Titlebook: Magic Graphs; W. D. Wallis Textbook 20011st edition Birkh?user Boston 2001 Applications of Mathematics.Combinatorics.Computer.Graph.Graph

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Edge-Magic Total Labelings,An . on a graph . is a one-to-one map λ from .(.) ∪ .(.) onto the integers 1, 2, …, . + ., where . =.(.) and . = .(.), with the property that, given any edge (.),.(.) + .(.) + .(.) = .for some constant .. In other words, . (.) = . for any choice of edge .. . is called the . of .. Any graph with an edge-magic total labeling will be called ..

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Totally Magic Labelings,In this chapter we investigate the question: for a graph . does there exist a total labeling λ that is both edge-magic and vertex-magic? As we said, such a λ is called a . and . is a . graph. The constants . and . are the magic constant and magic sum respectively. We do not require that . = ..

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