Add the yeast and one teaspoon of sugar to the warm water and give a gentle stir. Allow the mixture to proof for about 5 minutes.
In the bowl of a stand mixer with a paddle attachment, combine the yeast mixture, scalded milk, remaining sugar and 4 cups of flour at medium speed. Add the melted butter, eggs, and salt, then mix well.
Add the dough hook attachment to the stand mixer and add more flour, ½ cup at a time, to form a soft dough. It is not necessary to add all of the flour.
Transfer the dough to a large bowl that has been coated in oil. Turn the dough over to grease the top. Cover the bowl with greased plastic wrap and let the dough rise in a warm place until double in size.
Punch down the dough and place on a lightly floured surface. Roll the dough into a rectangle and cut into fourths with a pizza cutter, for easier shaping. Allow to rest for 10 minutes.
Cut the dough into square rolls and place them on prepared baking sheets lined with parchment paper. Let the dough rise for another 20 minutes.
Bake the rolls at 350 degrees for 15-20 minutes until golden brown. Brush the warm rolls with melted butter.