  Polymer chains dissolved in a solvent take random conformations due to large
internal degrees of freedom and are characterized geometrically by their
average shape and size. The diffusive dynamics of such large macromolecules
play an indispensable role in a plethora of engineering applications. The
influence of the size of the polymer chain on its diffusion is well studied,
whereas the same cannot be said for the shape of the polymer chain. In the
present work, the influence of shape on the center-of-mass diffusion of the
star-shaped chains in solution is investigated using Multi-particle Collision
Dynamics. Star-shaped chains of varying degrees of functionality are modeled in
a good solvent at infinite dilution. The radius of gyration($R_g$) of the
star-shaped chains follows a functionality-independent scaling law with the
chain length($N$), $R_g \sim N^{\nu}$, where $\nu \sim 0.627$. The shape of the
polymer chains is calibrated by relative shape anisotropy. Highly anisotropic
star-shaped polymer chains are found to have a faster rate of diffusion along
the translational direction due to a slower rate of rotational diffusion when
the radius of gyration of the polymer chains is maintained constant.
