Rubbling Number of $${{\varvec{C}}}_{{\varvec{n}}}\times {{\varvec{C}}}_{{\varvec{n}}}$$ Under the Same Parity

Graph pebbling and graph rubbling are the shifting of two pebbles and attachment of one pebble on the specified vertex with respect to pebbling step and rubbling step. In this paper, we describe the rubbling number of \({C}_{n}\times {C}_{n}\) where \(n\ge 2\) and under the assumption that cycle graph with \(n\) vertices is of same parity.