Existence Relaxed skolem mean labeling for a 6 – star graph 1 2 3 4 1 2 G K K K K K K       1, 1, 1, 1, 1, 1,       with partition 4, 2 with a certain condition is the core topic of the following article. Trial and error method is used to find the existence of the relaxed skolem mean labeling of 6 – star graph with partition 4,2 holding a specific condition