Directed Edge-Graceful Labeling of One Point Union of M-Copies of Path Graph

Abstract

Rosa [11] introduced the notion of graceful labelings. The concept of magic, antimagic and conservative labelings have been extended to directed graphs [9]. Bloom and Hsu [3,4,5] extended the notion of graceful labeling to directed graph.  In 1985, Lo [10] introduced the notion of edge-graceful graphs. We introduced the concept of edge-graceful labelings to directed graphs and further studied in [15,16,17,18,19,20]. In this paper we investigate directed edge-graceful labeling of one point union of m- copies of path graph.