Covering cover pebbling number for square of a cycle

Abstract

Let GG be a connected graph. Let p be the number of pebbles distributed on the vertices of GG. A pebbling move is defined by removing two pebbles from one vertex and put a pebble on an adjacent vertex. The covering cover pebbling number, σ(G)σ(G), is the least p such that after a sequence of pebbling moves, the set of vertices should form a covering for GG from every configuration of p pebbles on the vertices of GG. In this paper, we determine the covering cover pebbling number for square of a cycle.