Upper Bound of $L(^{0,1,2}_{d,d,1})$-Labeling Number of a Class of Fissile Graphs

Abstract:

      In this paper, we extend the result for the case where every vertex needs one label to the case where every vertex needs more labels, give the definition of the fissile graph and the definition of $L(^{0,1,2}_{d,d,1})$-labeling of the weighted graphs, and obtain an upper bound of the $L(^{0,1,2}_{d,d,1})$-labeling number of the fissile graphs of $R$-unit sphere graphs.