The Super Vertex-Graceful Labeling Of Graphs

Lee and Wei defined super vertex-graceful labeling in 2006. In this paper, the generalized Butterfly Graph B-n(t) and C-n((t)) graph are discussed, the generalized butterfly Graph B-n(t) is super vertex-graceful when t(t > 0) is even, B-n(0) is super vertex-graceful when n equivalent to 0, 3(mod4); For C-3((t)) there are: C-3((t)) is super vertex-graceful if and only if t = 1, 2, 3, 5, 7. Moreover, we propose two conjectures on super vertex-graceful labeling.