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Magic Labeling

It is conjectured that every Tree with $e$ edges whose nodes are all trivalent or monovalent can be given a ``magic'' labeling such that the Integers 1, 2, ..., $e$ can be assigned to the edges so that the Sum of the three meeting at a node is constant.

See also Magic Constant, Magic Cube, Magic Graph, Magic Hexagon, Magic Square


Guy, R. K. ``Unsolved Problems Come of Age.'' Amer. Math. Monthly 96, 903-909, 1989.

© 1996-9 Eric W. Weisstein