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- W2051236233 abstract "Partial cubes are graphs that allow isometric embeddings into hypercubes. Θ -graceful labelings of partial cubes are introduced as a natural extension of graceful labelings of trees. It is shown that several classes of partial cubes are Θ -graceful, for instance even cycles, Fibonacci cubes, and (newly introduced) lexicographic subcubes. The Cartesian product of Θ -graceful partial cubes is again such and we wonder whether in fact any partial cube is Θ -graceful. A connection between Θ -graceful labelings and representations of integers in certain number systems is established. Some directions for further investigation are also proposed." @default.
- W2051236233 created "2016-06-24" @default.
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- W2051236233 date "2006-07-01" @default.
- W2051236233 modified "2023-09-29" @default.
- W2051236233 title "<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si11.gif overflow=scroll><mml:mi>Θ</mml:mi></mml:math>-graceful labelings of partial cubes" @default.
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- W2051236233 doi "https://doi.org/10.1016/j.disc.2006.02.013" @default.
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