A Partial Solution to Linear Congruence Conjecture
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Date
2016
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Publisher
Springer India sanjiv.goswami@springer.co.in
Abstract
Adams 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.
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Keywords
Edge-magic labeling, Linear congruence, Super edge-magic labeling
Citation
National Academy Science Letters, 2016, 39, 6, pp. 451-453