(Top) Correspondence between tensile strength and toughness of the rGO, G-PCO, πBG-V, and SBG-V sheets is indicated. (Bottom) Results show for these sheet types the time required for the first appearance of sheet fragmentation during ultrasonication (100 W at 40 kHz) in NMP, (DMF), NaOH (with OH− concentration of 8 mol·L−1), H2SO4 (with H+ concentration of 8 mol·L−1), and water. Note for each of these solutions that this structure retention time increases monotonically with increase in sheet strength.