K-Even Even Edge Graceful Labeling and Some Complementary Graceful Labeling

S. P Lo [4] introduced the notion of edge-graceful graphs. Sin-Min Lee, Kuo-Jye Chen and Yung-Chin Wang [6] introduced the k-edge-graceful graphs. B. Gayathri, M. Duraisamy and M. Tamilselvi [3] introduced the even edge-graceful graphs. In this paper, we introduce definitions of k-even even edge gracefulness, complementary odd-even graceful labeling, complementary edge-odd graceful labeling and we also prove that some well known graphs namely, Friendship graph Fm, prism Dn, etc. , are k-even even edge graceful.