SUPER-EDGE-MAGIC LABELING OF TREES WITH LARGE DIAMETER

Yasuhiro Fukuchi (Japan) and Akito Oshima (Japan)

Received December 4, 2007

References:

[1] H. Enomoto, A. S. Llado, T. Nakamigawa and G. Ringel, Super edge-magic graphs, SUT J. Math. 34 (1998), 105-109. [2] Y. Fukuchi, A recursive theorem for super edge-magic labelings of trees, SUT J. Math. 36 (2000), 279-285. [3] Y. Fukuchi and A. Oshima, Recursive constructions of consecutively super edge-magic trees, Advances and Applications in Discrete Mathematics, to appear. [4] A. Kotzig and A. Rosa, Magic valuations of finite graphs, Canad. Math. Bull. 13 (1970), 451-461. [5] A. Oshima, Edge-Magic Labelings of a Family of Trees, in preparation. [6] G. Ringel and A. S. Llado, Another tree conjecture, Bull. ICA 18 (1996), 83-85.

Keywords and phrases: super-edge-magic labeling, consecutively super-edge-magic labeling.