing constructs—betweenness centrality, the boundary specification problem, the small-world rewiring effect, the scale-free disproportion, the isolated but contained member, and the hyperedge—work around part-whole and perspectival structure that the formalism's own primitives cannot represent. Every workaround succeeds; none revises the primitives. More broadly, the field’s extensions collectively reconstruct the seven elemental roles Euler’s traversal abstraction left implicit, often in combination, without introducing an organizational primitive outside DSRP-484. The field's signature findings run on organization its grammar denies. One legitimate network construct requiring a fifth irreducible Pattern, a ninth elemental role, or another irreducible structural dynamic would falsify the claim. None was found. Taken with the system dynamics run, ninety-five constructs across two independent traditions decompose to the same four Patterns—never a fifth, never a different four.
© 2026 Journal of Systems Thinking (JoST) · CC BY-NC-ND 4.0
