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On super edge-magic labeling of some graphs
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A graph G = (V, E) is called super edge-magic if there exists a one-to-one map λ from V υ E onto {1, 2, 3, ...,|V| + |E|} such that λ (V ) = {1, 2, ...,|V|} and λ(x)+λ(xy)+λ(y) is constant for every edge xy. In this paper, we investigate whether some families of graphs are super edge-magic or not.
Abstract
A graph G = (V, E) is called super edge-magic if there exists a one-to-one map λ from V υ E onto {1, 2, 3, ...,|V| + |E|} such that λ (V ) = {1, 2, ...,|V|} and λ(x)+λ(xy)+λ(y) is constant for every edge xy. In this paper, we investigate whether some families of graphs are super edge-magic or not.
참고문헌 (6)
- H. Enomoto, "Super edge-magic graphs", SUT Journal of Mathematics, 34(2), pp.105~109 (1998)
- A. Kotzig, "Magic valuations of finite graphs", Canadian Mathematical Bulletin, 13, pp.451~461 (1970)
- G. Ringel, "Another tree conjecture", Bulletin of the Institute of Combinatorics and its Applications, 18, pp.83~85 (1996)
- W. D. Wallis, "Magic Graphs" (2001), Birkh¨auser Boston, Inc.
- W. D. Wallis, "Edge-magic total labelings", The Australasian Journal of Combinatorics, 22, pp.177~190 (2000)
- D. B. West, "Introduction to Graph Theory" (1996), Prentice Hall, Inc.
관련 논문AI추천
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