External Governance Influence in a Healthcare System of Systems: A Graph-Theoretic Structural Assessment

Healthcare delivery fragmentation can be understood as a structural coordination problem within a socio-technical System of Systems, where autonomous but interdependent providers, insurers, suppliers, information systems, support services, and care recipients interact through uneven incentives, information flows, and dependencies. This paper develops a graph-theoretic structural assessment method for examining how an external governance influence may alter the modeled coordination conditions of such a system before empirical evaluation. A synthetic network is constructed to compare a status quo healthcare SoS with a proposed governance-augmented configuration in which an external governing entity introduces governance interfaces among constituent systems while preserving their operational autonomy. The two configurations are assessed using eigenvector centrality, PageRank, Katz centrality, clustering coefficient, HITS hubs and authorities, anchored structural-priority scenarios, and Monte Carlo sensitivity analysis. Results show that the governance-augmented configuration redistributes modeled structural priority rather than uniformly improving or suppressing any category. Providers and Care Recipients gain prominence and inbound recognition, Insurance and Information Communication Technology retain routing roles despite lower inbound prominence, and reduced clustering indicates lower modeled local closure. Scenario scoring and Monte Carlo analysis show that these interpretations depend on policy-weighting assumptions: Providers and Care Recipients have high probabilities of higher structural-priority scores, Insurance remains near neutral, and Information Communication Technology is slightly lower on average. These findings show that external governance can be modeled as an interface-setting mechanism that reshapes coordination structures while preserving constituent autonomy, without claiming that governance alone would resolve healthcare fragmentation or improve outcomes.