A graph is said to be odd harmonious if there exists an injection such that the induced function defined by is a bijection. A graph that admits odd harmonious labeling is called odd harmonious graph. In this paper, we prove that shadow and splitting of graph for (mod 4), the graph double quadrilateral snakes the graph if is odd, banana tree and the path union of cycles for (mod 4) are odd harmonious.
"Odd harmonious labeling of some new families of graphs." SUT J. Math. 51 (2) 181 - 193, December 2015. https://doi.org/10.55937/sut/1454685507