Odd Harmonious Labelings of Cyclic Snakes

Most graph labeling methods trace their origion to one introduced by Rosa [1] called such a labeling a β-valuation and Golomb [2] subsequently called graceful labeling, and one introduced by Graham and Sloane [3] called harmonious labeling. Several infinite families of graceful and harmonious graphs have been reported. Many illustrious works on graceful graphs brought a tide to different ways of labeling the elements of graph such as odd graceful.