1. Whether a state supreme court's denial of a writ of mandamus violates the Due Process Clause of the Fourteenth Amendment when the petitioner demonstrates a clear legal right to the requested relief.

2. Whether the refusal of a state official to act, when challenged through a writ of mandamus, constitutes a federal question warranting review by the United States Supreme Court.

3. Whether a state court's denial of a motion for rehearing or modification exceeds the scope of judicial discretion when the petition involves matters affecting the rights and welfare of a minor under state supervision.

Whether a state supreme court's denial of a writ of mandamus violates the Due Process Clause of the Fourteenth Amendment when the petitioner demonstrates a clear legal right to the requested relief, and whether such denial constitutes a federal question warranting Supreme Court review when involving matters affecting the rights and welfare of a minor under state supervision