The Computational Complexity of One-Dimensional Sandpiles

Abstract. We prove that the one-dimensional sandpile prediction problem is in AC1 . The previously best known upper bound on the ACi -scale was AC2 . We also prove that it is not in AC1− for any constant > 0.

• Type: Conference
• Year: 2005
• Where: CIE
• Authors: Peter Bro Miltersen
• Keywords: CIE 2005, One-dimensional Sandpile Prediction, Upper Bound