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We consider the complex polymer system, consisting of ring polymer connectedto the $f_1$-branched star-like structure, in good solvent in presence ofstructural inhomogeneities. We assume, that structural defects are correlatedat large distances $x$ according to a power law $~x^{-a}$. Applying the directpolymer renormalization approach, we evaluate the universal sizecharacteristics such as the ratio of the radii of gyration of star-ring andstar topologies, and compare the effective sizes of single branches in complexstructures and isolated polymers of the same total molecular weight. Thenon-trivial impact of disorder on these quantities is analyzed.

Universal size properties of "star-ring" polymer structure in disordered environment