tion of :math:`\\theta \in [0,2\pi]` . This function is defined by :math:`g_\omega(v) = \langle \\texttt{pos}(v), \omega \\rangle` .</span>

<span class="sd">        Parameters:</span>

<span class="sd">            theta (float):</span>
<span class="sd">                The angle in :math:`[0,2\pi]` for the direction to compute the :math:`g(v)` values.</span>

<span class="sd">        Returns:</span>

<span class="sd">            dict: A dictionary mapping vertices to their :math:`g(v)` values.</span>

<span