ShivarajkumarSriraj, M.A.Hegde, S.M.2026-02-052021AKCE International Journal of Graphs and Combinatorics, 2021, Vol.18, 3, p. 143-1479728600https://doi.org/10.1080/09728600.2021.1978014https://idr.nitk.ac.in/handle/123456789/28390A digraph D with p vertices and q arcs is labeled by assigning a distinct integer value g(v) from (Formula presented.) to each vertex v. The vertex values, in turn, induce a value g(u, v) on each arc (u, v) where g(u, v) = (g(v) − g(u)) (mod q + 1) If the arc values are all distinct then the labeling is called a graceful labeling of digraph. In this survey article, we have collected results that we could find interesting on graceful labeling of digraphs. © 2021 The Author(s). Published with license by Taylor & Francis Group, LLC.complete mappingsGraceful labelingpartitionsequenceable groupsystem of simultaneous congruences