Lucas Divisor Cordial labeling of various graphs

Abstract

In this we found six new graphs families satisfying the condition of Lucas divisor cordial labeling. We prove that Shadow of star graph is Lucas divisor cordial. We prove that Degree splitting of star graph is Lucas divisor cordial. We prove that Jewel graph J_n is Lucas divisor cordial. And we prove that Globe graph Gl_n is Lucas divisor cordial. Further we prove that K_{1, 1, n} is Lucas divisor cordial. And we also prove that Degree splitting of path graph is Lucas divisor cordial labeling.