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Conformational properties of regular dendrimers and more generalhyperbranched polymer stars with Gaussian statistics for the spacer chainsbetween branching points are revisited numerically. We investigate the scalingfor asymptotically long chains especially for fractal dimensions $d_f = 3$(marginally compact) and $d_f = 2.5$ (diffusion limited aggregation). Power-lawstars obtained by imposing the number of additional arms per generation arecompared to truly self-similar stars. We discuss effects of weak excludedvolume interactions and sketch the regime where the Gaussian approximationshould hold in dense solutions and melts for sufficiently large spacer chains.

Hyperbranched polymer stars with Gaussian chain statistics revisited