Hegde, S.M.Murthy, T.S.2026-02-052016National Academy Science Letters, 2016, 39, 6, pp. 451-4530250541Xhttps://doi.org/10.1007/s40009-016-0504-7https://idr.nitk.ac.in/handle/123456789/25853Adams and Ponomarenko (Involv J Math 3(3):341–344, 2010) conjectured that when n is composite, k<n and gcd(a1,a2,..,ak)?Zn×, then there exist distinct x<inf>i</inf>? Z<inf>n</inf> satisfying (Formula Presented). In this paper, distinct solution has been constructed to the linear congruence when ?i=1kai=n-1, using super edge-magic labeling of trees. © 2016, The National Academy of Sciences, India.Edge-magic labelingLinear congruenceSuper edge-magic labeling